Title :
Stability of Linear Systems with Time Delay: A New Delay Fractioning Approach
Author :
Min, Zheng ; Shumin, Fei
Author_Institution :
Southeast Univ., Nanjing
Abstract :
This paper investigates the stability of linear systems with time delay.Both constant and varying delay cases are considered respectively. The criteria of stability is derived based on a new type of Lyapunov-Krasovskii functional and is formulated as feasibility problems of linear matrix inequalities. Numerical examples are provided to illustrate the effectiveness of our main results.
Keywords :
Lyapunov methods; delays; linear matrix inequalities; linear systems; stability; Lyapunov-Krasovskii functional; delay fractioning approach; linear matrix inequalities; linear systems stability; time delay; varying delay; Automation; Control systems; Delay effects; Delay systems; Educational institutions; Linear systems; Stability; Symmetric matrices; Time varying systems; Upper bound; Delay Fractioning; LMI; Lyapunov Functional; Time-varying Delay;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4346772
