Automatica, Vol.48, No.5, 837-843, 2012
Global stabilization of semilinear systems using switching controls
This paper considers feedback stabilization of distributed semilinear systems using switching controls. The semilinear processes, together with the switched controllers, constitute a type of switched nonlinear system. Three kinds of stabilizabilities, namely weak, strong and exponential stabilizabilities. are investigated one by one. Sets of sufficient conditions are obtained for each case. A necessary condition for strong stabilizability is given. The stabilizing control is characterized using a minimization problem. Applications to parabolic and hyperbolic like equations are considered. (C) 2012 Elsevier Ltd. All rights reserved.