Stability analysis of non‐linear time‐varying systems by Lyapunov functions with indefinite derivatives
نویسندگان
چکیده
منابع مشابه
Extension of Higher Order Derivatives of Lyapunov Functions in Stability Analysis of Nonlinear Systems
The Lyapunov stability method is the most popular and applicable stability analysis tool of nonlinear dynamic systems. However, there are some bottlenecks in the Lyapunov method, such as need for negative definiteness of the Lyapunov function derivative in the direction of the system’s solutions. In this paper, we develop a new theorem to dispense the need for negative definite-ness of Lyapunov...
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The Lyapunov stability method is the most popular and applicable stability analysis tool of nonlinear dynamic systems. However, there are some bottlenecks in the Lyapunov method, such as need for negative definiteness of the Lyapunov function derivative in the direction of the system’s solutions. In this paper, we develop a new theorem to dispense the need for negative definite-ness of Lyapunov...
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-The Lyapunov stability analysis method for nonlinear dynamic systems needs a positive definite function whose time derivative is at least negative semi-definite in the direction of the system’s solutions. However merging the both properties in a single function is a challenging task. In this paper some linear combination of higher order derivatives of the Lyapunov function with non-negative co...
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ژورنال
عنوان ژورنال: IET Control Theory & Applications
سال: 2017
ISSN: 1751-8652,1751-8652
DOI: 10.1049/iet-cta.2016.1538