Theory Of Hybrid Systems: Deterministic And Stochastic by Mohamad S. AlwanTheory Of Hybrid Systems: Deterministic And Stochastic by Mohamad S. Alwan

Theory Of Hybrid Systems: Deterministic And Stochastic

byMohamad S. Alwan, Liu, Xinzhi

Hardcover | October 12, 2018

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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.

Dr. Mohamad S. Alwan is a lecturer at the Department of Applied Mathematics at the University of Waterloo. Since 2004, his research interests have been directed towards broadening the research area of "Stochastic and Deterministic Hybrid Systems with/without Time Delay and Applications to Control Systems". Specifically, he has been wor...
Title:Theory Of Hybrid Systems: Deterministic And StochasticFormat:HardcoverDimensions:241 pages, 9.41 × 7.24 × 0.98 inPublished:October 12, 2018Publisher:Springer NatureLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9811080453

ISBN - 13:9789811080456


Table of Contents

Introduction.- Analysis of Hybrid Systems.- Singularly Perturbed Systems (SPSs).- Systems of Dierential Equations with Piecewise Continuous Arguments (EPCA): A Hybrid System Approach.- Reliable Control and State Estimation for Uncertain Impulsive Large-Scale Systems.- Stochastic Hybrid (Impulsive) Systems.- Stochastic Systems with EPCA.- Input-to-State Stability (ISS) for Stochastic Hybrid Systems.- Stability in Terms of Two Measures.