Input-to-state stability for a class of discrete-time nonlinear input-saturated switched descriptor systems with unstable subsystems
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This paper concerns the input-to-state stability (ISS) problems for a class of discrete-time nonlinear input-saturated switched descriptor systems (SDSs). An ISS criterion that only partial subsystems are exponentially stable is provided based on average dwell time method and discrete-time iterative algorithm. The proof difficulty is greatly decreased, and the switching controllers for the subsystems of the closed-loop SDSs are much simple and viable. Furthermore, the cost of the controllers is also greatly reduced. Finally, extensive simulation results are presented to illustrate the effectiveness of the developed method.
KeywordsSwitched descriptor system Input-to-state stability Input-saturated Discrete-time iterative algorithm Average dwell time
This work was partially supported by the National Natural Science Foundation of China under Grant 60974025, Shandong Province Natural Science Foundation under Grants ZR2015PE025 and ZR2012FL06, Shandong Province Higher Educational Science and Technology Program under Grants J16LB10 and J14LN52, and Weifang City Science and Technology Development Program under Grant 2014GX022.
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