Title :
Lyapunov stability analysis of linear time-invariant systems: Convex optimization approach
Author :
Wang, Jianhong ; Zhang, Zhenjuan ; Gao, Yanbo ; Lu, Guoping
Author_Institution :
Sch. of Sci., Nantong Univ., Nantong
Abstract :
Theorem of alternatives based on the separation theorems are proposed to provide systematic and unified proofs of necessary and sufficient conditions for solvability of Lyapunov inequality on P. As an application of the theorem of alternatives, we investigate the conditions for the existence of feasible solutions to Lyapunov inequality on P and obtain a restatement of the celebrated Lyapunov stability theorem for linear time-invariant systems.
Keywords :
Lyapunov methods; computability; convex programming; linear systems; stability; Lyapunov stability analysis; convex optimization approach; linear time-invariant system; separation theorem; solvability; Automation; Control theory; Eigenvalues and eigenfunctions; Intelligent control; Linear matrix inequalities; Lyapunov method; Optimal control; Stochastic processes; Sufficient conditions; Vectors; Convex optimization; Linear matrix inequality; Linear time-invariant systems; Lyapunov stability; Theorem of alternatives;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4593586
