ENGLISH

Theory of Hybrid Systems: Deterministic and Stochastic

By ALWAN , MOHAMAD S.

Book information

Publisher
Springer
Year
2018
ISBN
9789811080456, 9811080453
Language
english
Format
PDF
Filesize
5 MB (4862877 bytes)
Pages
0\252
Time added
2018-10-10 17:08:36

Description

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. Front Matter ....Pages i-xvi Motivating Examples (Mohamad S. Alwan, Xinzhi Liu)....Pages 1-4 Mathematical Background (Mohamad S. Alwan, Xinzhi Liu)....Pages 5-58 Fundamental Properties of Stochastic Impulsive Systems with Time Delay (Mohamad S. Alwan, Xinzhi Liu)....Pages 59-75 Stability of Stochastic Impulsive Systems with Time Delay (Mohamad S. Alwan, Xinzhi Liu)....Pages 77-95 Large-Scale Stochastic Impulsive Systems with Time Delay (Mohamad S. Alwan, Xinzhi Liu)....Pages 97-116 Input-to-State Stability for Stochastic Switched Systems (Mohamad S. Alwan, Xinzhi Liu)....Pages 117-134 Reliable Control for Stochastic Switched Systems with State Delay (Mohamad S. Alwan, Xinzhi Liu)....Pages 135-143 Robust Reliable Control for Impulsive Large-Scale Systems (Mohamad S. Alwan, Xinzhi Liu)....Pages 145-163 Switched Singularly Perturbed Systems with Time Delay (Mohamad S. Alwan, Xinzhi Liu)....Pages 165-176 Singularly Perturbed Impulsive-Switched Systems with Time Delay (Mohamad S. Alwan, Xinzhi Liu)....Pages 177-190 Stabilization and State Estimation via Sliding Mode Control (Mohamad S. Alwan, Xinzhi Liu)....Pages 191-206 Comparison Method and Stability of EPCA (Mohamad S. Alwan, Xinzhi Liu)....Pages 207-227 Existence, Uniqueness and Stability of Stochastic EPCA (Mohamad S. Alwan, Xinzhi Liu)....Pages 229-241

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