Two-Dimensional Time-Delay Systems

This book focuses on essential aspects of the systems and control theory of two-dimensional (2D) time-delay systems. The content of this book is subject to the state-of-the-art research in the field, including the stability and performance analysis, stabilization, and control design of various time-delay systems. Primarily based on most recent research, this book presents the above areas using analysis schemes first developed by the author for various classes of 2D time-delay systems. The effectiveness of the proposed methods and their advancements are theoretically and numerically illustrated by various examples. With an overview of the latest advances and pioneering methods for studying 2D time-delay systems, the book is very useful to postgraduate students and academic researchers to look insights in the systems and control theory of 2D time-delay systems. It is also of significant interest to practitioners engaged in automatic control engineering and applied mathematics.

1. Introduction and Preview. - 2. Stability and Stabilization of Two Dimensional Systems with State Delays. - 3. Asymptotic Estimation of Reachable Set for Two-Dimensional Time-Delay Systems. - 4. Stability Analysis and Observer Design for Two-Dimensional Positive Time-Delay Systems. - 5. Performance Analysis and lll111-Gain Control of Two-Dimensional Positive Systems with Delays. - 6. Peak-to-Peak Performance Analysis of Two-Dimensional Positive Time-Delay Systems. - 7. Stability of Two-Dimensional Time-Delay Roesser Systems with Markovian Switchings. - 8. Analysis and Control of Two-Dimensional Roesser Systems with Stochastic Noises. - 9. Stability and Stabilization of Two-Dimensional Fuzzy Systems with Time-Varying Delays. - 10. Stability and Stabilization via Event-Triggered Control of Two-Dimensional Singular Systems with Delays. - 11. Finite-Region Stability and Dissipativity of Two-Dimensional Singular Systems with Delays.