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Global asymptotic stabilization for a class of delayed bilinear descriptor systems is first studied in this paper. New approaches are developed by means of the LaSalle invariant principle for delayed nonlinear systems. A new set of sufficient condition is first derived via the continuous static state feedback, the feedback not only guarantees the existence and uniqueness of solution but also the global...
This paper discusses global asymptotic stabilization of a class of discrete-time bilinear descriptor systems. By means of LaSalle invariant principle and the implicit function theorem, a sufficient condition is presented to guarantee the uniqueness and existence of solution and the global asymptotic stability of the resulting closed-loop systems simultaneously. Finally, the effectiveness of the proposed...
This paper considers globally asymptotic stabilization for a class of singular bilinear systems. By the system matrices a sufficient condition for the globally asymptotic stabilization is presented and under the condition continuous static state feedback and dynamic output feedback controllers are constructed, respectively. By means of LaSalle invariant principle and the separation principle for singular...
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