Guaranteed stabilization of interconnected discrete-time uncertain systems

References

• BAHNASAWI , A. A. , AL-FUHAID , A. S. , and MAHMOUD , M. S. , 1989 , Stabilization of interconnected discrete systems via decentralized control . Journal of Information and Decision Technologies , 15 , 163 – 177 ; 1990a, Decentralized and hierarchical control of interconnected uncertain systems. Proceedings of the Institution of Electrical Enyineers, Pt D, 137, 311-321; 1990 b, A new hierarchical control structure for a class of uncertain discrete systems. Control Theory and Advanced Technology, 6, 1-21 .
   Google Scholar
• BAHNASWAI , A. A. , and MAHMOUD , M. S. , 1988 , Control of Partially-known Dynamical Systems ( Berlin Springer-Verlag ).
   Google Scholar
• BARMISH , B. R. , CORLESS , M. , and LEITMANN , G. , 1983 , A new class of stabilizing controller for uncertain dynamical systems . SI AM Journal on Control and Optimization , 21 , 246 – 255 ; 1985, Necessary and sufficient conditions for quadratic stabilizability for uncertain linear systems. Journal of Optimization Theory and Applications, 46, 399-407 .
   Web of Science ®Google Scholar
• CHEN , Y. H. , 1987 , Deterministic control of large-scale uncertain dynamical systems . Journal of the Franklin Institute , 323 , 135 – 144 ; 1988, Decentralized robust control system design for large-scale uncertain systems. International Journal of Control, 47, 1195-1205 .
   Google Scholar
• CORLESS , M. , and LEITMANN , C. , 1981 , Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic system . IEEE Transactions of Automatic Control , 26 , 1139 – 1144 .
   Web of Science ®Google Scholar
• HANDSCHIN , E. , 1977 , Synchronous turbo generator . A Collection of Plant Models and Design Specification for Robust Control . DFVLR Institute for Right Systems Dynamics, D-8031 , West Germany .
   Google Scholar
• LEITMANN , G. , 1981 , On the efficacy of nonlinear control in uncertain linear systems . Journal of Dynamic Systems, Measurements and Control , 103 , 95 – 102 .
   Web of Science ®Google Scholar
• MAHMOUD , M. S. , and SINGH , M. G. , 1984 , Discrete Systems Analysis, Optimization and Control ( Berlin Springer-Verlag ).
   Google Scholar
• PETERSEN , I. R. , 1987 , A stabilization algorithm for a class of uncertain linear systems . Systems and Control Letters , 8 , 351 – 358 .
   Web of Science ®Google Scholar
• PETERSEN , I. R. , and HOLLOT , C. V. , 1986 , A Riccati equation approach to the stabilization of uncertain linear systems . Automatica , 22 , 397 – 411 .
   Web of Science ®Google Scholar
• SCHMITENDORF , W. E. , 1988 , Designing stabilization controllers for uncertain systems using the Riccati equation approach . IEEE Transactions on Automatic Control , 33 , 376 – 379 .
   Google Scholar