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Asymptotic Stability

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A. Stamati – One of the best experts on this subject based on the ideXlab platform.

  • Averaging Criteria for Asymptotic Stability of Time-Varying Systems
    IEEE Transactions on Automatic Control, 2014
    Co-Authors: John Tsinias, A. Stamati

    Abstract:

    We establish averaging type sufficient conditions for local Asymptotic Stability for nonlinear time-varying systems. Our main result is based on an extension of the averaging methodology employed in a recent paper by Tsinias and Stamati (published in the same journal), dealing with Asymptotic Stability for “slow” time-varying systems.

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John Tsinias – One of the best experts on this subject based on the ideXlab platform.

  • Averaging Criteria for Asymptotic Stability of Time-Varying Systems
    IEEE Transactions on Automatic Control, 2014
    Co-Authors: John Tsinias, A. Stamati

    Abstract:

    We establish averaging type sufficient conditions for local Asymptotic Stability for nonlinear time-varying systems. Our main result is based on an extension of the averaging methodology employed in a recent paper by Tsinias and Stamati (published in the same journal), dealing with Asymptotic Stability for “slow” time-varying systems.

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Ljubomir T. Grujić – One of the best experts on this subject based on the ideXlab platform.

  • Time-varying continuous nonlinear systems: uniform Asymptotic Stability
    International Journal of Systems Science, 1995
    Co-Authors: Ljubomir T. Grujić

    Abstract:

    The framework of the presented research is a large class of time-varying nonlinear systems with continuous motions. The study of the uniform Asymptotic Stability of the zero equilibrium state developed here goes back to, and relies on, the very foundations of the Lyapunov Stability concept and the (second) Lyapunov method. Stability domains are first defined and examined. Then, their qualitative features are used to establish complete solutions to the problem of uniform Asymptotic Stability of the equilibrium for various subclasses of the systems. The solutions present conditions that are both necessary and sufficient for: (1) the uniform Asymptotic Stability, (2) an exact direct one-shot construction of a system Lyapunov function and (3) for a direct accurate one-shot determination of the Asymptotic Stability domain. In addition, the solutions establish a novel Lyapunov-method based approach to the Asymptotic Stability analysis. This enables an arbitrary selection of a function p(·) from a defined functi…

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  • New Lyapunov Method Based Methodology for Asymptotic Stability
    IFAC Proceedings Volumes, 1995
    Co-Authors: Ljubomir T. Grujić

    Abstract:

    Abstract A new Lyapunov method based methodolgy for testing Asymptotic Stability of the zero state of a nonlincar system results from new conditions that arc both necessary and sufficient for the Asymptotic Stability and which are established in the paper. Besides, the necessary and sufficient conditions are determined for both an exact construction of a system Lyapunov function and for a set to be the exact domain of the Asymptotic Stability.

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