Improved bounded real lemma for continuous-time stochastic systems with polytopic uncertainties

Proceedings of the American Control Conference

Volumn 3, Issue , 2004, Pages 2654-2658

  Gao, Huijun ^a   Wang, Changhong ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SOFTWARE; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

BOUNDED REAL LEMMA (BRL); CONTINOUS-TIME STOCHASTIC SYSTEMS; LINEAR MATRIX INEQUALITY (LMI); SYSTEM MATRICES;

STOCHASTIC CONTROL SYSTEMS;

EID: 8744299179     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. 2 synthesis with enhanced linear matrix inequalities (LMI) characterizations. IEEE Trans. Automat. Control, 46:1941-1946, 2001.
2. B. R. Barmish. Necessary and sufficient conditions for quadratic stabilizability of an uncertain system. J. Optim. Theory Appl., 46:399-408, 1985.
3. M. C. De Oliveira, J. Bernussou, and J. C. Geromel. A new discrete-time robust stability condition. Systems & Control Letters, 37:261-265, 1999.
4. ∞ norm characterizations and controller parametrizations for discrete-time systems. Int. J. Control, 75:666-679, 2003.
5. ∞ control. Int. J. Robust & Nonlinear Control, 4:421-448, 1994.
6. H. Gao and C. Wang. Robust energy-to-peak tering with improved LMI representations. IEE Proc. Part J: Vision, Image and Signal Processing, 150(2):82-89, 2003.
7. ∞ tering for uncertain systems with multiple time-varying state delays. IEEE Trans. Circuits and Systems (I), 50(4):594-599, 2003.
8. ∞ SIAM J. Control Optim., 36(5):1504-1538, 1998.
9. ∞ control problem: LMI existence conditions and state space formulas. Automatica, 30(8):1307-1317, 1994.
10. ∞ tering for uncertain discrete-time state-delayed systems. IEEE Trans. Signal Processing, 49(8):1696-1703, 2001.
11. D. C. W. Ramos and P. L. D. Peres. An LMI condition for the robust stability of uncertain continuous-time linear systems. IEEE Trans. Automat. Control, 47:675-678, 2002.
12. U. Shaked. Improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty. IEEE Trans. Automat. Control, 46(4):652-656, 2001.
13. ∞ control for uncertain stochastic systems with state delay. IEEE Trans. Automat. Control, 47(12):2089-2094, 2002.