Automatica, Vol.44, No.4, 990-995, 2008
On hybrid control of a class of stochastic non-linear Markovian switching systems
In this paper, we address the problem of hybrid control for a class of stochastic non-linear Markovian switching systems. First, a hybrid controller is introduced for the systems. Then under some appropriate assumptions, the stabilization condition for the systems under pure impulsive control is given. Further under impulsive control, the output feedback stabilization problem of the systems is discussed and linear output feedback controllers are designed. Finally a numerical example is provided to illustrate the effectiveness of the proposed methods. (c) 2007 Elsevier Ltd. All rights reserved.
Keywords:stochastic non-linear systems;Markovian switching;hybrid control;impulsive control;output feedback