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Lyapunov Stability of Motion
TheLyapunov stabilityof motion main intent of this chapter is to introduce the essential mathematical tools for stability analysis of continuous...
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Lyapunov Conditions for Finite-time Stability of Stochastic Functional Systems
In this study, we consider the finite time stability (FTS) and finite time contractive stability (FTCS) of the stochastic functional systems. For the...
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Lyapunov stability of suspension bridges in turbulent flow
In the era of sleek, super slender suspension bridges, facing the issue of stability against dynamic wind actions represents an increasingly complex...
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4 Stability Analysis of Time-delay Systems: A Lyapunov Approach
This chapter is devoted to the stability problem of time-delay systems using time-domain approach. Some basic concepts of time-delay systems are...
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Lyapunov stability of the Basener–Ross system
In this paper, we consider the Basener–Ross system with time-dependent coefficients. Based on a stability criterion of damped equations combined with...
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Rotorcraft stability analysis using Lyapunov characteristic exponents estimated from multibody dynamics
Stability analysis of complex, nonlinear dynamical systems is a challenge. The use of Lyapunov Characteristic Exponents through a Jacobian-less...
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Mittag-Leffler stability and Lyapunov stability for a problem arising in porous media
A fractional order problem arising in porous media is considered. Well-posedness as well as stability are discussed. Mittag-Leffler stability is...
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Lyapunov Stability Analysis for Incommensurate Nabla Fractional Order Systems
This paper investigates the problem of stability analysis for a class of incommensurate nabla fractional order systems. In particular, both Caputo...
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Enhancing Stability in Autonomous Control Systems Through Fuzzy Gain Scheduling (FGS) and Lyapunov Function Analysis
Traditional control methods may struggle to adapt to the nonlinear and uncertain characteristics in Autonomous Vehicle Control. In recent years,...
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Dynamics of simplicial SEIRS epidemic model: global asymptotic stability and neural Lyapunov functions
The transmission of infectious diseases on a particular network is ubiquitous in the physical world. Here, we investigate the transmission mechanism...
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Predefined-Time Stability-Based Zeroing Neural Networks and Their Application in Solving the Lyapunov Equation
Lyapunov equation is extensively applied in engineering areas, and zeroing neural networks (ZNN) are very effective in solving this kind of equation....
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Prespecified-time control of switched neural networks: novel Lyapunov approach of prespecified-time stability
This article is concerned with the prespecified-time stability problem for a type of non-linear system with discontinuity. Based on arctangent...
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Examples of Autonomous Differential Systems with Contrasting Combinations of Lyapunov, Perron, and Upper-Limit Stability Measures
AbstractNew characteristics of differential systems are studied, which meaningfully develop the concepts of Lyapunov, Perron, and upper limit...
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A new Lyapunov–Krasovskii functional for stability analysis of delayed neural network
This paper is concerned with new approaches to the stability analysis of delayed neural networks. By modifying the non-orthogonal polynomial-based...
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Set theoretical pathologies in the problem of Lyapunov stability of singular points of vector fields
We prove that Lyapunov stability problem demonstrates pathologies even on the set-theoretical level. Namely, there exists an analytic one-parameter...
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Efficient numerical calculation of Lyapunov-exponents and stability assessment for quasi-periodic motions in nonlinear systems
Investigating the stability of stationary motions is a highly relevant aspect when characterizing dynamical systems. For equilibria and periodic...
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Criterion for Lyapunov stability of periodic Camassa–Holm equations
We study the Lyapunov stability of the periodic Camassa–Holm equation in terms of the periodic/anti-periodic eigenvalues and the associated spectral...
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Expanded Lyapunov-Krasovskii Functionals and Stability Analysis in Delayed Neural Networks via Augmented Zero Equality Approach
This paper proposes improved Lyapunov-Krasovskii functionals (LKFs) for asymptotic stability of generalized neural networks (GNNs) with time-varying...
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Performance and Stability Analysis of Enhanced Lyapunov Function and Predictive Voltage Control with Active Dam** for Single-Phase PV/Grid Electric Power System
As the world increasingly turns to renewable energy sources, the integration of solar photovoltaic (PV) systems into the grid has emerged as a...
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