Further improvement on delay-range-dependent robust absolute stability for Lur׳e uncertain systems with interval time-varying delays

- This paper has presented delay-range-dependent robust absolute stability criteria for Lur׳e uncertain systems with interval time-varying delay.
- An integral inequality approach and delayed decomposition approach are combined to investigate the problem.
- The proposed criteria can also lead to less conservative stability conditions with a lower number of variables.
- Three well-known numerical examples are given to show the effectiveness of the proposed stability criteria.

This paper investigates improved delay-range-dependent robust absolute stability criteria for a class of Lur׳e uncertain systems with interval time-varying delays. By using delayed decomposition approach (DDA), a tighter upper bound of the derivative of Lyapunov functional can be obtained, and thus the proposed criteria give results with less conservatism compared with some previous ones. An integral inequality approach (IIA) is proposed to reduce the conservativeness in computing the allowable maximum admissible upper bound (MAUB) of the time-delay. The developed stability condition is expressed in terms of linear matrix inequality (LMI) that manipulates fewer decision variables and requires reduced computational load. Finally, three numerical examples are given to show the effectiveness of the proposed stability criteria.