... Liapunov functional method, almost sure asymptotic stability conditions are obtained as the function of stochastic process variance, damping coefficient, and geometric and physical parameters of the band. Numerical calculations are performed for infinite mode and compared with known results. Almost sure...

... processes asymptotic stability Lyapunov methods exponential distribution Dynamic stability of elastic systems under parametric stochastic excitation has been a subject of research for a few decades. Most of the papers on stochastic stability that have appeared deal with the systems under Gaussian...

...D. Q. Cao; Y. M. Ge; Y. R. Yang The asymptotic stability of nonclassically damped systems with nonlinear uncertainties is addressed using the Lyapunov approach. Bounds on nonlinear perturbations that maintain the stability of an asymptotically stable, linear multi-degree-of-freedom system...

...K. M. Liew, Fellow ASME, Professor; X. B. Liu This paper examines the almost-sure asymptotic stability condition of a linear multiplicative stochastic system, which is a linear part of a co-dimension two-bifurcation system that is on a three-dimensional central manifold and subjected to parametric...

... linear differential equations delay-differential systems delays control system analysis nonlinear control systems asymptotic stability large-scale systems multidimensional systems Delay differential equations (DDEs) are infinite-dimensional systems which find application in manufacturing...

...W. Q. Zhu, Professor; Z. L. Huang, Associate Professor A procedure for designing a feedback control to asymptotically stabilize with probability one quasi-integrable Hamiltonian system is proposed. First, a set of averaged Ito^ stochastic differential equations for controlled first integrals...

... after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 24 Sept 1999 30 Jan 2000 buckling asymptotic stability bending bifurcation deformation stress analysis metals forming processes Here and subsequently Greek indices range from 1...

..., Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 24 Sept 1999 30 Jan 2000 asymptotic stability buckling plastic deformation...