000			03882nam a2200373 i 4500
001			CR9781139548861
003			UkCbUP
005			20240730160749.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			120712s2015||||enk o ||1 0|eng|d
020			_a9781139548861 (ebook)
020			_z9781107035409 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA871 _b.C52 2015
082	0	0	_a003/.85 _223
100	1		_aChiang, H. _q(Hsiao-Dong), _eauthor. _974548
245	1	0	_aStability regions of nonlinear dynamical systems : _btheory, estimation, and applications / _cHsiao-Dong Chiang, Cornell University, Luís F.C. Alberto, University of Sao Paulo.
264		1	_aCambridge : _bCambridge University Press, _c2015.
300			_a1 online resource (x, 472 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. 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			_aThis 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	_aStability. _95467
650		0	_aDynamics. _974549
650		0	_aNonlinear control theory. _93691
700	1		_aAlberto, Luís Fernando Costa, _eauthor. _974550
776	0	8	_iPrint version: _z9781107035409
856	4	0	_uhttps://doi.org/10.1017/CBO9781139548861
942			_cEBK
999			_c84158 _d84158