Stabilization and destabilization of hybrid systems of stochastic differential equations

• DOI: 10.1016/j.automatica.2006.09.006
• Publication Date: 2006-12-09T07:14:56Z
• Authors: Xuerong Mao; G. George Yin; Chenggui Yuan
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

This paper aims to determine whether or not a stochastic feedback control can stabilize or destabilize a given nonlinear hybrid system. New methods are developed and sufficient conditions on the stability and instability for hybrid stochastic differential equations are provided. These results are then used to examine stochastic stabilization and destabilization.