Institute for Systems Research

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Author: search.filters.author.Ho-Mock-Qai, BertinaSubject: search.filters.subject.linear systems

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    Time-Varying simultaneous stabilization, Part II. Finite families of nonlinear systems
    (1996) Ho-Mock-Qai, Bertina; Dayawansa, Wijesuriya P.; ISR
    In this paper, we derive sufficient conditions for the existence of a continuous time-varying feedback law that simultaneously locally or globally asymptotically stabilizes a finite family of nonlinear systems. We then focus on a class of pairs of nonlinear homogeneous systems, and by using the previous sufficient conditions, we establish their asymptotic stabilizability by means of time-varying feedback.
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    Time-Varying Simultaneous stabilization, Part I. Countable families of LTI systems
    (1996) Ho-Mock-Qai, Bertina; ISR
    In this paper, we introduce a new method that enables us to prove that given any finite family of LTI (linear time-invariant) systems, there exists a continuous time varying feedback law that simultaneously globally exponentially stabilizes this family. We then derive sufficient conditions for the simultaneous asymptotic stabilizability of countably infinite families of LTI systems. In both cases we provide simple design procedures as well as explicit controls.
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    Non-Smooth Robust Stabilization of a Family of Linear Systems in the Plane
    (1996) Ho-Mock-Qai, Bertina; Dayawansa, Wijesuriya P.; ISR
    In this paper, we use merely continuous feedback to robustly stabilize a class of parameterized family of linear systems in the plane. We introduce a new interpolation method that enables us to construct a robust stabilizer for the entire family of systems, by using two feedback laws that robustly stabilize two particular sub-families.