The stability and stabilization of nonlinear, non-stationary mechanical systems

DOI10.1016/j.jappmathmech.2010.11.005zbMath1272.70090OpenAlexW2052681807MaRDI QIDQ370559

Alexander Arkad'evich Kosov, Alexander Yurjevich Aleksandrov

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/S0021892810001346

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20)

Related Items (6)

Stability analysis of mechanical systems with highly nonlinear positional forces under distributed delay ⋮ Stability analysis and synthesis of stabilizing controls for a class of nonlinear mechanical systems ⋮ Design of finite-/fixed-time ISS-Lyapunov functions for mechanical systems ⋮ On input‐to‐state stability Lyapunov functions for mechanical systems ⋮ Delay-independent stability of homogeneous systems ⋮ Analysis of stability and stabilization of nonlinear systems via decomposition

Cites Work

• On the asymptotic stability and instability of the zeroth solution of a non-autonomous system
• Topological dynamics of an ordinary differential equation
• Stability theory by Liapunov's direct method
• The stability of equilibrium of nonstationary systems
• Time-optimal control of an inverted pendulum in the feedback form
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