Functional Analysis Approach to the Stability of Nonlinear Systems by John Sarkis Krikorian PDF Download
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Author: John Sarkis Krikorian
Publisher:
ISBN:
Category : Nonlinear systems
Languages : en
Pages : 140
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Book Description
Author: John Sarkis Krikorian
Publisher:
ISBN:
Category : Nonlinear systems
Languages : en
Pages : 140
Get Book Here
Book Description
Author: John Sarkis Krikorian
Publisher:
ISBN:
Category :
Languages : en
Pages : 112
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Book Description
Author: Vangipuram Lakshmikantham
Publisher: Birkhäuser
ISBN: 3319272004
Category : Mathematics
Languages : en
Pages : 339
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Book Description
The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners. Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.
Author: Theodore A. Bickart
Publisher:
ISBN:
Category :
Languages : en
Pages : 78
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Book Description
The mathematical techniques of functional analysis are used to determine the stability of complex nonlinear control systems. It is shown that the use of these mathematical techniques provides a convenient and unified approach to the problem of determining the stability of these control systems. Graphical techniques are developed in the complex frequency plane as an aid in determining the stability of class of non linear control systems. The report constitutes a survey and a unified approach to the work that has been accomplished by other researchers in this field. In some instances, additions have been added to the existing theory.
Author: Iasson Karafyllis
Publisher: Springer Science & Business Media
ISBN: 0857295136
Category : Technology & Engineering
Languages : en
Pages : 401
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Book Description
Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of their stability and feedback stabilization which enables the reader to learn and understand major techniques used in mathematical control theory. In particular: the important techniques of proving global stability properties are presented closely linked with corresponding methods of nonlinear feedback stabilization; a general framework of methods for proving stability is given, thus allowing the study of a wide class of nonlinear systems, including finite-dimensional systems described by ordinary differential equations, discrete-time systems, systems with delays and sampled-data systems; approaches to the proof of classical global stability properties are extended to non-classical global stability properties such as non-uniform-in-time stability and input-to-output stability; and new tools for stability analysis and control design of a wide class of nonlinear systems are introduced. The presentational emphasis of Stability and Stabilization of Nonlinear Systems is theoretical but the theory’s importance for concrete control problems is highlighted with a chapter specifically dedicated to applications and with numerous illustrative examples. Researchers working on nonlinear control theory will find this monograph of interest while graduate students of systems and control can also gain much insight and assistance from the methods and proofs detailed in this book.
Author: Shankar Sastry
Publisher: Springer Science & Business Media
ISBN: 1475731086
Category : Mathematics
Languages : en
Pages : 690
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Book Description
There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact of analytic advances and produced many new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.
Author: Jack M. Holtzman
Publisher: Prentice Hall
ISBN:
Category : Mathematics
Languages : en
Pages : 232
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Book Description
Author: Seyed Kamaleddin Yadavar Nikravesh
Publisher: CRC Press
ISBN: 1466569298
Category : Science
Languages : en
Pages : 319
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Book Description
The equations used to describe dynamic properties of physical systems are often nonlinear, and it is rarely possible to find their solutions. Although numerical solutions are impractical and graphical techniques are not useful for many types of systems, there are different theorems and methods that are useful regarding qualitative properties of nonlinear systems and their solutions—system stability being the most crucial property. Without stability, a system will not have value. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach introduces advanced tools for stability analysis of nonlinear systems. It presents the most recent progress in stability analysis and provides a complete review of the dynamic systems stability analysis methods using Lyapunov approaches. The author discusses standard stability techniques, highlighting their shortcomings, and also describes recent developments in stability analysis that can improve applicability of the standard methods. The text covers mostly new topics such as stability of homogonous nonlinear systems and higher order Lyapunov functions derivatives for stability analysis. It also addresses special classes of nonlinear systems including time-delayed and fuzzy systems. Presenting new methods, this book provides a nearly complete set of methods for constructing Lyapunov functions in both autonomous and nonautonomous systems, touching on new topics that open up novel research possibilities. Gathering a body of research into one volume, this text offers information to help engineers design stable systems using practice-oriented methods and can be used for graduate courses in a range of engineering disciplines.
Author: M. Vidyasagar
Publisher: SIAM
ISBN: 0898715261
Category : Mathematics
Languages : en
Pages : 511
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Book Description
This text provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations.
Author: Radu Precup
Publisher: MDPI
ISBN: 3036502408
Category : Mathematics
Languages : en
Pages : 146
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Book Description
This book consists of nine papers covering a number of basic ideas, concepts, and methods of nonlinear analysis, as well as some current research problems. Thus, the reader is introduced to the fascinating theory around Brouwer's fixed point theorem, to Granas' theory of topological transversality, and to some advanced techniques of critical point theory and fixed point theory. Other topics include discontinuous differential equations, new results of metric fixed point theory, robust tracker design problems for various classes of nonlinear systems, and periodic solutions in computer virus propagation models.
