Singularly Impulsive or Generalized Impulsive Dynamical Systems: Lyapunov and Asymptotic Stability

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2003, Pages 173-175

  Kablar, Nataša A ^a  

^a Lola Institute   (Yugoslavia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ASYMPTOTIC STABILITY; FUNCTIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; VECTORS;

HYBRID SYSTEMS; IMPULSIVE DYNAMICAL SYSTEMS;

NONLINEAR SYSTEMS;

EID: 1542269343     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. W.M. Haddad, V.Chellaboina, N.A. Kablar, "Nonlinear Impulsive Dynamical Systems: Stability and Dissipativity," Proc. IEEE Conf. Dec. Contr., pp. 5158-5163, Phoenix, AZ, 1999. Also in: Int. J. Contr., vol. 74, pp. 1631-1658, 2001.
2. W.M. Haddad, V.Chellaboina, N.A. Kablar, "Nonlinear Impulsive Dynamical Systems: Stability and Dissipativity," Proc. IEEE Conf. Dec. Contr., pp. 5158-5163, Phoenix, AZ, 1999. Also in: Int. J. Contr., vol. 74, pp. 1631-1658, 2001.
3. W.M. Haddad, V.Chellaboina, N.A. Kablar, "Nonlinear Impulsive Dynamical Systems: Feedback Interconnections and Optimality," Proc. IEEE Conf. Dec. Contr., Phoenix, AZ, 1999. Also in: Int. J. Contr., vol. 74, pp. 1659-1677, 2001.
4. W.M. Haddad, V.Chellaboina, N.A. Kablar, "Nonlinear Impulsive Dynamical Systems: Feedback Interconnections and Optimality," Proc. IEEE Conf. Dec. Contr., Phoenix, AZ, 1999. Also in: Int. J. Contr., vol. 74, pp. 1659-1677, 2001.
5. W.M. Haddad, N.A. Kablar, V.Chellaboina, "Robustness of Uncertain Nonlinear Impulsive Dynamical Systems," Proc. IEEE Conf. Dec. Contr., Sidney, pp. 2959-2964, Australia, 2000. Also in: Nonlinear Anal., submitted.
6. W.M. Haddad, N.A. Kablar, V.Chellaboina, "Robustness of Uncertain Nonlinear Impulsive Dynamical Systems," Proc. IEEE Conf. Dec. Contr., Sidney, pp. 2959-2964, Australia, 2000. Also in: Nonlinear Anal., submitted.
7. W.M. Haddad, N.A. Kablar, V.Chellaboina, "Optimal Disturbance Rejection of Nonlinear Impulsive Dynamical Systems," Nonlinear Anal., submitted.
8. N.A. Kablar, "Singularly Impulsive or Generalized Impulsive Dynamical Systems," Proc. Amer. Contr. Conf., Denver, CO, 2003.
9. Z-H. Guan, C.W.Chan, Andrew Y.T.Leung, and Guanrong Chen, "Robust Stabilization of Singular-Impulsive-Delayed Systems with Nonlinear Perturbations," IEEE Trans. On Circ. And Sys. - I: Fundamental Theory and Applications, vol. 48, No. 3, 2001.
10. D.D. Bainov and P.S. Simeonov, Systems with Impulse Effect: Stability, Theory and Applications. England, Ellis Horwood Limited, 1989.
11. A. M. Samoilenko and N.A. Perestyuk, Impulsive Differential Equations. World Scientific, 1995.
12. H. Ye, A.N. Michel, and L. Hou, "Stability Analysis of Systems with Impulsive Effects," IEEE Trans. Autom. Contr., vol. 43, pp. 1719-1723, 1998.
13. S. Boyd, L.E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. In: SIAM studies in applied mathematics, 1994.