Mathematical Control Theory II: Behavioral Systems and Robust Control

✍ Scribed by Madhu N. Belur, M. Kanat Camlibel, Paolo Rapisarda, Jacquelien M.A. Scherpen (eds.)

• Publisher: Springer International Publishing
• Year: 2015
• Tongue: English
• Leaves: 259
• Series: Lecture Notes in Control and Information Sciences 462
• Edition: 1
• Category: Library

✦ Synopsis

This treatment of modern topics related to mathematical systems theory forms the proceedings of a workshop, Mathematical Systems Theory: From Behaviors to Nonlinear Control, held at the University of Groningen in July 2015. The workshop celebrated the work of Professors Arjan van der Schaft and Harry Trentelman, honouring their 60th Birthdays.

The second volume of this two-volume work covers a variety of topics related to behavioral systems and robust control. After giving a detailed account of the state-of the art in the related topic, each chapter presents new results and discusses new directions. As such, this volume provides a broad picture of the theory of behavioral systems and robust control for scientists and engineers with an interest in the interdisciplinary field of systems and control theory. The reader will benefit from the expert participants’ ideas on exciting new approaches to control and system theory and their predictions of future directions for the subject that were discussed at the workshop.

✦ Table of Contents

Front Matter....Pages i-xii
Open Loop Control of Higher Order Systems....Pages 1-22
Bilinear Differential Forms and the Loewner Framework for Rational Interpolation....Pages 23-43
Noninteraction and Triangular Decoupling Using Geometric Control Theory and Transfer Matrices....Pages 45-64
Simultaneous Stabilization Problem in a Behavioral Framework....Pages 65-80
New Properties of ARE Solutions for Strictly Dissipative and Lossless Systems....Pages 81-99
Stochastic Almost Output Synchronization for Time-Varying Networks of Nonidentical and Non-introspective Agents Under External Stochastic Disturbances and Disturbances with Known Frequencies....Pages 101-127
A Characterization of Solutions of the ARE and ARI....Pages 129-149
Implementation of Behavioral Systems....Pages 151-168
Synchronization of Linear Multi-Agent Systems with Input Nonlinearities via Dynamic Protocols....Pages 169-181
Strong Structural Controllability of Networks....Pages 183-197
Physical Network Systems and Model Reduction....Pages 199-219
Interconnections of ({\mathscr {L}}^2) -Behaviors: Lumped Systems....Pages 221-229
On State Observers—Take 2....Pages 231-242
When Is a Linear Complementarity System Disturbance Decoupled?....Pages 243-255

✦ Subjects

Control; Systems Theory, Control