Stability of nonlinear dynamical system motion under constantly acting perturbations

Stability of Nonlinear Systems under Constantly Acting Perturbations 273

Stability Properties of Differential Systems under Constantly Acting Perturbations

In this article, we find stability criteria for perturbed differential systems, in terms of two measures. Our main tool is a definition of total stability based on two classes of perturbations.

stability and attraction domains of traffic equilibria in day-to-day dynamical system formulation

در این پژوهش مسئله واگذاری ترافیک را از دید سیستم های دینامیکی فرمول بندی می کنیم.فرض کرده ایم که همه فاکتورهای وابسته در طول زمان ثابت باشند و تعادل کاربر را از طریق فرایند منظم روزبه روز پیگیری کنیم.دینامیک ترافیک توسط یک نگاشت بازگشتی نشان داده می شود که تکامل سیستم در طول زمان را نشان می دهد.پایداری تعادل و دامنه جذب را توسط مطالعه ویژگی های توپولوژیکی تکامل سیستم تجزیه و تحلیل می کنیم.پاید...

Noise Perturbations of Nonlinear Dynamical

We investigate analytical methods to predict the long-time cumulative eects of noise perturbations on nonlinear dynamical systems. The study of such perturbations addresses the problem of the global stability of nonlinear systems with multiple coexisting attractors. Indeed small random perturbations can cause large excursions of the system from a nominal steady state, and hence induce transitio...

Stability of time-varying nonlinear switching systems under perturbations

Recently, switched systems have been found in many practical applications such as in communication network dynamics, robot manipulators, traffic management, etc. In this paper, we study the stability of time-varying linear switched systems under perturbations that satisfy linear growth condition, which is not available in current literature. By introducing a new Liao-type exponent for time-vary...