About quadratic stabilizability of generalized linear systems
作者： D Arzelier , J Bernussou , G Garcia , None
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摘要: The authors introduce the quadratic stabilizability concept for generalized linear systems. A sufficient and necessary condition its associated numerical procedure are given. Then, it is shown that extension to uncertain case not as easy in of a continuous system state-space form. However, based on programming derived via cutting plane technique. Some examples used show usefulness approach. >
sci-hub.se 参考文章(10)
F. L. Lewis, A survey of linear singular systems Circuits Systems and Signal Processing. ,vol. 5, pp. 3- 36 ,(1986) , 10.1007/BF01600184
L. Pandolfi, Controllability and stabilization for linear systems of algebraic and differential equations Journal of Optimization Theory and Applications. ,vol. 30, pp. 601- 620 ,(1980) , 10.1007/BF01686724
D. Owens, Dragutin Debeljkovic, On non-Liapunov stability of descrete descriptor systems conference on decision and control. ,vol. 25, pp. 2138- 2139 ,(1986) , 10.1109/CDC.1986.267440
LIYI DAI, Impulsive modes and causality in singular systems International Journal of Control. ,vol. 50, pp. 1267- 1281 ,(1989) , 10.1080/00207178908953432
G. Verghese, B. Levy, T. Kailath, A generalized state-space for singular systems IEEE Transactions on Automatic Control. ,vol. 26, pp. 811- 831 ,(1981) , 10.1109/TAC.1981.1102763
J. Bernussou, P.L.D. Peres, J.C. Geromel, a linear programming oriented procedure for quadratic stabilization of uncertain systems Systems & Control Letters. ,vol. 13, pp. 65- 72 ,(1989) , 10.1016/0167-6911(89)90022-4
DANIEL COBB, Feedback and pole placement in descriptor variable Systems International Journal of Control. ,vol. 33, pp. 1135- 1146 ,(1981) , 10.1080/00207178108922981
B. R. Barmish, Necessary and sufficient conditions for quadratic stabilizability of an uncertain system Journal of Optimization Theory and Applications. ,vol. 46, pp. 399- 408 ,(1985) , 10.1007/BF00939145
B. Barmish, Stabilization of uncertain systems via linear control IEEE Transactions on Automatic Control. ,vol. 28, pp. 848- 850 ,(1983) , 10.1109/TAC.1983.1103324
F. L. Lewis, Preliminary Notes on Optimal Control for Singular Systems conference on decision and control. pp. 266- 272 ,(1985)