Title :
On quadratic stability of dynamic interval systems
Author :
Mao, Wei-Jie ; Chu, Jian
Author_Institution :
Nat. Lab of Ind. Control Technol., Zhejiang Univ., Hangzhou, China
Abstract :
This paper presents a necessary and sufficient condition for the quadratic stability of dynamic interval systems. The result is obtained in terms of linear matrix inequality (LMI) and extended to cover robust stability of linear systems with uncertain parameters. With the powerful LMI toolbox, it is very convenient to solve this problem. The illustrative examples show that this method is effective and less conservative to check the robust stability of interval systems.
Keywords :
linear systems; matrix algebra; robust control; stability; dynamic interval systems; linear matrix inequality; linear systems; necessary and sufficient condition; quadratic stability; robust stability; uncertain parameters; Industrial control; Linear matrix inequalities; Linear systems; Paper technology; Polynomials; Process control; Robust stability; Robustness; Sufficient conditions; Symmetric matrices;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1024542