Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5003953 | ISA Transactions | 2016 | 10 Pages |
â¢A continuous system with two additive time-varying delay components is concerned.â¢A novel Lyapunov-Krasovskii functional is constructed.â¢A delay-dependent stability criterion has been obtained by using the method of reciprocal convex and convex polyhedron.â¢This criterion is expressed as a set of linear matrix inequalities.
This paper deals with the problem of stability for continuous system with two additive time-varying delay components. By making full use of the information of the marginally delayed state, a novel Lyapunov-Krasovskii functional is constructed. When estimating the derivative of the Lyapunov-Krasovskii functional, we manage to get a fairly tighter upper bound by using the method of reciprocal convex and convex polyhedron. The obtained delay-dependent stability results are less conservative than some existing ones via numerical example comparisons. In addition, this criterion is expressed as a set of linear matrix inequalities, which can be readily tested by using the Matlab LMI toolbox. Finally, four examples are given to illustrate the effectiveness of the proposed method.