非线性时滞机械系统Lyapunov-Krasovskii泛函的构造

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI:10.1109/STAB49150.2020.9140569

A. Aleksandrov

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引用次数: 0

摘要

针对一类具有时滞的非线性机械系统，提出了Lyapunov-Krasovskii泛函的新构造。利用这些泛函，得到了平衡位置和瞬态时间估计的稳定性条件，以及相应的具有切换力场的系统的稳定性条件。

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Construction of Lyapunov–Krasovskii Functionals for Nonlinear Mechanical Systems with Delay

New constructions of Lyapunov–Krasovskii functionals are proposed for certain classes of nonlinear mechanical systems with delay. With the aid of these functionals, stability conditions of equilibrium positions and estimates of transient times, as well as stability conditions for corresponding systems with switching force fields are obtained.

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2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)

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