Fixed-Time Gradient Dynamics With Time-Varying Coefficients for Continuous-Time Optimization

In this article, we propose fixed-time gradient dynamics with time-varying coefficients for continuous-time optimization. We first investigate the Lyapunov stability conditions that allow us to achieve fixed-time stability of the time-varying dynamical systems. We then use them to deal with continuo...

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Veröffentlicht in:	IEEE transactions on automatic control 2023-07, Vol.68 (7), p.4383-4390
Hauptverfasser:	Nguyen, Lien T., Yu, Xinghuo, Eberhard, Andrew, Li, Chaojie
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic stability Coefficients Continuous-time optimization Convergence Dynamic stability Dynamical systems Dynamics fixed-time convergence gradient-based method Lyapunov function Lyapunov methods Newton-like method Numerical stability Optimization stability Stability criteria time-varying systems
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