Stabilization of a class of uncertain large-scale stochastic systems with time delays

Automatica

Volumn 36, Issue 1, 2000, Pages 161-167

  Xie, Shoulie ^a   Xie, Lihua ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; DECENTRALIZED CONTROL; LARGE SCALE SYSTEMS; MATRIX ALGEBRA; PROBABILITY; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; UNCERTAIN SYSTEMS;

LARGE-SCALE INTERCONNECTED BILINEAR STOCHASTIC SYSTEMS; LINEAR MATRIX INEQUALITIES (LMI);

STOCHASTIC CONTROL SYSTEMS;

EID: 0033895309     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(99)00147-8     Document Type: Article

References (14)

1. Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in systems and control theory, vol. 15 of Studies in applied mathematics. Philadelphia: SIAM.
2. Chen Y.H., Leitmann G., Xiong Z.K. Robust control design for interconnected systems with time-varying uncertainties. International Journal of Control. 54:1991;1457-1477.
3. Gavel D.T., Siljak D.D. Decentralized adaptive control: Structural conditions for stability. IEEE Transactions on Automatic Control. 34(4):1989;413-426.
4. Hu Z. Decentralized stabilization of large-scale interconnected systems with delays. IEEE Transactions on Automatic Control. 39(1):1994;180-182.
5. Khas'miniskii R.Z. Stochastic stability of differential equations. 1980;S & N International Publisher, Rockville, MD.
6. Lee T.N., Radovic U.L. Decentralized stabilization of linear continuous and discrete time systems with delays in interconnections. IEEE Transactions on Automatic Control. 33(8):1988;757-761.
7. Li, X., & de Souza, C.E. (1996). Criteria for robust stability of uncertain linear systems with time-varying state delays. In Procedings of the 13rd IFAC World Congress. San Francisco (pp. 137-142).
8. Mahmoud M.S., Bingulac S. Robust design of stabilizing controllers for interconnected time-delay systems. Automatica. 34(6):1998;795-800.
9. Nesterov, Y., & Nemirovsky, A. (1994). Interior point polynomial method in convex programming, vol. 13 of Studies in Applied Mathematics. Philadelphia: SIAM.
10. Ø ksendal B. Stochastic Differential Equations: An introduction with applications. 1985;Springer, New York.
11. Siljak D.D. Decentralized control of complex systems. 1991;Academic Press, New York.
12. Verriest E.I., Florchinger P. Stability of stochastic systems with uncertain time delays. Systems and Control Letters. 24:1995;41-47.
13. Xie, L., & de Souza, C.E. (1993). Robust stabilization and disturbance attenuation for uncertain delay systems. In Procedings of the Second European control conference. Groningen, Netherland (pp. 667-672).
14. ∞ control and quadratic stabilization of systems with parameter uncertainty via output feedback IEEE Transactions on Automatic Control. 37:1992;1253-1256.