Publications

## Publications of

Mathukumalli Vidyasagar

Fellow of The Royal Society

Cecil & Ida Green Chair in

Systems Biology Science

### Notes

Please visit the research page for recent papers including those in press or in draft form, seminar presentations, etc.Most papers are clickable, though obviously the quality of the output will vary depending on the journal's archiving process. If you really want a very old paper, please write to me.

### Books

- C. A. Desoer and M. Vidyasagar,
*Feedback Systems: Input-Output Properties*, Academic Press, New York, 1975. - M. Vidyasagar,
*Nonlinear Systems Analysis*, Prentice-Hall, Englewood Cliffs, NJ, 1978. - M. Vidyasagar
*Input-Output Analysis of Large-Scale Interconnected Systems: Decomposition, Well-Posedness and Stability*, Springer-Verlag, New York, 1981. - M. Vidyasagar,
*Control System Synthesis: A Factorization Approach*, MIT Press, Cambridge, MA, 1985. - M. W. Spong and M. Vidyasagar,
*Robot Dynamics and Control*, John Wiley, New York, 1989. - M. Vidyasagar,
*Nonlinear Systems Analysis*, (Second Edition), Prentice-Hall, Englewood Cliffs, NJ, 1993. - M. Vidyasagar,
*A Theory of Learning and Generalization: With Applications to Neural Networks and Control Systems*, Springer-Verlag, London, 1997. - M. Vidyasagar,
*Learning and Generalization With Applications to Neural Networks*, (Second Edition), Springer-Verlag, London, 2003. - M. W. Spong, S. R. Hutchinson and M. Vidyasagar,
*Robot Modeling and Control*, John Wiley and Sons, New York, 2006. - M. Vidyasagar,
*Computational Cancer Biology: An Interaction Networks Approach*, Springer-Verlag, London, 2012. - M. Vidyasagar,
*Hidden Markov Processes: Theory and Applications to Biology*, to be published shortly by Princeton University Press.

### Republished Books

- M. Vidyasagar,
*Nonlinear Systems Analysis*, Society of Industrial and Applied Mathematics, (SIAM Classics Series), Philadelphia, 2002. (Reprint of Book No. 6 above) - C. A. Desoer and M. Vidyasagar,
*Feedback Systems: Input-Output Properties*, (SIAM Classics Series), Philadelphia, 2009. (Reprint of Book No. 1 above) - M. Vidyasagar,
*Control System Synthesis: A Factorization Approach*, Morgan & Claypool, 2011. (Completely re-typeset version, with several typos corrected, of Book No. 4 above)

### Publications in Refereed Journals

- M. Vidyasagar and T. J. Higgins, ``A controllability criterion
for stable linear systems,''
*IEEE Trans. Auto. Control*,**AC-15(3)**, 391-392, June 1970. PDF - J. A. Heinen and M. Vidyasagar, ``Lagrange stability and higher
order derivatives of Lyapunov functions,''
*Proc. IEEE*,**58(7)**, 1174, July 1970. - M. Vidyasagar, ``A controllability criterion for linear systems
with unbounded operators,''
*IEEE Trans. Auto. Control*,**AC-15(4)**, 491-492, August 1970. PDF - M. Vidyasagar, ``On the controllability of infinite-dimensional
linear systems,''
*J. Opt. Thy. and Appl.*,**6**, 171-173, August 1970. - M. Vidyasagar, ``An algebraic method of finding a dual graph of
a given graph,''
*IEEE. Trans. Circ. Thy.*,**CT-17(4)**, 434-436, August 1970. - M. V. Subbarao and M. Vidyasagar, ``On Watson's quintuple
product identity,''
*Proc. Amer. Math. Soc.*,**26**, 23-27, September 1970. PDF - M. Vidyasagar, ``A novel method of evaluating e^At in closed
form,''
*IEEE Trans. Auto. Control*,**AC-15(5)**, 600-601, October 1970. PDF - H. Schneider and M. Vidyasagar, ``Cross-positive matrices,''
*SIAM J. Num. Anal.*,**7**, 508-519, December 1970. PDF - M. Vidyasagar, ``An extension of bounded-input-bounded-output
stability,''
*IEEE Trans. Auto. Control*,**AC-15(6)**, 702-703, December 1970. PDF - M. Vidyasagar, ``A comment on `A definition and some results for
distributed system observability',''
*IEEE Trans. Auto. Control*,**AC-16**, 209, February 1971. PDF - M. Vidyasagar and J. A. Heinen, ``Estimating the transient
response and settling time of time-varying linear systems,''
*Int. J. Sys. Sci.*,**1**, 257-263, March 1971. - M. Vidyasagar, ``Optimal control by direct inversion of a positive
definite operator in Hilbert space,''
*J. Opt. Thy. and Appl.*,**7**, 173-177, March 1971. - M. Vidyasagar, ``On a class of inverse optimal control problems,''
*J. Opt. Thy. and Appl.*,**7**, 287-301, April 1971. - M. Vidyasagar, ``Causal systems and feedforward loops,''
*IEEE Trans. Auto. Control*,**AC-16(2)**, 209, April 1971. PDF - M. Vidyasagar, ``On the $L_2$-stability of time-varying linear
systems,''
*IEEE Trans. Auto. Control*,**AC-16(3)**, 268-269, June 1971. PDF - M. Vidyasagar, ``A characterization of e^At and a constructive
proof of the controllability criterion,''
*IEEE Trans. Auto. Control*,**AC-16(4)**, 370-371, August 1971. PDF - C. A. Desoer and M. Vidyasagar, ``General necessary conditions
for input-output stability,''
*Proc. IEEE*,**59(8)**, 1255-1256, August 1971. - M. Vidyasagar and J. C. Giguere, ``Equivalence of the
stability properties of two related classes of feedback systems,''
*Proc. IEEE*,**59(12)**, 1727-1728, December 1971. - G. E. Andrews, M. V. Subbarao and M. Vidyasagar,
``A family of combinatorial identities,''
*Can. Math. Bull.*,**15(1)**, 11-18, January 1972. - M. Vidyasagar, ``Input-output properties of a broad class of
linear time-invariant multivariable systems,''
*SIAM J. Control*,**10(1)**, 203-209, February 1972. PDF - S. A. Gracovetsky and M. Vidyasagar, ``A simple iterative
method of supoptimal control of linear time-lag systems with quadratic
costs,''
*Int. J\ Control*,**16**, 997-1002, May 1972. - M. Vidyasagar, ``An instability condition for nonlinear time-varying
feedback systems,''
*Proc. IEEE*,**60(6)**, 762, June 1972. - M. Vidyasagar, ``$L_p$-stability of time-varying linear feedback
systems,''
*IEEE Trans. Auto. Control*,**AC-17(3)**, 412-414, June 1972. PDF - M. Vidyasagar, ``A controllability condition for nonlinear systems,''
*IEEE Trans. Auto. Control*,**AC-17(4)**, 569-570, August 1972. PDF - J. C. Giguere, M. Vidyasagar and M. N. S. Swamy,
``Input-output stability of two broad classes of lumped-distributed systems,''
*J. Franklin Inst.*,**294**, 203-213, September 1972. - M. Vidyasagar, ``Some applications of the spectral radius concept to
nonlinear feedback stability,''
*IEEE Trans. Circ. Thy.*,**CT-19(6)**, 607-615, November 1972. - S. A. Gracovetsky and M. Vidyasagar, ``Suboptimal control of neutral
systems,''
*Int. J. Control*,**18**, 121-128, January 1973. - M. Vidyasagar and T. J. Higgins, ``A basic theorem on distributed
control and point control,''
*ASME Trans., J. Dyn. Sys., Meas. and Control*,**95(1)**, 64-67, March 1973. - M. Vidyasagar, ``An elementary proof of a factorization theorem for
positive operators,''
*IEEE Trans. Auto. Control*,**AC-18(4)**, 403-404, August 1973. PDF - M. Vidyasagar and G. S. Mueller, ``Optimal control of linear
systems with a class of nonquadratic convex cost functionals,''
*Int. J. Control*,**19**, 657-600, September 1973. - M. Vidyasagar, ``Maximum power transfer in $n$-ports with passive
loads,''
*IEEE Trans. Circ. and Sys.*,**CAS-21(5)**, 327-330, May 1974. PDF - N. K. Bose and M. Vidyasagar, ``Proof of Talbot's conjecture
and consequences,''
*IEEE Trans. Circ. and Sys.*,**CAS-21(9)**, 701, September 1974. - M. Vidyasagar, ``Simplified graphical stability criteria for
distributed feedback systems,''
*IEEE Trans. Auto. Control*,**AC-20(3)**, 440-442, June 1975. PDF - M. Vidyasagar, ``Conditions for a feedback transfer matrix to be
proper,''
*IEEE Trans. Auto. Control*,**AC-20(4)**, 570-571, August 1975. - S. R. K. Dutta and M. Vidyasagar, ``Optimal design of nonlinear
DC transistor circuits without solving network equations,''
*IEEE Trans. Circ. and Sys.*,**CAS-22(8)**, 661-665, August 1975. PDF - M. Vidyasagar, ``Coprime factorizations and stability of
multivariable distributed feedback systems,''
*SIAM J. Control*,**13(4)**, 1144-1155, November 1975. - M. Vidyasagar, ``On the existence of optimal controls,''
*J. Opt. Thy. and Appl.*,**17**, 273-278, November 1975. - M. Vidyasagar, ``A new approach to $N$-person nonzero sum
linear differential games,''
*J. Opt. Thy. and Appl.*,**18**, 171-175, January 1976. - M. Vidyasagar, ``$L_2$-instability criteria for interconnected
systems,''
*SIAM J. Control*,**15(1)**, 312-328, February 1977. - M. Vidyasagar and M. A. L. Thathachar, ``A note on feedback
stability and instability in the Marcinkiewicz space $M_2$,''
*IEEE Trans. Circ. and Sys.*,**CAS-24(3)**, 127-131, March 1977. - M. Vidyasagar, ``On the instability of large-scale systems,''
*IEEE Trans. Auto. Control*,**AC-22(2)**, 267-269, April 1977. PDF - S. R. K. Dutta and M. Vidyasagar, ``Worst-case design of
DC transistor circuits,''
*IEEE Trans. Circ. and Sys.*,**CAS-24(5)**, 273-274, May 1977. - M. K. Sundareshan and M. Vidyasagar, ``$L_2$-stability of
large-scale dynamical systems -- Criteria via positive operator theory,''
*IEEE Trans. Auto. Control*,**AC-22(3)**, 396-399, June 1977. PDF - M. Vidyasagar, ``Instability of feedback systems,''
*IEEE Trans. Auto. Control*,**AC-22(3)**, 466-467, June 1977. PDF - S. R. K. Dutta and M. Vidyasagar, ``New algorithms for constrained
minimax optimization,''
*Math. Programming*,**13**, 140-155, October 1977. - M. Vidyasagar, ``$L_2$-stability of interconnected systems using
a reformulation of the passivity theorem,''
*IEEE Trans. on Circ. and Sys.*,**CAS-24(11)**, 637-645, November 1977. - M. Vidyasagar, ``On matrix measures and convex Liapunov functions,''
*J. Math. Anal. Appl.*,**62**, 90-103, January 1978. - R. A. El-Attar and M. Vidyasagar, ``Order reduction by $\ell_1$-
and $\ell_\infty$-norm minimization,''
*IEEE Trans. Auto. Control*,**AC-23(4)**, 731-734, August 1978. PDF - M. Vidyasagar, ``On the use of right-coprime factorizations in
distributed feedback systems containing unstable subsystems,''
*IEEE Trans. Circ. and Sys.*,**CAS-25(11)**, 916-925, November 1978. - M. Vidyasagar, ``$L_\infty$-stability criteria for interconnected
systems using exponential weighting,''
*IEEE Trans. Circ. and Sys.*,**CAS-25(11)**, 946-947, November 1978. - R. A. El-Attar and M. Vidyasagar, ``System order reduction using
the induced operator norm and its application to linear regulation,''
*J. Franklin Inst.*,**306**, 457-474, December 1978. - R. A. El-Attar, M. Vidyasagar and S. R. K. Dutta,
``New algorithms for $\ell_1$-norm minimization with application to nonlinear
$\ell_1$-norm approximation,
*SIAM J. Num. Anal.*,**16**, 70-86, February 1979. - R. A. El-Attar and M. Vidyasagar, ``Subsystem simplification in
large-scale system analysis,''
*IEEE Trans. Auto. Control*,**AC-24(2)**, 321-323, April 1979. PDF - M. Vidyasagar, ``New passivity-type criteria for large-scale
interconnected systems,''
*IEEE Trans. Auto. Control*,**AC-24(4)**, 575-579, August 1979. - M. Vidyasagar, ``On the well-posedness of large-scale interconnected
systems,''
*IEEE Trans. Auto. Control*,**AC-25(3)**, 413-420, June 1980. - M. Vidyasagar, ``On the stabilization of nonlinear systems using
state detection,''
*IEEE Trans. Auto. Control*,**AC-25(3)**, 504-509, June 1980. PDF - M. Vidyasagar, ``Decomposition techniques for large-scale systems
with nonadditive interconnections,''
*IEEE Trans. Auto. Control*,**AC-25(4)**, 773-779, August 1980. - M. Vidyasagar, ``New $L_2$-instability criteria for large-scale
interconnected systems,''
*IEEE Trans. Circ. and Sys.*,**CAS-27(10)**, 970-973, October 1980. - M. Vidyasagar, ``$L_\infty$-instability of large-scale interconnected
systems using orthogonal decomposition and exponential weighting,''
*IEEE Trans. Circ. and Sys.*,**CAS-27(10)**, 973-976, October 1980. - P. J. Moylan, A. Vannelli and M. Vidyasagar, ``On the stability
and well-posedness of interconnected nonlinear dynamical systems,''
*IEEE Trans. Circ. and Sys.*,**CAS-27(11)**, 1097-1102, November 1980. - N. Viswanadham and M. Vidyasagar, ``Stabilization of linear and
nonlinear dynamical systems using an observer-controller configuration,''
*Sys. Control Lett.*,**1**, 87-91, August 1981. - W. Kotiuga and M. Vidyasagar, ``Bad data rejection properties of
weighted least absolute value techniques applied to static state estimation,''
*IEEE Trans. Power App. and Sys.*,**PAS-101**, 844-853, April 1982. PDF - M. Vidyasagar and A. Vannelli, ``New relationships between
input-output and Lyapunov stability,''
*IEEE Trans. Auto. Control*,**AC-27(2)**, 481-483, April 1982. PDF - M. Vidyasagar, A. Boyarski and A. Vannelli, ``On the stability
properties of perturbed linear nonstationary systems,''
*J. Math. Anal. Appl.*,**38**, 245-256, July 1982. - M. Vidyasagar, H. Schneider and B. A. Francis, ``Algebraic and
topological aspects of feedback stabilization,''
*IEEE Trans. Auto. Control*,**AC-27(4)**, 880-894, August 1982. PDF - M. Vidyasagar and N. Viswanadham, ``Algebraic design techniques
for reliable stabilization,''
*IEEE Trans. Auto. Control*,**AC-27(5)**, 1085-1095, October 1982. PDF - B. A. Francis and M. Vidyasagar, ``Algebraic and topological aspects
of the regulator problem for lumped linear systems,''
*Automatica*,**19**, 87-90, January 1983. - K. R. Davidson and M. Vidyasagar, ``Causal invertibility and
stability of asymmetric half-plane digital filters,''
*IEEE Trans. Acoustics, Speech, Sig. Proc.*,**ASSP-31**, 195-201, February 1983. - M. Vidyasagar and N. Viswanadham, ``Algebraic characterization of
decentralized fixed modes,''
*Sys. Control Lett.*,**3**, 69-72, July 1983. - M. Vidyasagar, ``A note on time-invariance and causality,''
*IEEE Trans. Auto. Control*,**AC-28(9)**, 929-931, September 1983. - M. Vidyasagar, ``The graph metric for unstable plants and robustness
estimates for feedback stability,''
*IEEE Trans. Auto. Control*,**AC-29(5)**, 403-418, May 1984. PDF - H. Maeda and M. Vidyasagar, ``Some results on simultaneous
stabilization,''
*Sys. Control Lett.*,**5**, 205-208, September 1984. - A. Vannelli and M. Vidyasagar, ``Maximal Lyapunov functions and
domains of attraction for autonomous nonlinear systems,''
*Automatica*,**21**, 69-80, January 1985. - M. Vidyasagar, ``Robust stabilization of singularly perturbed
systems,''
*Sys. Control Lett.*,**5**, 413-418, May 1985. PDF - H. Maeda and M. Vidyasagar, ``Design of multivariable feedback
systems with infinite gain margin and decoupling,''
*Sys. Control Lett.*,**6**, 127-130, July 1985. - M. Vidyasagar and N. Viswanadham, ``Reliable stabilization using
a multi-controller configuration,''
*Automatica*,**21**, 599-602, September 1985. - M. Vidyasagar and H. Kimura, ``Robust controllers for uncertain
linear multivariable systems,''
*Automatica*,**22**, 85-94, January 1986. PDF - H. Maeda and M. Vidyasagar, ``Infinite gain margin problem in
multivariable feedback systems,''
*Automatica*,**22**, 131-133, January 1986. - C. C-H. Ma and M. Vidyasagar, ``Nonpassivity of linear discrete-time
systems,''
*Sys. Control Lett.*,**7**, 51-53, February 1986. - K. D. Minto and M. Vidyasagar, ``A state-space approach to
simultaneous stabilization,''
*Control: Theory and Advanced Technology*,**2**, 39-64, March 1986. - M. Vidyasagar, ``On undershoot and nonminimum phase zeros,''
*IEEE Trans. Auto. Control*,**AC-31(5)**, 440, May 1986. - M. Vidyasagar ``Optimal rejection of persistent bounded disturbances,''
*IEEE Trans. Auto. Control*,**AC-31(6)**, 527-534, June 1986. PDF - M. Vidyasagar, ``New directions of research in nonlinear system
stability,'' (Invited Survey Paper),
*Proc. IEEE*,**74(8)**, 1060-1091, August 1986. - M. Vidyasagar, B. C. Levy and N. Viswanadham,
``A note on the genericity of simultaneous stabilization and pole
assignability,''
*Circ., Sys., Sig. Processing*,**5**, 371-387, 1986. - M. Vidyasagar N. Viswanadham,
``Construction of inverses with prescribed nonzero minors and applications
to decentralized stabilization,''
*Linear Alg. and Its Appl.*,**83**, 103-115, 1986. - C. C-H. Ma and M. Vidyasagar, ``Direct globally convergent adaptive
regulation of stable multivariable plants,''
*IEEE Trans. Auto. Control*,**AC-32(6)**, 543-547, June 1987. - M. W. Spong and M. Vidyasagar, ``Robust linear compensator design
for nonlinear robotic control,''
*IEEE J. Robotics and Automation*,**RA-3**, 345-351, August 1987. PDF - M. Vidyasagar, ``Some results on simultaneous stabilization with
multiple domains of stability,''
*Automatica*,**23**, 535-540, July 1987. - C. C-H. Ma and M. Vidyasagar, ``Parametric conditions for stability
of reduced-order linear time-varying control systems,''
*Automatica*,**23**, 625-634, September 1987. - M. Vidyasagar, ``Normalized coprime factorizations for nonstrictly
proper systems,''
*IEEE Trans. Auto. Control*,**AC-33(3)**, 300-301, March 1988. - M. Vidyasagar, R. Bertschmann and C. S. Sallaberger,
``Some simplifications of the graphical Nyquist stability criterion,''
*IEEE Trans. Auto. Control*,**AC-33(3)**, 301-305, March 1988. - M. Vidyasagar, ``A state space interpretation of simultaneous
stabilization,''
*IEEE Trans. Auto. Control*,**AC-33(5)**, 506-508, May 1988. - K. H. Low and M. Vidyasagar, ``A Lagrangian formulation of the
dynamic model for flexible manipulators,''
*ASME Trans., J. Dynamic Sys., Meas. and Control*,**110(2)**, 175-181, June 1988. - A. Sankaranarayanan and M. Vidyasagar, ``On the problem of contour
following with applications to force control,''
*ASME Trans., J. Dynamic Sys., Meas. and Control*,**110(4)**, 443-448, December 1988. - M. Vidyasagar, ``SFPACK -- An interactive environment for control
system analysis and synthesis,''
*Robotics and Computer Integrated Manufacturing*,**5(4)**, 311-319, 1989. - M. Vidyasagar and B. D. O. Anderson, ``Approximation and
stabilization of distributed systems by lumped systems,''
*Sys. Control Lett.*,**12(2)**, 95-101, February 1989. PDF - T. Sugie and M. Vidyasagar, ``Further results on the robust tracking
problem for two degree of freedom controllers,''
*Sys. Control Lett.*,**13**, 101-108, 1989. - D. McFarlane, K. Glover and M. Vidyasagar, ``Order reduction
using normalized coprime factorizations,''
*IEEE Trans. Auto. Control*,**AC-35(3)**, 369-373, March 1990. - K. A. Morris and M. Vidyasagar, ``A comparison of different models
for beam vibrations from the standpoint of controller design,''
*ASME Trans., J. Dyn. Sys., Meas. and Control*,**112(3)**, 349-356, September 1990. - G. S. Deodhare and M. Vidyasagar, ``Some results on the
$\ell_1$-optimality of feedback control systems: The SISO discrete-time case,''
*IEEE Trans. Auto. Control*,**35(9)**, 1082-1085, September 1990. - Y. C. Chen and M. Vidyasagar, ``Optimal control of robotic
manipulators in the presence of obstacles,''
*J. Robotic Sys.*,**7(5)**, 721-740, October 1990. - M. Vidyasagar, ``An analysis of the equilibria of neural networks
with linear interconnections,''
*Sadhana*, {bf 15(59-60), 283-300, December 1990. - M. Vidyasagar, ``Further results on the optimal rejection of persistent
bounded disturbances,''
*IEEE Trans. Auto. Control*,**AC-36(6)**, 642-652, June 1991. - G. S. Deodhare and M. Vidyasagar, ``Every stabilising controller is
$H_\infty$ and $\ell_1$-optimal,''
*IEEE Trans. Auto. Control*,**AC-36(9)**, 1070-1073, September 1991. - D. Wang and M. Vidyasagar, ``Transfer functions for a single flexible
link,''
*Int. J. Robotic Res.*,**10(5)**, 540-549, October 1991. PDF - D. Wang and M. Vidyasagar, ``Control of a class of manipulators with
a single flexible link, Part I: Feedback linearization,''
*ASME Trans., J. Dyn. Sys., Meas. and Control*,**113(4)**, 655-661, December 1991. - D. Wang and M. Vidyasagar, ``Control of a class of manipulators with
a single flexible link, Part II: Observer-controller stabilization,''
*ASME Trans., J. Dyn. Sys., Meas. and Control*,**113(4)**, 662-668, December 1991. - D. Wang and M. Vidyasagar, ``Modelling a class of multi-link
manipulators with the last link flexible,''
*IEEE Trans. Robotics and Automation*,**8(1)**, 33-41, February 1992. - M. Vidyasagar, ``Improved neural networks for analog to digital
conversion,''
*Circ., Sys. and Sig. Proc.*,**11(3)**, 387-398, 1992. - G. S. Deodhare and M. Vidyasagar, ``Control system design via
infinite linear programming,''
*Int. J. Control*,**55(6)**, 1351-1380, June 1992. - D. Wang and M. Vidyasagar, ``Passive control of a single flexible
link,''
*Int. J. Robotic Res.*,**11(6)**, 572-579, December 1992. - H. Krishnan and M. Vidyasagar, ``Bounded input $H_2$-optimal feedback
control of linear systems with application to the control of a flexible
beam,''
*Control: Theory and Advanced Technology*,**9(2)**, 381-403, June 1993. - M. Vidyasagar, ``Location and stability of high-gain equilibria
of nonlinear neural networks,''
*IEEE Trans. Neural Net.*,**NN-4(4)**, 660-672, July 1993. PDF - M. Vidyasagar, ``Convergence of higher-order two-state neural networks
with modified updating,''
*Sadhana*,**19(2)**, 239-255, April 1994. - M. Vidyasagar, ``Dynamical systems, gradient flows and optimization,''
*J. of Institute of Systems, Control and Information Engrg. (Japan)*,**39(1)**, 22-28, January 1995. - M. Vidyasagar, ``Minimum-seeking properties of analog neural networks
with multilinear objective functions,''
*IEEE Trans. Auto. Control*,**AC-40(8)**, 1359-1375, August 1995. PDF - M. Vidyasagar, ``A brief history of the graph topology,''
*J. Soc. Instrumentation and Control Engineers (Japan)*,**34(8)**, 621-628, August 1995. - M. Vidyasagar, ``A brief history of the graph topology,''
*European J. Control*,**2**, 80-87, 1996. - S. R. Kulkarni and M. Vidyasagar, ``Learning decision rules for
pattern classification under a family of probability measures,''
*IEEE Trans. Info. Thy.*,**IT-43(1)**, 154-166, January 1997. PDF - M. Vidyasagar, ``Are analog neural networks better than binary neural
networks?''
*Circ., Sys. and Sig. Proc.*,**17(2)**, 243-269, 1998. - M. Vidyasagar, ``An introduction to the statistical aspects of PAC
learning theory,''
*Sys. Cont. Lett.*,**40**, 115-124, 1998. - D. Deodhare, M. Vidyasagar and S. S. Keerthi, ``Design of
fault-tolerant neural networks using minimax optimization,''
*IEEE Trans. Neural Net.*,**NN-9(5)**, 891-900, September 1998. PDF - M. Vidyasagar and S. R. Kulkarni, ``Some contributions to fixed
distribution learning theory,''
*IEEE Trans. Auto. Control*,**45(2)**, 217-234, February 2000. PDF - M. Vidyasagar, ``Beyond $H_\infty$ design: Robustness, disturbance
rejection and Aizerman-Kalman type conjectures in general signal spaces,''
*Int. J. Robust and Nonlinear Control*,**10**, 961-982, 2000. - M. Vidyasagar, S. Balaji and B. Hammer, ``Closure properties of
uniform convergence of empirical means and PAC learnability under a
family of probability measures,''
*Sys. Cont. Lett*,**42**, 151-157, 2001. - M. Vidyasagar and V. Blondel, ``Probabilistic solutions to some
NP-hard matrix problems,''
*Automatica*,**37**, 1397-1401, 2001. - M. Vidyasagar, ``Randomized algorithms for robust controller synthesis
using statistical learning theory,''
*Automatica*,**37**, 1515-1528, 2001. PDF - M. Campi and M. Vidyasagar, ``Learning with prior information,''
*IEEE Trans. Auto. Control*,**AC-41(11)**, 1682-1695, November 2001. PDF - M. Vidyasagar, ``A tutorial introduction to
randomized algorithms for robust controller synthesis
using statistical learning theory,''
*European J. Control*,**5-6**, 283-310, 2001. - R. L. Karandikar and M. Vidyasagar, ``Rates of uniform convergence
of empirical means with mixing processes,''
*Stat. and Prob. Let.*,**58**, 297-307, 1 June 2002. PDF - M. Vidyasagar and R. L. Karandikar, ``System identification -- A
learning theory approach,''
*Journal of Process Control*,**18**, 421-430, 2007. PDF - M. Vidyasagar, S. S. Mande, C. V. S. K. Reddy and V. Raja Rao,
``The 4M (mixed memory Markov model) algorithm for finding genes in
prokaryotic genomes,''
*IEEE Transactions on Circuits and Systems*,**CAS-55(1)**, 26-37, January 2008 (Special Issue on Systems Biology). PDF - M. Vidyasagar, ``A tutorial introduction to financial engineering,''
*Current Trends in Science (Platinum Jubilee Special, N. Mukunda, Editor)*, Indian Academy of Sciences, 163-185, 2009. PDF - M. Vidyasagar, ``The complete realization problem for hidden Markov
models: A survey and some new results,''
*Mathematics of Control, Signals and Systems*, 23(1), 1-65, 2011. PDF - M. Vidyasagar, ``Probabilistic methods in cancer biology,''
*European Journal of Control*, 17(5-6), 483-511, September-December 2011. PDF - M. Vidyasagar, ``A metric between probability distributions on sets of
distinct cardinalities and applications to order reduction,''
*IEEE Transactions on Automatic Control*, 57(10), 2464-2477, October 2012. PDF - M. Eren Ahsen and M. Vidyasagar, ``Mixing coefficients between discrete
and real random variables: Computation and properties,''
*IEEE Transactions on Automatic Control*, 59(1), 34-47, January 2014. PDF - M. Vidyasagar, ``An elementary derivation of the large deviation rate
function for finite state Markov chains,''
*Asian Journal of Control*, 16(1), 1-19, January 2014. PDF

Please go to the "research" page for accepted papers that have not yet appeared.