Cone-valued Lyapunov functions and stability of impulsive control systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 39, Issue 2, 2000, Pages 247-259

  Akinyele, Olusola ^a  

^a BOWIE STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; CONTROL SYSTEMS; CONTROLLABILITY; FUNCTIONS; SET THEORY; THEOREM PROVING; VECTORS;

CONE VALUED LYAPUNOV FUNCTIONS; IMPULSIVE CONTROL SYSTEM; IMPULSIVE DIFFERENTIAL SYSTEMS;

LYAPUNOV METHODS;

EID: 0033883821     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00160-6     Document Type: Article

References (10)

1. 0-stability of comparison differential system, J. Math. Anal. Appl. 164 (2) (1992) 307-324.
2. S. Koksal, V. Lakshmikantham, Higher derivatives of Lyapunov functions and cone-valued Lyapunov functions, Nonlinear Analysis 26(9) (1996) 1555-1564.
3. V. Lakshmikantham, D.D. Bainov, P.S. Simeonov, Theory of impulsive Differential Equations, World Scientific, Singapore, 1989.
4. V. Lakshmikantham, S. Leela, A.A. Martynyuk, Practical stability of nonlinear systems, World Scientific, Singapore, 1990.
5. V. Lakshmikantham, S. Leela, Cone valued Lyapunov functions, Nonlinear Anal. 1 (1977) 215-222.
6. V. Lakshmikantham, M.S. Papageorgiou, Cone valued Lyapunov functions and stability theory, Nonlinear Anal. 22 (3) (1994) 381-390.
7. V. Lakshmikantham, V.M. Matrosov, S. Sivasundaram, Vector Lyapunov functions and stability analysis of nonlinear systems, Kluwer, The Netherlands, 1991.
8. Xinzhi Liu, Practical stabilization of control systems with impulsive effects, J. Math. Anal. Appl. 166 (1992) 563-576.
9. Xinzhi Liu, Impulsive stabilization of nonlinear systems, IMA J. Math. Control inform. 10 (1993) 11-19.
10. F.A. McRae, practical stability of Impulse control systems, J. Math. Anal. Appl. 181 (1994) 656-672.