Theory of Hybrid Systems: Deterministic and Stochastic

✍ Scribed by ALWAN, MOHAMAD S.

• Publisher: SPRINGER
• Year: 2018
• Tongue: English
• Leaves: 252
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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