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25 Remote Warehouse Mathematics- Differential Equations

Other titles in the Mathematical Modelling: Theory and Applications series:

Mathematical Modelling: Theory and Applications #25: Absolute Stability of Nonlinear Control Systems

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Mathematical Modelling: Theory and Applications #25: Absolute Stability of Nonlinear Control Systems Cover

 

Synopses & Reviews

Publisher Comments:

Following the recent developments in the field of absolute stability, Professor Xiaoxin Liao, in conjunction with Professor Pei Yu, has created a second edition of his seminal work on the subject. Liao begins with an introduction to the Lurie problem and the Lurie control system, before moving on to the simple algebraic sufficient conditions for the absolute stability of autonomous and non-autonomous ODE systems, as well as several special classes of Lurie-type systems. The focus of the book then shifts toward the new results and research that have appeared in the decade since the first edition was published. This includes nonlinear control systems with multiple controls, interval control systems, time-delay and neutral Lurie control systems, systems described by functional differential equations, the absolute stability for neural networks, as well as applications to chaos control and chaos synchronization. This book is aimed at undergraduates and lecturers in the areas of applied mathematics, nonlinear control systems and chaos control and synchronisation, but may also be useful as a reference work for researchers and engineers. The book is self-contained, though a basic knowledge of calculus, linear system and matrix theory, and ordinary differential equations is required to gain a complete understanding of the workings and methodologies discussed within.

Synopsis:

Following the recent developments in the field of absolute stability, this seminal work on the subject has been updated. It covers the new results and research that have appeared in the decade since the first edition was published.

Table of Contents

1. Introduction.- 2.Principal Theorems on Global Stability.- 3. Sufficient Conditions of Absolute Stability - Classical Methods.- 4. Necessary, and Sufficient Conditions for Absolute Stability.- 5. Special Lurie-Type Control Systems.- 6. Non-Autonomous Systems.- 7. Systems with Multiple Nonlinear Feedback Controls.- 8. Robust Absolute Stability of Interval Control Systems.- 9. Discrete Control Systems.- 10. Time-Delayed and Neutral Lurie Control Systems.- 11. Control Systems Described by Functional Differential Equations.- 12. Absolute Stability of Hopfield Neural Network.- 13. Application to Chaos Control and Chaos Synchronization.- References.- Index.

Product Details

ISBN:
9789048178926
Author:
Liao, Xiaoxin
Publisher:
Springer
Author:
Yu, Pei
Subject:
Differential Equations
Subject:
Control
Subject:
Non-linear
Subject:
ordinary differential equations
Subject:
Systems Theory, Control
Subject:
Vibration, Dynamical Systems, Control
Subject:
Applications of Mathematics <P>This book will answer the question; “what is sufficient and necessary condition for the absolute stability of the Lurie problem?” This is a question that has not been solved in 60 years. </P> <P>The new ideas and methodo
Subject:
Mathematics-Differential Equations
Subject:
APPLICATIONS OF MATHEMATICS
Copyright:
Edition Description:
Softcover reprint of hardcover 2nd ed. 2008
Series:
Mathematical Modelling: Theory and Applications
Series Volume:
25
Publication Date:
20101123
Binding:
TRADE PAPER
Language:
English
Pages:
396
Dimensions:
235 x 155 mm 596 gr

Related Subjects

Engineering » Mechanical Engineering » General
Humanities » Philosophy » General
Science and Mathematics » Electricity » General Electronics
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Differential Equations

Mathematical Modelling: Theory and Applications #25: Absolute Stability of Nonlinear Control Systems New Trade Paper
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Product details 396 pages Not Avail - English 9789048178926 Reviews:
"Synopsis" by , Following the recent developments in the field of absolute stability, this seminal work on the subject has been updated. It covers the new results and research that have appeared in the decade since the first edition was published.
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