Nonlinear systems analysis
著者
書誌事項
Nonlinear systems analysis
Prentice Hall, c1993
2nd ed
- : pbk
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注記
Includes bibliographical references (p. 486-492) and index
内容説明・目次
- 巻冊次
-
ISBN 9780136234630
内容説明
The second edition provides thorough, up-to-date coverage of the analytical foundations of various aspects of nonlinear systems. This includes details on existence and uniqueness of solutions and approximate analysis methods. Reflecting the increasing importance of digital computers, the author has included a discussion of discrete-time systems in the chapters dealing with Lyapunov stability and input-output stability. Several applications of nonlinear system theory are included throughout the book, including stability and convergence of adaptive identifiers, stability of a class of electro-mechanical systems, a separation theorem for deterministic nonlinear systems, and more.
目次
1. Introduction. 2. Nonlinear Differential Equations. 3. Second-Order Systems. 4. Approximate Analysis Methods. 5. Lyapunov Stability. 6. Input-Output Stability. 7. Differential Geometric Methods. Appendix A: Prevalence of Differential Equations with Unique Solutions. Appendix B: Proof of the Kalman-Yacubovitch Lemma. Appendix C: Proof of the Frobenius Theorem.
- 巻冊次
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: pbk ISBN 9780136235132
内容説明
This work provides coverage of the analytical foundations of various aspects of nonlinear systems, including solutions, approximate analysis methods and stability theory from both the Lyapunov and the input-output viewpoints. The book presents the mathematical approach to the study of nonlinear systems; includes coverage of differential geometric methods for nonlinear systems (including recent research findings); covers nonlinear reachability and feedback linearization and both discrete-time and continuous-time systems; and incorporates real examples with applications in robotics, adaptive control and other fields to illustrate the theorums.
目次
Introduction. Non-linear Differential Equations. Second-Order Systems. Approximate Analysis Methods. Lyapunov Stability. Input-Output Stability. Differential Geometric Methods. Appendices: Prevalence of Differential Equations with Unique Solutions, Proof of the Kalman-Yacubovitch Lemma and Proof of the Frobenius Theorem.
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