Finite Time Stability Analysis Of Singular Switched Systems

This dissertation discusses the finite-time stability problem of linear singular switched systems with finite-time unstable subsystems.At first,by using dynamic decomposition technique,the original singular switched systems can be transformed into equivalent one that is a reduced-order switched normal system.Secondly,we use the mode-dependent average dwell time switching signal(MDADT)to give different constraints to these two cases of subsystems.In the continuous state,the sufficient condition for this system to achieve finite-time stability is proposed;and under the influence of disturbance,the new sufficient conditions are proposed to ensure that this system is finite-time bounded or finitetime stabilization.In the discrete state,we give sufficient conditions for this system to achieve finite-time stability and finite-time bounded.Finally,numerical examples are given to verify the validity of conclusion by solving the linear matrix inequality.Furthermore,tighter bounds on average dwell time can be obtained than existing documents.