This paper addresses stochastic hybrid systems,particularly switched and impulsive systems.The systems under consideration are linear and non-linear continuous with/without time delay,and with/without external force.T...This paper addresses stochastic hybrid systems,particularly switched and impulsive systems.The systems under consideration are linear and non-linear continuous with/without time delay,and with/without external force.The importance of using such systems and the discrepancies between hybrid and non-hybrid systems are presented.The objective of this paper is to survey recent developments on some of the important qualitative properties such as stability,stabilisation,input-to-state stability and state estimation along with the challenges that might arise when taking hybridness into account.These properties are mainly developed by using the direct method of Lyapunov or Lyapunov-Razumikhin if time delay is taken into account.Several examples with simulations are presented to further clarify the results introduced in this paper.展开更多
基金supported by the Natural Sciences and Engineering Research Council of Canada(NSERC).
文摘This paper addresses stochastic hybrid systems,particularly switched and impulsive systems.The systems under consideration are linear and non-linear continuous with/without time delay,and with/without external force.The importance of using such systems and the discrepancies between hybrid and non-hybrid systems are presented.The objective of this paper is to survey recent developments on some of the important qualitative properties such as stability,stabilisation,input-to-state stability and state estimation along with the challenges that might arise when taking hybridness into account.These properties are mainly developed by using the direct method of Lyapunov or Lyapunov-Razumikhin if time delay is taken into account.Several examples with simulations are presented to further clarify the results introduced in this paper.
