Stability of Continuous Dynamic Systems With Parametric Excitation

Author:

Dickerson J. R.1,Caughey T. K.2

Affiliation:

1. Engineering Mechanics Department, University of Texas, Austin, Texas

2. California Institute of Technology, Pasadena, Calif.

Abstract

A Lyapunov-type approach is used to establish sufficient conditions guaranteeing the asymptotic stability of a class of partial differential equations with parametric excitation.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Qualitative Flutter Analysis of Composite Plates;Composite Structures 3;1985

2. Infinite determinant method for stability analysis of periodic systems;IEE Proceedings D Control Theory and Applications;1984

3. Stability of nonautonomous second-order partial differential equations;Journal of Mathematical Analysis and Applications;1978-03

4. Existence, uniqueness and stability of solutions of a class of nonlinear partial differential equations;Journal of Mathematical Analysis and Applications;1975-07

5. Lagrangian formalism for vibrations in some damped continuous systems;Journal of Sound and Vibration;1974-10

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