Delay-Dependent Robust H∞ Filtering with an α-Stability Constraint for Uncertain Time-Delay Systems

This paper concerns the problem of robust H_infinfiltering with an alpha-stability constraint for uncertain systems with time-varying state delays, which are subject to norm-bounded noise and parameter uncertainties. Via the change-of-variable technique, we establish the sufficient conditions under which the desired filters exist in terms of a set of feasible linear matrix inequalities (LMIs). And the explicit expression of the filter is derived such that the filtering process remains asymptotic a-stability performance level for all admissible parameter uncertainties. An illustrative example is provided to demonstrate the validity of the theoretical results