Opportunity-awaiting control strategy on rectangular target area

In this paper, we consider state feedback control of awaiting time and residence time of a class of linear time-invariant stochastic system with the constraint of circular pole. The idea of this control policy is to find a subset described with linear inequalities in the area characterizing desired indices on awaiting time and residence time in terms of non-linear inequalities, and then change the problem under consideration to one which can be solved via LMI technique. The method of control design provided in this paper makes it possible to seek one opportunity awaiting control law under constraints of D-stabilization, H_∞ rejection bound via LMI method.