The delay-range-dependent robust stability analysis for 2-D state-delayed systems with uncertainty
This paper addresses the problems of delay-range-dependent stability and robust stability for uncertain two-dimensional (2-D) state-delayed systems in the Fornasini-Machesini second model, with the uncertainty assumed to be of norm bounded form. A generalized Lyapunov function candidate is introduced to prove the stability condition and some free-weighting matrices are used for less conservative conditions. The resulting stability and robust stability conditions in terms of linear matrix inequalities are delay-range-dependent. Some numerical examples are given to illustrate the method.
delay-range-dependent robust stability 2-d state-delayed systems linear matrix inequality