A Port-Hamiltonian Formulation of a Wireless Communication System.- Dirac Structures and Control by Interconnection for Distributed Port-Hamiltonian Systems.- Energy Aware Robotics -- Time-Varying Phasors and Their Application to Power Analysis.- Handling Biological Complexity Using Kron Reduction.- Distributed Line Search for Multi-Agent Convex Optimization.- Optimal Management with Hybrid Dynamics - The Shallow Lake Problem.- Modeling Perspectives of Hybrid Systems and Network Systems.- Control of HVDC Transmission Systems: From Theory to Practice and Back.- A Complement on Elimination and Realization in Rational Representations.- Modeling and Analysis of Energy Distribution Networks Using Switched Differential Systems.- Nonlinear Controller Design Based on Invariant Manifold Theory -- On Geometric Properties of Triangularizations for Non-Linear Control Systems.- On-Line Frequency Estimation of Periodic Signals.- Power Based Methods for Infinite-Dimensional Systems.- On Stabilization of Mixed Dimensional Parameter Port Hamiltonian Systems via Energy Shaping -- Network Topology and Synchronization of Systems with Linear Time-Delayed Coupling -- Examples on Stability for Infinite-Dimensional Systems.- Model Reduction by Generalized Differential Balancing -- Trajectory-Based Theory for Hybrid Systems -- Controllability and Stabilizability of Discontinuous Bimodal Piecewise Linear 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.