Title :
On stabilization of continuous-time and discrete-time symmetric bilinear systems by constant controls
Author_Institution :
Sch. of Autom. Sci. & Electr. Eng., Beihang Univ., Beijing, China
Abstract :
In this paper, the stabilization problems of two-dimensional symmetric bilinear systems by constant controls are considered. Both the continuous-time case and the discrete-time case are studied and necessary and sufficient conditions for stabilization of the systems are presented. It is shown that if the control is multiple then the continuous-time system is stabilizable if and only if its discrete-time counterpart is stabilizable.
Keywords :
bilinear systems; continuous time systems; discrete time systems; matrix algebra; stability; constant controls; continuous-time symmetric bilinear systems; discrete-time symmetric bilinear systems; stabilization problems; two-dimensional symmetric bilinear systems; Controllability; Educational institutions; Eigenvalues and eigenfunctions; Linear systems; Nonlinear systems; Switches; Bilinear systems; Constant controls; Stabilization;
Conference_Titel :
Control Conference (ASCC), 2013 9th Asian
Conference_Location :
Istanbul
Print_ISBN :
978-1-4673-5767-8
DOI :
10.1109/ASCC.2013.6606375
