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Lyapunov Stability Theory

2014
Basic concepts for the Lyapunov stability are introduced. Conditions are obtained for the stability of linear equations with constant, periodic, and general variable coefficients. Linearization and Lyapunov functions are used to deal with nonlinear stability problems.
openaire   +1 more source

Lyapunov Stability Tests for Linear Time-Delay Systems

Annual Reviews in Control, 2022
Alexey Egorov   +2 more
exaly  

Lyapunov Stability Theory

2018
Stability of nonlinear systems are discussed in this chapter. Lyapunov stability, asymptotic stability, and exponential stability of an equilibrium point of a nonlinear system are defined. The Lyapunov’s direct method is introduced as an indispensable tool for analyzing stability of nonlinear systems.
openaire   +1 more source

On the Lyapunov Stability Criteria

Journal of the Society for Industrial and Applied Mathematics, 1965
openaire   +1 more source

Lyapunov stability testing

1995
The second or direct method of Lyapunov is entirely different from pole analysis in philosophy, nature, and detail, although there are a few overlaps for linear time-invariant systems.
openaire   +1 more source

A Fuzzy Lyapunov Function Method to Stability Analysis of Fractional-Order T–S Fuzzy Systems

IEEE Transactions on Fuzzy Systems, 2022
Zhanshan Wang, Xiaofei Fan
exaly  

Neural Networks Based Lyapunov Functions for Transient Stability Analysis and Assessment of Power Systems

IEEE Transactions on Industry Applications, 2023
Tong Wang, Xiaotong Wang
exaly  

Large Signal Lyapunov-Based Stability Studies in Microgrids: A Review

IEEE Transactions on Smart Grid, 2017
Mahmoud Kabalan, Pritpal Singh
exaly  

Lyapunov-Based Sufficient Conditions for Exponential Stability in Hybrid Systems

IEEE Transactions on Automatic Control, 2013
Fulvio Forni   +2 more
exaly  

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