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Sunday, May 3, 2020 | History

6 edition of Absolute stability of nonlinear control systems found in the catalog.

Absolute stability of nonlinear control systems

by Xiao-xin Liao

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Published by Springer Science in [New York] .
Written in English

    Subjects:
  • Nonlinear control theory,
  • Stability

  • Edition Notes

    Includes bibliographical references and index.

    StatementX. Liao and P. Yu.
    SeriesMathematical modelling, theory and applications ; v. 25
    ContributionsYu, Pei.
    Classifications
    LC ClassificationsQA402.35 .L53 2008
    The Physical Object
    Paginationxii, 384 p. :
    Number of Pages384
    ID Numbers
    Open LibraryOL22656205M
    ISBN 109781402084812
    LC Control Number2008927852

    Nonlinear systems Khalil - Prentice-Hall, Probably the best book to start with nonlinear control Nonlinear systems S. Sastry - Springer Verlag, Good general book, a bit harder than Khalil’s Mathematical Control Theory - E.D. Sontag - Springer, . Nonlinear control theory is the area of control theory which deals with systems that are nonlinear, time-variant, or l theory is an interdisciplinary branch of engineering and mathematics that is concerned with the behavior of dynamical systems with inputs, and how to modify the output by changes in the input using feedback, feedforward, or signal filtering.

    5. Exponential Stability Theorems 6. Specialization to Linear Systems 7. Stabilization of nonlinear systems 8. Circle criterion, absolute stability, Popov criterion Linearization by State Feedback Chapter 9 and 10 of textbook 1. SISO systems: Input Output Linearization 2. SISO systems: Full State Linearization 3. Zero Dynamics 4. Inversion File Size: 33KB. main concerns in nonlinear dynamics and control systems: the stability of a system with respect to its equilibria, the orbital stability of a system output trajectory, and the structural stability of a system itself. The basic concept of stability emerged from the study of an equilibrium state of a mechanical system.

    This "book contains the results of certain investigations of stability * and of the degree of stability of several nonlinear control systems with one or two regulators.. The problems considered here concern what is called absolute stability, i.e., stability under unbounded perturbations, with regulators of arbitrary nonlinear characteristics. Absolute Stability of Nonlinear Control Systems 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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Absolute stability of nonlinear control systems by Xiao-xin Liao Download PDF EPUB FB2

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 cturer: Springer.

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 Cited by: The stability analysis of nonlinear control systems based on Liapunov stability theory can be traced back to the Russian school of stability.

Inthe Russian mathematician Lurie, a specialist in control theory, discussed the stability of an : Springer Netherlands.

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.

As is well-known, a control system always works under a variety of accidental or continued disturbances. Therefore, in designing and analysing the control system, stability. 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.

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 Format: Pasta blanda. 8 Robust Absolute Stability of Interval Control Systems Interval Lurie Control Systems Sufficient and Necessary Conditions for Robust Absolute Stability.

Sufficient Conditions for Robust Absolute Stability Algebraic Sufficient and Necessary Conditions Interval Yocubovich Control Systems If a matrix has the order k and its eigenvalues have negative 2. ABSOLUTE STABILITY OF NONLINEAR CONTROL SYSTEMS real parts, the product of these eigenvalues is positive when k is even and negative when k is odd (the matrices are assumed real; hence the complex roots occur in pairs and their product is positive).

Absolute Stability of Nonlinear Control Systems Mathematical Modelling: Theory and Applications: : Liao, Xiaoxin, Yu, Pei: Libros en idiomas extranjerosAuthor: Xiaoxin Liao.

Absolute stability of nonlinear control systems by Xiao-xin Liao,Springer Science edition, in English - 2nd by: Absolute stability of general and uniform MIMO systems. Absolute stability of normal MIMO systems. Off‐axis circle and parabolic criteria of the absolute stability of MIMO systems.

Multidimensional circle criteria of absolute stability. Multidimensional circle criteria of the absolute stability of forced motions. Stability of Nonlinear Systems.

tion, with regard to both dynamics and control. Stability of. absolute value, then the system is asymptotically stable. The book begins with an introduction to Lurie control systems, and algebraic sufficient conditions for the absolute stability of several classes of Lurie-type systems are developed.

Recent developments are then presented, including results for systems with multiple controls, interval systems, time-delay and neutral Lurie control systems, neural. There has been a great deal of excitement in the last ten years over the emer­ gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos, and other complicated dynamical behavior and the develop­ ment of a comprehensive theory of geometric nonlinear control.

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.

Presents an overview of some developments on the absolute stability of nonlinear control systems. This book concludes with a useful bibliography. It is useful for applied mathematicians, and Read more. Buy Absolute Stability of Nonlinear Control Systems Books online at best prices in India by Pei Yu,Xiaoxin Liao from Buy Absolute Stability of Nonlinear Control Systems online of India’s Largest Online Book Store, Only Genuine Products.

Lowest price and Replacement Guarantee. Cash On Delivery Available. This book is aimed to be used by undergraduates in the areas of applied mathematics, nonlinear control systems, and chaos control and synchronisation, but may also be.

Read or Download Absolute Stability of Nonlinear Control Systems, 2nd Edition (Mathematical Modelling: Theory and Applications) PDF Best applied mathematicsematics books Get The Dod C Versus the Boeing A Comparison of PDF/5(12). Nonlinear Systems and Control Lecture # 17 Circle & Popov Criteria – p.

1/ Absolute Stability The system is absolutely stable if G(s) is Hurwitz and the Nyquist plot of G(jω) lies in the interior of the disk D(α,β) – p. 11/ Example. Absolute stability of general and uniform MIMO systems. Absolute stability of normal MIMO systems.

Off‐axis circle and parabolic criteria of the absolute stability of MIMO systems. Multidimensional circle criteria of absolute stability. Multidimensional circle criteria of the absolute stability of forced motions.This is a good book devoted to nonlinear ed to Vidyasagar's book, this book has more mathematical rigour, therefore, to follow it you should have a good Calculus/Linear Algebra Nonlinear Systems: Analysis, Stability, and Control (Interdisciplinary Applied Mathematics)File Size: KB.