Analysis of finite-time convergence by the method of Lyapunov functions in systems with second-order sliding modes

DOI10.1016/j.jappmathmech.2011.07.006zbMath1272.70145OpenAlexW2105709258MaRDI QIDQ370653

A. E. Polyakov, V. V. Strygin, Alexander S. Poznyak

Publication date: 19 September 2013

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021892811000815

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (8)

Stability notions and Lyapunov functions for sliding mode control systems ⋮ On homogeneity and its application in sliding mode control ⋮ Finite-time tracking using sliding mode control ⋮ Korobov’s Controllability Function as Motion Time: Extension of the Solution Set of the Synthesis Problem ⋮ Finite-time robust-tracking and model-following controller for uncertain dynamical systems ⋮ Dr. Alexander Semionovich Poznyak Gorbatch: Biography ⋮ Time‐varying feedback for stabilization in prescribed finite time ⋮ Generalised multivariable supertwisting algorithm

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• Reaching Time Estimation for “Super-Twisting” Second Order Sliding Mode Controller via Lyapunov Function Designing
• Analysis of chattering in continuous sliding-mode controllers
• Second-order sliding-mode observer for mechanical systems
• Liapunov functions and stability in control theory

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