Title :
Stabilization of Discrete-time Bilinear Descriptor Systems
Author :
Lu, Guoping ; Zhang, Xiaomei ; Tang, Hongji ; Zhou, Lei
Author_Institution :
Sch. of Electr. Eng., Nantong Univ.
Abstract :
This paper discusses global asymptotic stabilization of a class of discrete-time bilinear descriptor systems. By means of LaSalle invariant principle and the implicit function theorem, a sufficient condition is presented to guarantee the uniqueness and existence of solution and the global asymptotic stability of the resulting closed-loop systems simultaneously. Finally, the effectiveness of the proposed approach is illustrated by a numerical example
Keywords :
asymptotic stability; bilinear systems; closed loop systems; discrete time systems; state feedback; LaSalle invariant principle; closed-loop systems; discrete-time bilinear descriptor systems; global asymptotic stabilization; implicit function theorem; state feedback; Asymptotic stability; Biological system modeling; Closed loop systems; Control systems; Matrix decomposition; Nonlinear systems; Satellite broadcasting; State feedback; Sufficient conditions; Systems engineering and theory; Discrete-time bilinear descriptor systems; global asymptotic stabilization; state feedback;
Conference_Titel :
Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on
Conference_Location :
Dalian
Print_ISBN :
1-4244-0332-4
DOI :
10.1109/WCICA.2006.1712293
