School/Workshop on Applicable Theory of Switched Systems was held on June 6-10, 2016 at the University of Texas at Dallas. The goal of the event was to cover the field of switched systems from a systematic viewpoint. In this way the activity served as a school for students. The program of the workshop followed the flowchart published in the right-hand frame.

Flow chart

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Program

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Dear participants, thank you all for coming to UT Dallas and for making this event a success!

Invited speakers: (will respect alphabetic order soon)

Luis Aguilar (Instituto Politécnico Nacional, Mexico) June 6-8 paper
Generating Oscillations via Two-Relay Controller for Uncertain Underactuated Systems

Tamas Kalmar-Nagy (Department of Fluid Mechanics, Budapest University of Technology and Economics, Budapest, Hungary) June 9-10 paper paper
Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing

Michael Posa (Department of Electrical Engineering & Computer Science, Massachusetts Institute of Technology, USA) June 8-10 paper
Stability Analysis and Control of Rigid-Body Systems With Impacts and Friction

Arkady Ponosov (Department of Mathematical Science & Technology, Norwegian University of Life Sciences) paper paper
Hybrid feedback stabilizers

Jim Schmiedeler (Department of Aerospace & Mechanical, University of Notre Dame, USA) paper
Design and experimental implementation of a hybrid zero dynamics-based controller for planar bipeds with curved feet

Qing Hui (Department of Electrical & Computer Engineering, University of Nebraska – Lincoln, USA) June 7-8 paper
Semistability theory for differential inclusions with applications to consensus problems in dynamical networks with switching topology

Gouhei Tanaka (Graduate School of Engineering, University of Tokyo, Japan) June 7-9 paper
Bifurcation Analysis for Disease Models

Bengt Lennartson (Division of Systems and Control, Chalmers University of Technology, Gothenburg, Sweden) June 9-10 paper paper
Modeling and Optimization of Hybrid Systems

Amit Patra (Department of Electrical Engineering, Indian Institute of Technology Kharagpur) paper
Saturation Generated Oscillations in DC-DC converters

Valentina Sessa (Department of Electrical and Telecommunication Engineering, Universidade do Estado do Rio de Janeiro, Brazil) paper
A Complementarity Model for Closed-Loop Power Converters

Kyle Wedgwood (Centre for Biomedical Modelling and Analysis, University of Exeter, UK) paper
Nonsmooth dynamics in spiking neuron models

Alena Talkachova (Department of Biomedical Engineering, University of Minnesota, USA) paper
Nonlinear dynamics of periodically paced cardiac tissue

Petri Piiroinen (School of Mathematics, Statistics & Applied Mathematics, National University of Ireland) paper
Simulation and stability analysis of impacting systems with complete chattering

Wilten Nicola (Faculty of Engineering, Dept. of Bioengineering, Imperial College London, UK) paper
Non-smooth Bifurcations of Mean Field Systems of Two-Dimensional Integrate and Fire Neurons

Mark Spong (Erik Jonsson School of Engineering & Computer Science, University of Texas at Dallas, USA) paper paper paper paper
Switching Control of Partially Linear Cascade Nonlinear Systems

Cynthia Sanchez Tapia (Department of Mathematics, University of California, USA) June 8 paper
Fastest Time to Cancer by Loss of Tumor Suppressor Genes

Enrique Ponce (Department of Applide Mathematics II, University of Seville, Spain) paper abstract
DC-DC boost power converters and the Teixeira singularity

Yildirim Hurmuzlu (Department of Mechanical Engineering, Southern Methodist University, USA) classes 1-5pm paper
The role of impact in the stability of bipedal locomotion

Amit Bhaya (Universidade Federal do Rio de Janeiro, Brazil) paper paper
Realistic threshold policy with hysteresis to control predator–prey continuous dynamics

Andrew Lamperski (Department of Electrical & Computer Engineering, University of Minnesota, USA) paper
Lyapunov Theory for Zeno Stability

Irakli Loladze (Department of Mathematics, Arizona State University, USA) paper
Liebig's law of the minimum: modeling macromolecular and population dynamics

Zoltan Dombovari (Department of Applied Mechanics, Budapest University of Technology and Economics, Hungary) paper
On the global dynamics of chatter in the orthogonal cutting model

Jae-Sung Moon (School of Natural Science, Ulsan National Institute of Science and Technology, Korea) paper
Bifurcations and chaos in passive walking of a compass-gait biped with asymmetries

Kaitlin Hill (Technological Institute, Northwestern University, USA) paper
Analysis of an Arctic sea ice loss model in the limit of a discontinuous albedo

Esther Widiasih (Department of Mathematics, University of Hawaii, USA) paper
Periodic Orbits for a Discontinuous Vector Field Arising from a Conceptual Model of Glacial Cycles

Carolina Biolo (SISSA - Scuola Internazionale Superiore di Studi Avanzati, Italy) paper
Switching in time-optimal problem. The 3-D case with 2-D control

Robert Gregg (Department of Bioengineering, University of Texas at Dallas, USA) not June 8 afternoon paper
Control and Planning of 3-D Dynamic Walking With Asymptotically Stable Gait Primitives

Dmitry Rachinskiy (Department of Mathematical Sciences, University of Texas at Dallas, USA) June 6-8
On a relationship between the Moreau sweeping process and the Prandtl-Ishlinskii operator

Nikita Begun (Free University Berlin, Germany) paper
Dynamics of Discrete Time Systems with the Hysteresis Stop Operator

Maxim Arnold (Department of Mathematical Sciences, University of Texas at Dallas, USA) paper
Pinball Dynamics: Unlimited Energy Growth in Switching Hamiltonian Systems

Hamid Reza Fahham (Department of Mechanical Engineering, Marvasht Islamic Azad University, Iran) letter paper
Minimum time trajectory planning and optimal time path planning for cable suspended robots

Xiaopeng Zhao (Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, USA) June 6-9 paper paper
Discontinuity mapping for vibro-impact dynamics

Harry Dankowicz (Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, USA) paper paper paper
Friction-induced reverse chatter in rigid-body mechanisms with impacts

Alexander Sadovsky (Division of Aviation Systems, NASA Ames Research Center, USA) June 7 or later paper
Switching systems and motion coordination: combinatorial challenges

David Simpson (Institute of Fundamental Sciences, Massey University, New Zealand) paper
Fast phase randomization via two-folds

Sue Ann Campbell (Centre for Theoretical Neuroscience, University of Waterloo, Canada) June 7-9 paper paper
Stability of a class of linear switching systems with time delay

Dinesh Ekanayake (Department of Mathematics, Western Illinois University, USA) paper
Proportional Derivative Control of Hysteretic Systems

Tassilo Kuepper (Institute of Mathematics, University of Cologne, Germany) June 7-10 paper
Bifurcation for Non-smooth Dynamical Systems via Reduction Methods

Francisco Torres (Department of Applide Mathematics II, University of Seville, Spain) paper
Resonance regions in area preserving homogeneous piecewise linear maps

Javier Ros (Department of Applide Mathematics II, University of Seville, Spain) paper
On the Hopf-zero bifurcation in symmetric continuous piecewise-linear differential systems

Zalman Balanov (Department of Mathematical Sciences, University of Texas at Dallas, USA) paper
Sliding Hopf bifurcation in interval systems

Edward Hooton (Department of Mathematical Sciences, University of Texas at Dallas, USA) paper paper
Stabilizing periodic solutions in symmetrically coupled oscillator systems via linear and delayed feedback control

Nicholas Gans (Department of Electrical Engineering, University of Texas at Dallas, USA) paper paper
Common lyapnunov function to establish stability in robot control

Oleg Makarenkov (Department of Mathematical Sciences, University of Texas at Dallas, USA) paper
Bifurcation of limit cycles from a fold-fold singularity in planar switched systems

Kristian Kristiansen (Department of Applied Mathematics and Computer Science, Technical University of Denmark) paper
Regularization and blowup of piecewise smooth systems


Invited short talks:

Yu Hua (Department of Mathematics, Texas Tech University) paper
On the solution of operator equation problems with application to Preisach density estimation

Pavel Kravetc (Department of Mathematical Sciences, University of Texas at Dallas, USA) talk
Traveling waves in a chain of excitable switches

Ivan Gudoshnikov (Department of Mathematical Sciences, University of Texas at Dallas, USA) paper
Existence, uniqueness, and computation of the response of an array of elastoplastic springs to perturbations: a complementarity approach

Paul Fishwick (Department of Arts Technology, University of Texas at Dallas)
Switch Dynamics. Seeing switching everywhere


Poster presentations:

Anthony Phung (Department of Mathematical Sciences, University of Texas at Dallas) poster
Attractors of switched systems with multiple equilibria

Eyram Kwame (Department of Mathematical Sciences, University of Texas at Dallas, USA) poster
Dynamics of macro-economic model with hysteresis operators

Lakmi Niwanthi (Department of Mathematical Sciences, University of Texas at Dallas, USA) poster
Global stability of almost periodic solutions in perturbed Moreau sweeping processes

Elvira Kadaub (Department of Mathematical Sciences, University of Texas at Dallas, USA) poster
Modelling of barnacle species competition on the shore of Ireland

David Simpson (Institute of Fundamental Sciences, Massey University, New Zealand) paper, paper
Infinitely many coexisting attractors in the border-collision normal form

Enrique Ponce (Department of Applide Mathematics II, University of Seville, Spain)
Periodic orbits in PWL hysteretic systems with real eigenvalues

Petri Piiroinen (School of Mathematics, Statistics & Applied Mathematics, National University of Ireland)
Simulation and stability analysis of impacting systems with complete chattering

Keszthelyi Gabriella (Department of Analysis, Eötvös Lorand University, Hungary)
Topological entropy of biparametric skew tent maps


Non-presenting participants:

Pierre-Henri Cocquet (Laboratory of Physics and Mathematical Engineering for Energy and the Environment, Université de La Réunion, France)
Edgar Bolivar (Department of Mechanical Engineering, University of Texas at Dallas, USA)
Emilio Martinez (Department of Mathematical Sciences, University of Texas at Dallas, USA)
Samreen Khan (Department of Mathematical Sciences, University of Texas at Dallas, USA)
Artur Safin (Department of Mathematical Sciences, University of Texas at Dallas, USA)
David Quintero (Department of Mechanical Engineering, University of Texas at Dallas, USA)
Charles Chika (Department of Mathematical Sciences, University of Texas at Dallas, USA)
Nilgun Yakay (Department of Mathematical Sciences, University of Texas at Dallas, USA)
Amy Ekanayake (Department of Mathematics, Western Illinois University, USA)
Abdoulaye Thiam (Department of Mathematical Sciences, University of Texas at Dallas, USA)
Kyle Embry (Department of Mechanical Engineering, University of Texas at Dallas, USA)
Saurav Kumar (Department of Electrical Engineering, University of Texas at Dallas, USA)
Emily Herzig (Department of Mathematical Sciences, University of Texas at Dallas, USA)
Yifei Lou (Department of Mathematical Sciences, University of Texas at Dallas, USA)
Miao Li (University of Texas of the Permian Basin, USA)
Jiexin Dai (Department of Mathematics and Statistics, Texas Tech University, USA)
Aykut Satici (Electrical Engineering and Computer Science department, Massachusetts Institute of Technology, USA)
Hasan Poonawala (Institute for Computational Engineering and Sciences, University of Texas at Austin, USA)
Cesar Contreras (Department of Mathematical Sciences, University of Texas at Dallas, USA)
Fariba Khoshnasib (Department of Mathematical Sciences, University of Texas at Dallas, USA)
Vladimir Dragovic (Department of Mathematical Sciences, University of Texas at Dallas, USA)

Lectures and hands-on workshop on
Parameter Continuation of Multipoint Boundary Value Problems in COCO

by Harry Dankowicz (Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, USA)

Subtitle: Applications to Bifurcation Analysis of Periodic Trajectories in Piecewise Smooth Dynamical Systems

Abstract. The Computational Continuation Core (COCO) is a Matlab-based open-source platform for analysis of implicitly-defined multidimensional embedded manifolds. Example COCO toolboxes implement techniques for bifurcation analysis of equilibrium points and periodic orbits in smooth and hybrid dynamical systems. These account for adaptive trajectory discretization, and support detection and continuation of smooth co-dimension-one bifurcations, as well as grazing and border-collision bifurcations. This series of COCO lectures provided a thorough introduction to the COCO paradigm of problem construction and parameter continuation. The facilitated hands-on workshop allowed participants to explore extensive tutorial documentation and coded demos, with opportunities to apply COCO to their own computational models.

Organizers:

Oleg Makarenkov (University of Texas at Dallas) - main organizer
Dmitry Rachinskiy (University of Texas at Dallas) - organizer of Hysteresis section
Lakmi Niwanthi (University of Texas at Dallas) - local organizer

Important dates:

Registration deadline May 20, 2016

Registration:

Send a message to Oleg Makarenkov at [email protected] to register for the event. Attendance in the workshop is free of charge for all the participants who deliver a talk or present a poster.

Venue, Travel and Accommodation:

The workshop/school took place on the campus of the University of Texas at Dallas, please see the program for details. Participants receive the UTD rate for reservations at the Wingate by Wyndham; Call the Wingate by Wyndham Hotel at 972.234.5400 and request the UTD rate. There was bus shuttles to and from the conference from this hotel. Here is a Google-generated advise on getting from DFW airport to Wingate by Wyndham Hotel, if you don't use taxi. Here is a list of other hotel accommodations (Hyatt House and Hawthorn Suites by Wyndham used to offer free dinners on buisiness days on top of free local transportation, but please double check). Outdoor swimming pools are available in most of the hotels.

Local information