Theory of Hybrid Systems: Deterministic and Stochastic
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Beschreibung
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.
Is the first book to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments)
Covers topics including switched, impulsive, and impulsive-switched systems with/without time delay and with/without random noise in one volume
Focuses on establishing the important system properties using the elegant Lyapunov or Lyapunov–Razumikhin methods for time-delayed systems
Includes results combing reliable control, H-infinity control, and ISS (input-to-state stability)
Presents rigorous mathematical proofs enhanced with numerous illustrative, worked-out examples and simulations
Is the first book to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments) Covers topics including switched, impulsive, and impulsive-switched systems with/without time delay and with/without random noise in one volume Focuses on establishing the important system properties using the elegant Lyapunov or Lyapunov–Razumikhin methods for time-delayed systems Includes results combing reliable control, H-infinity control, and ISS (input-to-state stability) Presents rigorous mathematical proofs enhanced with numerous illustrative, worked-out examples and simulations
Autor*in
Mohamad S. Alwan
Themen in »Theory of Hybrid Systems: Deterministic and Stochastic«
Hybrid Systems Time Delay Random Process Qualitative Properties Laypunov/Razumikhin Methods