Maximal lyapunov functions and domains of attraction for autonomous nonlinear systems

Automatica

Volumn 21, Issue 1, 1985, Pages 69-80

  Vannelli, A ^a   Vidyasagar, M ^b  

^a IBM T J WATSON RESEARCH CENTER   (United States)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Lyapunov methods; nonlinear systems; stability

Indexed keywords

CONTROL SYSTEMS, NONLINEAR; MATHEMATICAL TECHNIQUES - ITERATIVE METHODS;

AUTONOMOUS NONLINEAR SYSTEMS; DOMAIN OF ATTRACTION; MAXIMAL LYAPUNOV FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS;

SYSTEM STABILITY;

EID: 0021817154     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0005-1098(85)90099-8     Document Type: Article

References (24)

1. FCDPAK: A FORTRAN IV subroutine to solve differentiable mathematical programmes—user's guide—level 3.1
2. ACDPAC: A FORTRAN IV subroutine to solve differentiable mathematical programmes—user's guide—level 2.0
3. The status of stability theory for deterministic systems
4. Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximation
5. A computational method for determining quadratic Lyapunov functions for nonlinear systems
6. Stability analysis of predator-prey models via the Lyapunov method
7. Bounds on the norm of a solution of a general differential equation
8. A method for the solution of certain nonlinear problems in the least squares
9. Estimating the domain of attraction of nonlinear feedback systems
10. On the question of the reciprocal of Lyapunov's theorem on asymptotic stability
11. An algorithm for least squares estimation of nonlinear parameters
12. Stability analysis of interconnected systems using computer generated Lyapunov functions
13. Power system transient stability regions using Popov's method
14. The generation of Lyapunov functions
15. Finite regions of attraction for the problem of Lur'e
16. Application of results from the absolute stability problem to the computation of finite stability domains
17. Improved Lyapunov functions for transient power-system stability
18. Direct methods for transient stability studies in power system analysis
19. Nonlinear power system stability study by Lyapunov function and Zubov's method