H_∞ Control For Linear Systems With Interval Time-varying Delays Input

With the rapid development of science, the research on the ï¿¥H control of linear delay systems has important theoretical significance. In this article, by constructing a proper Lyapunov functional,free weighting matrix and inequality techniques, the problem of the ï¿¥H control for linear systems with interval time-varying in input have been further discussed. The main contents are as follows:1 The problem of ï¿¥H control for linear systems with interval time-varying in input has been discussed. Firstly, a proper Lyapunov functional has been adopted. Then, the cross term brought about by Lyapunov functional derivation has been handeled by introducing the free weighting matrix and inequalities technologies. Finally, we give a method for the existence of a memoryless state feedback ï¿¥H controller that ensures asymptotic stability and a prescribed ï¿¥H performance level. Numerical example proved the effectiveness of the proposed method.2 By the same method as the last chapter, the problem of robust ï¿¥H control for linear systems with interval time-varying in input has been discussed. Finally, numerical example shows the effectiveness of the results.