Title :
Lyapunov Equations with Positive Definite Solutions for Continuous- and Discrete-time Descriptor Systems
Author :
Wang, Qingyang ; Zhang, QingLing ; Wang, Qing
Author_Institution :
South China Univ. of Technol., Guangzhou
fDate :
May 30 2007-June 1 2007
Abstract :
Lyapunov equations with positive definite solutions are presented to guarantee the asymptotic stability for continuous-and discrete-time descriptor systems. They hold without impulse free assumption for continuous-time descriptor system and causal assumption for discrete-time descriptor systems. The solutions of proposed Lyapunov equations can be obtained by Matlab directly.
Keywords :
Lyapunov methods; asymptotic stability; continuous time systems; discrete time systems; Lyapunov equations; asymptotic stability; causal assumption; continuous-time descriptor systems; discrete-time descriptor systems; Asymptotic stability; Automation; Control systems; Educational institutions; Equations; Linear matrix inequalities; Power system economics; Power system modeling; Power system stability; Symmetric matrices;
Conference_Titel :
Control and Automation, 2007. ICCA 2007. IEEE International Conference on
Conference_Location :
Guangzhou
Print_ISBN :
978-1-4244-0818-4
Electronic_ISBN :
978-1-4244-0818-4
DOI :
10.1109/ICCA.2007.4376441
