Stability of Time-Delay Systems

This monograph is a self-contained, coherent presentation of the background and progress of the stability of time-delay systems. Focusing on techniques, tools, and advances in numerical methods and optimization algorithms, the authors developed material which, up until now, has been scattered in technical journals and conference proceedings. Special emphasis is placed on systems with uncertainty and stability criteria which can be computationally implemented.

The second edition is major update to reflect the state of art in this field greatly expanding on the original material in addition to two new chapters on Systems of Neutral Type and an Introduction to Frequency Domain Method.

 Requiring only basic knowledge of linear systems and Lyapunov stability theory, Stability of Time-Delay Systems, 2^nd ed is accessible to a broad audience of researchers, professional engineers, and graduate students. It may be used for self-study or as a reference; portions of the text may be used in advanced graduate courses and seminars.

• algorithm
• algorithms
• calculus
• chemical engineering
• control engineering
• differential equation
• game theory
• mathematics
• numerical methods
• optimization
• stability
• systems theory
• time delay systems

"The last 10-15 years have witnessed a renewed interest in time-delay control systems because of new problems, new models, and new techniques. This book has many useful features that complement the prior literature.... The reader can find useful information about software implementation and computational complexity.... The authors are experts in the field, and they relate their own experience. The book can be useful to engineers, applied mathematicians, and graduate students."

—IEEE Control Systems Magazine

"This book is written by famous scientists in the area of time-delay systems. It presents a systematic treatment of the theory of such systems and their stability. It is devoted to the study of the stability of time-delay systems, an area long pursued by mathematicians, physical and life scientists, engineers, and economists.... The book is well written and contains a number of examples."

—Zentralblatt Math

• Department of Mechanical and Industrial Engineering, Southern Illinois University at Edwardsville, Edwardsville, USA

  Keqin Gu

• Department of Automatic Control, CINVESTAV-IPN, Mexico, D.F., Mexico

  Vladimir L. Kharitonov

• Department of Electrical Engineering, University of California at Riverside, Riverside, USA

  Jie Chen

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