Title :
Passive control for uncertain discrete singular bilinear systems
Author :
Zhang Xiu-hua ; Zhang Qing-ling
Author_Institution :
Sch. of Sci., Northeastern Univ., Shenyang, China
Abstract :
The passive control problem for a class of uncertain discrete singular bilinear systems is investigated. By means of generalized Lyapunov function and generalized Riccati inequality and linear matrix inequality, a sufficient condition is derived such that a prescribed discrete singular bilinear systems with time-delay is passive and its zero solution is asymptotically stable.By making use of the method of Norm-bounded, the bilinear items was manipulated ingeniously .Finally, an example is given to illustrate the validity of the obtained results.
Keywords :
Lyapunov methods; Riccati equations; asymptotic stability; bilinear systems; delays; discrete time systems; linear matrix inequalities; nonlinear control systems; uncertain systems; asymptotic stability; generalized Lyapunov function; generalized Riccati inequality; linear matrix inequality; norm-bounded method; passive control problem; passive uncertain discrete singular bilinear systems; sufficient condition; time-delay; Control systems; Educational institutions; Linear matrix inequalities; Lyapunov methods; Nonlinear systems; Sufficient conditions; Uncertainty; bilinear; discrete; passive; robust; singular; uncertain;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561631
