Delay-dependent stabilization of singularly perturbed jump linear systems

International Journal of Control

Volumn 77, Issue 3, 2004, Pages 310-319

  Boukas, E K ^a   Liu, Z K ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEM SYNTHESIS; DELAY CONTROL SYSTEMS; MARKOV PROCESSES; MATRIX ALGEBRA; NUMERICAL METHODS; PERTURBATION TECHNIQUES; STABILITY CRITERIA; STATE FEEDBACK; STOCHASTIC CONTROL SYSTEMS;

DELAY DEPENDENT STABILIZATION; LINEAR MATRIX INEQUALITY; SINGULARLY PERTURBED JUMP LINEAR SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 1542335593     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170310001657298     Document Type: Article

References (11)

1. Borno, I., and Gajic, Z., 1995a, Parallel algorithms for optimal control of weakly coupled and singularly perturbed jump linear systems. Automatica, 31, 985-988.
2. Borno, I., and Gajic, Z., 1995b, Parallel algorithm for solving coupled algebraic lyapunov equations of discrete-time jump linear systems. Computers Math. Appl., 30, 1-4.
3. Boukas, E. K., Liu, Z. K., and Shi, P., 2002, Delay-dependent stability and output feedback stabilisation of Markov jump system with time-delay. IEE Proceedings - Control Theory and Applications, 149.
4. Boukas, E. K., and Liu, Z. K., 2002a, Delay-dependent stability of singular linear system (submitted for publication).
5. Boukas, E. K., and Liu, Z. K., 2002b, Deterministic and Stochastic Time Delay Systems (Boston: Birkhauser).
6. Brumbaugh, R., 1994, An aircraft model for the AIAA controls design challenge. AIAA Journal of Guidance, Control, and Dynamics, 17, 747-752.
7. Dai, L. Y., 1988, Singular Control Systems, Lecture Notes in Control and Information Sciences 118 (Springer-Verlag).
8. Gajic, Z., and Lim, M. T., 2001, Optimal Control of Singularly Perturbed Linear Systems and Applications (New York, Marcel Dekker).
9. Liu, X., 1999, Input-output decoupling of linear time-varying singular systems. IEEE Transactions on Automatic Control, 44, 1016-1021.
10. Moerder, D., and Calise, A., 1985, Two-time scale stabilization of systems with output feedback. AIAA Journal of Guidance, Control, and Dynamics, 8, 731-736.
11. Shen, S. X., Xia, Q., Rao, M., and Ying, Y., 1993, Near-optimum regulators for singularly perturbed jump systems. Control-Theory and Advanced Technology, 9, 759-773.