Finite-Time Boundedness Control of Time-Varying Descriptor Systems

Abstract EN

This paper mainly studies a control problem of finite-time boundedness of time-varying descriptor systems.

Firstly, a sufficient and necessary condition of finite-time stability is given, then a sufficient condition of finite-time boundedness for time-varying descriptor systems is given.

Secondly, we analyze the finite-time boundedness control problem and design the finite-time state feedback controller; the controller is given based on LMIs for time-varying descriptor systems and time-varying uncertain descriptor systems, respectively.

Finally, a numerical example is given to prove the effectiveness of the method.