Qualitative analysis of large scale dynamical systems.

By: Miller, Richard KContributor(s): MichelMaterial type: TextTextSeries: eBooks on DemandMathematics in Science and Engineering: Publisher: Oxford : Elsevier Science, 2014Description: 1 online resource (307 p.)ISBN: 9780080956435Subject(s): System analysis | System analysisGenre/Form: Electronic books.Additional physical formats: Print version:: Qualitative analysis of large scale dynamical systemsDDC classification: 515.7 LOC classification: QA402 .M48Online resources: Click here to view this ebook.
Contents:
Front Cover; Qualitative Analysis of Large Scale Dynamical Systems; Copyright Page; Contents; Preface; Acknowledgments; Chapter I. Introduction; 1.1 Introduction; 1.2 Qualitative Analysis of Dynarnical Systems: General Remarks; 1.3 Qualitative Analysis of Large Scale Systems: General Remarks; 1.4 An Overview of the Subsequent Chapters; Chapter II. Systems Described by Ordinary Differential Equations; 2.1 Notation; 2.2 Lyapunov Stability and Related Results; 2.3 Large Scale Systems; 2.4 Analysis by Scalar Lyapunov Functions; 2.5 Application of M-Matrices
2.6 Application of the Comparison Principle to Vector Lyapunov Functions2.7 Estimates of Trajectory Behavior and Trajectory Bounds; 2.8 Applications; 2.9 Notes and References; Chapter III. Discrete Time Systems and Sampled Data Systems; 3.1 Systems Described by Difference Equations; 3.2 Large Scale Systems; 3.3 Stability and Instability of Large Scale Systems; 3.4 Examples; 3.5 Sampled Data Systems; 3.6 Notes and References; Chapter IV. Systems Described by Stochastic Differential Equations; 4.1 Notation; 4.2 Systems Described by Stochastic Differential Equations; 4.3 Composite Systems
4.4 Analysis by Scalar Lyapunov Functions4.5 Analysis by Vector Lyapunov Functions; 4.6 Examples; 4.7 Notes and References; Chapter V. Infinite-Dimensional Systems; 5.1 Notation; 5.2 Co-Semigroups; 5.3 Nonlinear Semigroups; 5.4 Lyapunov Stability of Dynamical Systems; 5.5 Examples of Semigroups; 5.6 Stability of Large Scale Systems Described on Banach Spaces; 5.7 Some Examples and Applications; 5.8 Functional Differential Equations-Special Results; 5.9 Application of Comparison Theorems to Vector Lyapunov Functions; 5.10 Notes and References
Chapter VI. Input-Output Stability of Large Scale Systems6.1 Preliminaries; 6.2 Stability of Large Scale Systems: Results Involving Gains; 6.3 Instability of Large Scale Systems; 6.4 Stability of Large Scale Systems: Results Involving Sector and Conicity Conditions; 6.5 Stability of Large Scale Systems: Popov-Like Conditions; 6.6 L∞-Stability and l∞-Stability of Large Scale Systems; 6.7 Analysis and Design Procedure; 6.8 Notes and References; Chapter VII. Integrodifferential Systems; 7.1 Preliminary Results; 7.2 L2-Stability and Instability of Interconnected Systems
7.3 Linear Equations and Linearized Equations7.4 An Example; 7.5 Notes and References; References; Index
Summary: Qualitative analysis of large scale dynamical systems
Tags from this library: No tags from this library for this title. Log in to add tags.
Item type Current location Call number URL Status Date due Barcode
Electronic Book UT Tyler Online
Online
QA402 .M48 (Browse shelf) http://uttyler.eblib.com/patron/FullRecord.aspx?p=453088 Available EBL453088

Front Cover; Qualitative Analysis of Large Scale Dynamical Systems; Copyright Page; Contents; Preface; Acknowledgments; Chapter I. Introduction; 1.1 Introduction; 1.2 Qualitative Analysis of Dynarnical Systems: General Remarks; 1.3 Qualitative Analysis of Large Scale Systems: General Remarks; 1.4 An Overview of the Subsequent Chapters; Chapter II. Systems Described by Ordinary Differential Equations; 2.1 Notation; 2.2 Lyapunov Stability and Related Results; 2.3 Large Scale Systems; 2.4 Analysis by Scalar Lyapunov Functions; 2.5 Application of M-Matrices

2.6 Application of the Comparison Principle to Vector Lyapunov Functions2.7 Estimates of Trajectory Behavior and Trajectory Bounds; 2.8 Applications; 2.9 Notes and References; Chapter III. Discrete Time Systems and Sampled Data Systems; 3.1 Systems Described by Difference Equations; 3.2 Large Scale Systems; 3.3 Stability and Instability of Large Scale Systems; 3.4 Examples; 3.5 Sampled Data Systems; 3.6 Notes and References; Chapter IV. Systems Described by Stochastic Differential Equations; 4.1 Notation; 4.2 Systems Described by Stochastic Differential Equations; 4.3 Composite Systems

4.4 Analysis by Scalar Lyapunov Functions4.5 Analysis by Vector Lyapunov Functions; 4.6 Examples; 4.7 Notes and References; Chapter V. Infinite-Dimensional Systems; 5.1 Notation; 5.2 Co-Semigroups; 5.3 Nonlinear Semigroups; 5.4 Lyapunov Stability of Dynamical Systems; 5.5 Examples of Semigroups; 5.6 Stability of Large Scale Systems Described on Banach Spaces; 5.7 Some Examples and Applications; 5.8 Functional Differential Equations-Special Results; 5.9 Application of Comparison Theorems to Vector Lyapunov Functions; 5.10 Notes and References

Chapter VI. Input-Output Stability of Large Scale Systems6.1 Preliminaries; 6.2 Stability of Large Scale Systems: Results Involving Gains; 6.3 Instability of Large Scale Systems; 6.4 Stability of Large Scale Systems: Results Involving Sector and Conicity Conditions; 6.5 Stability of Large Scale Systems: Popov-Like Conditions; 6.6 L∞-Stability and l∞-Stability of Large Scale Systems; 6.7 Analysis and Design Procedure; 6.8 Notes and References; Chapter VII. Integrodifferential Systems; 7.1 Preliminary Results; 7.2 L2-Stability and Instability of Interconnected Systems

7.3 Linear Equations and Linearized Equations7.4 An Example; 7.5 Notes and References; References; Index

Qualitative analysis of large scale dynamical systems

Description based upon print version of record.

There are no comments on this title.

to post a comment.