New stability criteria for systems with an interval time-varying delay

Abstract

This paper studies the stability analysis of systems with an interval time-varying delay. First, some new integral inequalities are introduced. Second, based on these new integral inequalities, some less conservative stability criteria are introduced in terms of the linear matrix inequalities. Finally, the merits of the stability criteria are shown via two numerical examples.

Keywords

• integral inequality
• time-varying delay
• stability
• linear matrix inequality (lmi)