Absolute Stability of Lurie Systems with Impulsive Effects

Computers and Mathematics with Applications

Volumn 47, Issue 2-3, 2004, Pages 419-425

  Xu, Bingji ^a   Liu, Xinzhi ^a   Liao, Xiaoxin ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Absolute stability; Impulsive Lurie systems; Lyapunov function; Variation of parameters

Indexed keywords

CONTROL NONLINEARITIES; DIFFERENTIAL EQUATIONS; FUNCTION EVALUATION; LYAPUNOV METHODS; MATRIX ALGEBRA;

ABSOLUTE STABILITY; IMPULSIVE LURIE SYSTEMS;

SYSTEM STABILITY;

EID: 1242329944     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(04)90034-x     Document Type: Article

References (9)

1. V. Lakshmikantham, D.D. Bainov and P.S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, (1989).
2. D.D. Bainov and P.S. Simeonov, Systems with Impulse Effect: Stability Theory and Applications, Ellis Horwood Limited, England, (1989).
3. V. Lakshmikantham and X. Liu, On quasi stability for impulsive differential systems, Non. Anal. Theory, Methods and Applications 13, 819-828, (1989).
4. X. Liu, Quasi stability via Lyapunov functions for impulsive differential systems, Applicable Analysis 31, 201-213, (1988).
5. X. Liu and A.S. Vatsala, Variations of parameters in terms of Lyapunov-like functions and stability of perturbed systems, Nonlinear Studies 5, 47-58, (1998).
6. A.I. Lur'e and V.N. Postnikov, On the theory of stability of control systems, Prikl. Mat. Meh. 8 (3), (1944).
7. K.S. Narendra and J.H. Taylor, Frequency Domain Criteria for Absolute Stability, Academic Press, New York, (1973).
8. V. Singh, A new approach to the absolute stability of nonlinear feedback systems with slope-restricted nonlinearity, IEEE Trans. Circuits Syst. 32, 402-403, (1985).
9. A. Halanay and V. Rasvan, Absolute stability of feedback systems with several differential nonlinearities, Int. J. Syst. Sci. 22, 1911-1927, (1991).