Small amplitude quasi-periodic solutions for the forced radial vibrations of cylindrical shells with incompressible materials

Chen, Yufei; Liu, Qihuai; Su, Heng; Zhang, Wentao

doi:10.1016/j.cnsns.2022.106310

Cited by 4 publications

(1 citation statement)

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“…Such nonlocal differential equations, involving all three reflection points (−x, t), (x, −t), and (−x, −t), are integrable, namely, they possess infinitely many symmetries and conservation laws. It would be particularly interesting and helpful to remark on whether the presented methodology could be applied to establishing stability of soliton solutions to such nonlocal equations or other stability [4,17].…”

Section: Discussionmentioning

confidence: 99%

Stability of port-Hamiltonian systems with mixed time delays subject to input saturation

Chen,

Liu

2023

NAMC

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In this paper, we investigate the stability of port-Hamiltonian systems with mixed time-varying delays as well as input saturation. Three types of time delays, including state delay, input delay, and output delay, are all assumed to be bounded. By introducing the output feedback control law and utilizing serval Lyapunov–Krasovskii functionals, we present three delay-dependent stability criteria in terms of the linear matrix inequality. Meanwhile, we use Wirtinger’s inequality, constraint conditions, and Lyapunov–Krasovskii functionals of triple and quadruple integral form to obtain less conservative results. Some numerical examples demonstrate and support our results.

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Section: Discussionmentioning

confidence: 99%