Abstract:

The problem of robust stability analysis for a class of linear uncertain systems with interval timevarying delay is studied. In order to develop a less conservative stability condition, a LyapunovKrasovskii functional comprising quadrupleintegral terms is introduced. A novel delay dependent stability criterion in terms of linear matrix inequalities is given by using a new delaypartitioning approach and reciprocally convex combination technique, which is derived by a new integral inequality method. Compared with the existing literature, this criterion can extend the maximum allowable delay bound for the stability of the system, and achieve a good balance between the conservatism of conclusions and computational efficiency. Finally, three wellknown numerical comparative examples are given to demonstrate the superiority of the proposed approach in reducing the conservation of conclusion.