Theory of Hybrid Systems: Deterministic and Stochastic

• Main Authors: Alwan, Mohamad S. (Author, http://id.loc.gov/vocabulary/relators/aut), Liu, Xinzhi (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Nonlinear Physical Science,
• Subjects: Control engineering.; System theory.; Statistical physics.; Physics.; Mathematical 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.

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 pro...

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.