Convex Polyhedron Method to Stability of Continuous Systems with Two Additive Time-Varying Delay Components. (26th January 2012)

• Record Type: Journal Article
• Authors: Li, Tiejun; Tian, Junkang
• Other Names: Lin Chong Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-01-26
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/689820
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : This paper is concerned with delay-dependent stability for continuous systems with two additive time-varying delay components. By constructing a new class of Lyapunov functional and using a new convex polyhedron method, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. The obtained stability criterion is less conservative than some existing ones. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.