On quadratic stability and stabilization of discrete-time interval systems

This paper presents necessary and sufficient conditions for the quadratic stability and stabilization of dynamic discrete-time interval systems. The results are obtained in terms of linear matrix inequality (LMI). With the powerful LMI toolbox, it is very convenient to solve these problems. The illustrative examples show that this method is effective to check the robust stability and to design the stabilizing controller for dynamic discrete-time interval systems.

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