Research ArticleFurther improvement on delay-range-dependent stability results for linear systems with interval time-varying delays

- This paper has presented an improved delay-range-dependent stability criterion for linear systems with interval time-varying delays.
- The advantage of the criterion lies in its simplicity and less conservatism.
- Proposed criteria are computationally attractive, providing less conservative results than the existing ones.
- Examples are also given to further illustrate the reduced conservatism of the stability result.

This paper provides an improved delay-range-dependent stability criterion for linear systems with interval time-varying delays. No model transformation and no slack matrix variable are introduced. Furthermore, overly bounding for some cross term is avoided. The resulting criterion has advantages over some previous ones in that it involves fewer matrix variables but has less conservatism, which is established theoretically. Finally, two numerical examples are given to show the effectiveness of the proposed results.