Stabilization of Unstable Periodic Solutions for Inverted Pendulum Under Hysteretic Control: The Magnitskii Approach

DOI10.1007/978-3-030-25261-8_36zbMath1447.93264OpenAlexW2972169566MaRDI QIDQ5115135

Igor N. Ishchuk, M. E. Semenov, Zainib Hatif Abbas, Peter A. Meleshenko, Valery N. Tyapkin

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-25261-8_36

zbMATH Keywords

stabilizationinverted pendulumhysteretic controlunstable periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control of mechanical systems (70Q05)

Cites Work

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• Memory and adaptive behavior in population dynamics: anti-predator behavior as a case study
• Resonance in Preisach systems
• Swinging up a pendulum by energy control
• Oscillations of a simple pendulum with extremely large amplitudes
• Memory Effects in Population Dynamics : Spread of Infectious Disease as a Case Study

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