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Controllability and quadratic stability quadratic stabilization of discrete-time interval systems – an LMI approach. (English) Zbl 1113.93017
Summary: This paper presents necessary and sufficient conditions for discrete-time interval systems to be quadratically stable or quadratically stabilizable, and sufficient conditions for discrete-time interval systems to be controllable. All the results are obtained in terms of linear matrix inequality (LMI). With the LMI toolbox, the problems can be conveniently solved. Illustrative numerical examples show that the results are effective and less conservative to check the robust controllability and stability and to design the stabilizing controller for discrete-time interval systems.

MSC:
93B05 Controllability
93D15 Stabilization of systems by feedback
93C55 Discrete-time control/observation systems
Software:
LMI toolbox
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