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Applied Mathematics and Computation

Volumn 218, Issue 22, 2012, Pages 11021-11032

Stability of linear stochastic systems via Lyapunov exponents and applications to power systems

(3) Verdejo, Humberto a,b Vargas, Luis a Kliemann, Wolfgang c,d

a UNIVERSITY OF CHILE (Chile)

b UNIVERSIDAD DE SANTIAGO DE CHILE (Chile)

c IOWA STATE UNIVERSITY (United States)

d PONTIFICIA UNIVERSIDAD CATÓLICA DE CHILE (Chile)

Author keywords

Linear stochastic systems; Lyapunov exponents; Numerical methods; Stability

Indexed keywords

GENERATION UNCERTAINTY; LINEAR OSCILLATOR; LINEAR STOCHASTIC SYSTEM; LYAPUNOV EXPONENT; MARKOV DIFFUSIONS; ONE-MACHINE; RANDOM PERTURBATIONS; STOCHASTIC PERTURBATIONS; SUFFICIENT CONDITIONS;

ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; ELECTRIC POWER SYSTEMS; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; NUMERICAL METHODS; STOCHASTIC MODELS;

LYAPUNOV METHODS;

EID: 84862837825 PISSN: 00963003 EISSN: None Source Type: Journal
DOI: 10.1016/j.amc.2012.04.063 Document Type: Article

Times cited : (26)

References (10)

1
- 0004034319
- Springer-Verlag
- L. Arnold Random Dynamical Systems 1998 Springer-Verlag
- (1998) Random Dynamical Systems
- Arnold, L.¹

2
- 0002923716
- On unique ergodicity for degenerate diffusions
- L. Arnold, and W. Kliemann On unique ergodicity for degenerate diffusions Stochastics 21 1987 41 61
- (1987) Stochastics , vol.21 , pp. 41-61
- Arnold, L.¹ Kliemann, W.²

3
- 0001881377
- Lyapunov Exponents of Linear Stochastic Systems
- 85-125
- L. Arnold, W. Kliemann, and E. Oeljeklaus Lyapunov Exponents of Linear Stochastic Systems Springer Lecture Notes in Mathematics No. 1186 1986 pp. 85-125
- (1986) Springer Lecture Notes in Mathematics , vol.1186
- Arnold, L.¹ Kliemann, W.² Oeljeklaus, E.³

4
- 77956444521
- Spectral theory for perturbed systems
- F. Colonius, and W. Kliemann Spectral theory for perturbed systems GAMM Mitteilungen 321 2009 26 46
- (2009) GAMM Mitteilungen , vol.321 , pp. 26-46
- Colonius, F.¹ Kliemann, W.²

5
- 0030127882
- Approximation of Lyapunov exponents of nonlinear stochastic differential equations
- A. Grorud, and D. Talay Approximation of Lyapunov exponents of nonlinear stochastic differential equations SIAM J. Appl. Math. 56 2 1996 627 650
- (1996) SIAM J. Appl. Math. , vol.56 , Issue.2 , pp. 627-650
- Grorud, A.¹ Talay, D.²

6
- 0003980507
- Springer-Verlag
- W. Hahn Stability of Motion 1967 Springer-Verlag
- (1967) Stability of Motion
- Hahn, W.¹

7
- 0003568337
- Springer-Verlag
- P. Kloeden, and E. Platen Numerical Solution of Stochastic Differential Equations 2000 Springer-Verlag
- (2000) Numerical Solution of Stochastic Differential Equations
- Kloeden, P.¹ Platen, E.²

8
- 0003393654
- reprinted ed. McGraw-Hill
- P. Kundur Power System Stability and Control reprinted ed. 1994 McGraw-Hill
- (1994) Power System Stability and Control
- Kundur, P.¹

9
- 0026202362
- Approximation of upper Lyapunov exponents of bilinear stochastic differential systems
- D. Talay Approximation of upper Lyapunov exponents of bilinear stochastic differential systems SIAM J. Numer. Anal. 28 4 1991 1141 1164
- (1991) SIAM J. Numer. Anal. , vol.28 , Issue.4 , pp. 1141-1164
- Talay, D.¹

10
- 33947661224
- Cambridge University Press
- W.-C. Xie Dynamic Stability of Structures 2006 Cambridge University Press
- (2006) Dynamic Stability of Structures
- Xie, W.-C.¹

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