國立高雄大學圖資館 |

Language: English

Back

Stability regions of nonlinear dynam...

Alberto, Luis Fernando Costa.

Stability regions of nonlinear dynamical systemstheory, estimation, and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stability regions of nonlinear dynamical systemsHsiao-Dong Chiang, Luis F. C. Alberto.
Reminder of title:	theory, estimation, and applications /
Author:	Chiang, H.
other author:	Alberto, Luis Fernando Costa.
Published:	Cambridge :Cambridge University Press,2015.
Description:	x, 472 p. :digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Stability.
Online resource:	https://doi.org/10.1017/CBO9781139548861
ISBN:	9781139548861$q(electronic bk.)

Stability regions of nonlinear dynamical systemstheory, estimation, and applications /
Chiang, H.

Stability regions of nonlinear dynamical systemstheory, estimation, and applications /[electronic resource] :Hsiao-Dong Chiang, Luis F. C. Alberto. - Cambridge :Cambridge University Press,2015. - x, 472 p. :digital ;24 cm.

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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.

ISBN: 9781139548861$q(electronic bk.)Subjects--Topical Terms:

191051
Stability.

LC Class. No.: QA871 / .C52 2015

Dewey Class. No.: 003.85

Stability regions of nonlinear dynamical systemstheory, estimation, and applications /
LDR:03413nmm a2200265 a 4500 001 579214
003 UkCbUP
005 20151005020622.0
006 m d
007 cr nn 008maaau
008 201221s2015 enk o 1 0 eng d
020 $a 9781139548861$q(electronic bk.)
020 $a 9781107035409$q(paper)
035 $a CR9781139548861
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA871 $b .C52 2015
082 0 4 $a 003.85 $2 23
090 $a QA871 $b .C532 2015
100 1 $a Chiang, H. $3 868464
245 1 0 $a Stability regions of nonlinear dynamical systems $h [electronic resource] : $b theory, estimation, and applications / $c Hsiao-Dong Chiang, Luis F. C. Alberto.
260 $a Cambridge : $b Cambridge University Press, $c 2015.
300 $a x, 472 p. : $b digital ; $c 24 cm.
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a 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 $a 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.
650 0 $a Stability. $3 191051
650 0 $a Dynamics. $3 189568
650 0 $a Nonlinear control theory. $3 182079
700 1 $a Alberto, Luis Fernando Costa. $3 868465
856 4 0 $u https://doi.org/10.1017/CBO9781139548861