Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems

作者:Gao X*; Teo K L; Duan G R; Zhang X
来源:IET Control Theory and Applications, 2011, 5(5): 713-720.
DOI:10.1049/iet-cta.2010.0145

摘要

This study investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method.