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This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising research field with several application areas. As such, the book explores recent developments in the area of deterministic and stochastic hybrid systems using the Lyapunov and Razumikhin–Lyapunov methods to investigate the systems’ properties. It also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability (ISS)/stabilization, state estimation, and large-scale singularly perturbed systems.

Hybrid systems. --- Dynamic systems, Hybrid --- Hybrid dynamic systems --- System theory --- Systems theory. --- Mathematical physics. --- Statistical physics. --- Control and Systems Theory. --- Systems Theory, Control. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Mathematical Methods in Physics. --- Statistical Physics and Dynamical Systems. --- Mathematical Physics. --- Physics --- Mathematical statistics --- Physical mathematics --- Statistical methods --- Mathematics --- Control engineering. --- System theory. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Systems, Theory of --- Systems science --- Science --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy