Stability regions of nonlinear dynamical systems : (Record no. 84158)

000 -LEADER
fixed length control field 03882nam a2200373 i 4500
001 - CONTROL NUMBER
control field CR9781139548861
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240730160749.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120712s2015||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781139548861 (ebook)
082 00 - CLASSIFICATION NUMBER
Call Number 003/.85
100 1# - AUTHOR NAME
Author Chiang, H.
245 10 - TITLE STATEMENT
Title Stability regions of nonlinear dynamical systems :
Sub Title theory, estimation, and applications /
300 ## - PHYSICAL DESCRIPTION
Number of Pages 1 online resource (x, 472 pages) :
500 ## - GENERAL NOTE
Remark 1 Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0# - FORMATTED CONTENTS NOTE
Remark 2 1. Introduction -- Part I. Theory: 2. Stability, limit sets and stability regions; 3. Energy function theory; 4. Stability regions of continuous dynamical systems; 5. Stability regions of attracting sets of complex nonlinear dynamical systems; 6. Quasi-stability regions of continuous dynamical systems; 7. Stability regions of constrained dynamical systems; 8. Relevant stability boundary of continuous dynamical systems; 9. Stability regions of discrete dynamical systems -- Part II. Estimation: 10. Estimating stability regions of continuous dynamical systems; 11. Estimating stability regions of complex continuous dynamical systems; 12. Estimating stability regions of discrete dynamical systems; 13. A constructive methodology to estimate stability regions of nonlinear dynamical systems; 14. Estimation of relevant stability regions; 15. Critical evaluation of numerical methods for approximating stability boundaries -- Part III. Advanced Topics: 16. Stability regions of two-time scale continuous dynamical systems; 17. Stability regions for a class of non-hyperbolic dynamical systems: theory and estimation; 18. Optimal estimation of stability regions for a class of large-scale nonlinear dynamic systems; 19. Bifurcations of stability regions -- Part IV. Applications: 20. Application of stability regions to direct stability analysis of large-scale electric power systems; 21. Stability-region-based methods for multiple optimal solutions of nonlinear programming; 22. Perspectives and future directions.
520 ## - SUMMARY, ETC.
Summary, etc 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.
700 1# - AUTHOR 2
Author 2 Alberto, Luís Fernando Costa,
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1017/CBO9781139548861
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eBooks
264 #1 -
-- Cambridge :
-- Cambridge University Press,
-- 2015.
336 ## -
-- text
-- txt
-- rdacontent
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-- computer
-- c
-- rdamedia
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-- online resource
-- cr
-- rdacarrier
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Stability.
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Dynamics.
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1
-- Nonlinear control theory.

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