Stability Regions of Nonlinear Dynamical Systems

Theory, Estimation, and Applications

Nonfiction, Science & Nature, Mathematics, Applied, Technology
Cover of the book Stability Regions of Nonlinear Dynamical Systems by Hsiao-Dong Chiang, Luís F. C. Alberto, Cambridge University Press
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Author: Hsiao-Dong Chiang, Luís F. C. Alberto ISBN: 9781316365328
Publisher: Cambridge University Press Publication: August 13, 2015
Imprint: Cambridge University Press Language: English
Author: Hsiao-Dong Chiang, Luís F. C. Alberto
ISBN: 9781316365328
Publisher: Cambridge University Press
Publication: August 13, 2015
Imprint: Cambridge University Press
Language: English

This authoritative treatment covers theory, optimal estimation and a range of practical applications. The first book on the subject, and written by leading researchers, this clear and rigorous work presents a comprehensive theory for both the stability boundary and the stability regions of a range of nonlinear dynamical systems including continuous, discrete, complex, two-time-scale and non-hyperbolic systems, illustrated with numerical examples. The authors also propose new concepts of quasi-stability region and of relevant stability regions and their complete characterisations. Optimal schemes for estimating stability regions of general nonlinear dynamical systems are also covered, and finally the authors describe and explain how the theory is applied in applications including direct methods for power system transient stability analysis, nonlinear optimisation for finding a set of high-quality optimal solutions, stabilisation of nonlinear systems, ecosystem dynamics, and immunisation problems.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This authoritative treatment covers theory, optimal estimation and a range of practical applications. The first book on the subject, and written by leading researchers, this clear and rigorous work presents a comprehensive theory for both the stability boundary and the stability regions of a range of nonlinear dynamical systems including continuous, discrete, complex, two-time-scale and non-hyperbolic systems, illustrated with numerical examples. The authors also propose new concepts of quasi-stability region and of relevant stability regions and their complete characterisations. Optimal schemes for estimating stability regions of general nonlinear dynamical systems are also covered, and finally the authors describe and explain how the theory is applied in applications including direct methods for power system transient stability analysis, nonlinear optimisation for finding a set of high-quality optimal solutions, stabilisation of nonlinear systems, ecosystem dynamics, and immunisation problems.

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