Suppressing chaos via Lyapunov--Krasovskii's method

DOI10.1016/J.CHAOS.2005.05.022zbMath1097.37052OpenAlexW1984360512WikidataQ107176906 ScholiaQ107176906MaRDI QIDQ813735

J. L. Kuang, Andrew Y. T. Leung, Paul A. Meehan

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.05.022

zbMATH Keywords

Lorenz systemlinear feedback controlchaotic oscillationsgyrostat equationsLK method

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems in classical and celestial mechanics (37N05) Motion of the gyroscope (70E05)

Related Items (6)

Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. I: Main models and solutions ⋮ Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. II: The heteroclinic chaos investigation ⋮ Chaos as the hub of systems dynamics. I: The attitude control of spacecraft by involving in the heteroclinic chaos ⋮ Adaptive control of chaotic systems with stochastic time varying unknown parameters ⋮ Robust control of chaos in Chua's circuit based on internal model principle ⋮ Evolution of the Chinese industry-university-research collaborative innovation system

Cites Work

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• Optimal control of a rotational motion of a gyrostat on circular orbit
• Control of chaotic instabilities in a spinning spacecraft with dissipation using Lyapunov's method.
• Application of stochastic control techniques to chaotic nonlinear systems
• Controlling chaos
• CHAOTIC ATTITUDE MOTION OF GYROSTAT SATELLITE VIA MELNIKOV METHOD

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