Finite-time bounded and boundedness of networked control systems with random time delay and packet dropout

This paper focuses on the problem of finite-time control for a class of networked control system (NCS) in presence of random time delay and packet dropout, and provides some main results which are sufficient conditions for finite-time bounded via state feedback. Firstly, the NCS with random time delay and packet dropout are modeled as linear systems by using certainty equivalence property and random process. Secondly, the sufficient conditions for finite-time boundedness and stabilization of the underlying systems, based on finite-time stability theory combined with linear matrix inequalities (LMIs) theory, are derived in form of linear matrix inequalities (LMIs). Finally, a numerical example is provided to illustrate the effectiveness of the proposed methods.