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

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

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...

  • 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.

Bin Zhou - One of the best experts on this subject based on the ideXlab platform.

  • on Asymptotic Stability of linear time varying systems
    Automatica, 2016
    Co-Authors: Bin Zhou
    Abstract:

    This paper is concerned with Asymptotic Stability analysis of linear time-varying (LTV) systems. With the help of the notion of stable functions, some differential Lyapunov inequalities (DLIs) based necessary and sufficient conditions are derived for testing Asymptotic Stability, exponential Stability and uniformly exponential Stability of general LTV systems. With the help of the concept of (non-uniformly) exponential Stability, a class of upper-triangular LTV systems is carefully investigated based on the developed Stability analysis approaches. A couple of numerical examples with some of them borrowed from the literature is provided to illustrate the effectiveness of the proposed theoretical results.

Liu Yu-zhong - One of the best experts on this subject based on the ideXlab platform.