Mathematical control theory [proceedings of a Workshop, Mathematical Systems Theory: From Behaviors to Nonlinear Control, held at the University of Groningen in July 2015] 1 Nonlinear and hybrid control systems

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 first volume of this two-volume work covers a variety of topics related to nonlinear and hybrid control systems. 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 nonlinear and hybrid control systems 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. Front Matter....Pages i-xiii A Port-Hamiltonian Formulation of a Wireless Communication System....Pages 1-19 Dirac Structures and Control by Interconnection for Distributed Port-Hamiltonian Systems....Pages 21-36 Energy-Aware Robotics....Pages 37-50 Time-Varying Phasors and Their Application to Power Analysis....Pages 51-72 Handling Biological Complexity Using Kron Reduction....Pages 73-93 Distributed Line Search for Multiagent Convex Optimization....Pages 95-110 Optimal Management with Hybrid Dynamics—The Shallow Lake Problem....Pages 111-136 Modeling Perspectives of Hybrid Systems and Network Systems....Pages 137-152 Control of HVDC Transmission Systems: From Theory to Practice and Back....Pages 153-177 A Complement on Elimination and Realization in Rational Representations....Pages 179-198 Modeling and Analysis of Energy Distribution Networks Using Switched Differential Systems....Pages 199-219 Nonlinear Controller Design Based on Invariant Manifold Theory....Pages 221-235 On Geometric Properties of Triangularizations for Nonlinear Control Systems....Pages 237-255 Online Frequency Estimation of Periodic Signals....Pages 257-276 Power-Based Methods for Infinite-Dimensional Systems....Pages 277-301 On Stabilization of Mixed Dimensional Parameter Port Hamiltonian Systems Via Energy Shaping....Pages 303-320 Network Topology and Synchronization of Systems with Linear Time-Delayed Coupling....Pages 321-341 Examples on Stability for Infinite-Dimensional Systems....Pages 343-348 Model Reduction by Generalized Differential Balancing....Pages 349-362 Trajectory-Based Theory for Hybrid Systems....Pages 363-384 Controllability and Stabilizability of Discontinuous Bimodal Piecewise Linear Systems....Pages 385-402 I. Nonlinear And Hybrid Control Systems -- Ii. Behavioral Systems And Robust Control. M. Kanat Camlibel [and 3 Others], Editors. Festschrift. International Conference Proceedings. Includes Bibliographical References.