Dynamic stability of a nonlinear multiple-nanobeam system

A Criterion for Stability of Nonlinear Time-Varying Dynamic System

In this paper, based on the assumption that both the leading principal submatrix of r-order and its complementary submatrix in A(t) have eigenvalues with only negative real parts, we establish a criterion for the stability of a class of nonlinear time-varying dynamic system dx/dt = A(t)x+ f(t, x). Also a feasible method for decomposition and aggregation of large-scale system is provided. Moreov...

Lyapunov stability of abstract nonlinear dynamic system in Banach space

Real Time Dynamic Simulation of Power System Using Multiple Microcomputers

Recent developments in the design and manufacture of microcomputers together with improved simulation techniques make it possible to achieve the speed and accuracy required for the dynamic simulation of power systems in real time. This paper presents some experimental results and outlines new ideas on hardware architecture, mathematical algorithms and software development for this purpose. The ...

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...

Stability of the Modified Euler Method for Nonlinear Dynamic Analysis of TLP

Efficiency of numerical methods is an important problem in dynamic nonlinear analyses. It is possible to use of numerical methods such as beta-Newmark in order to investigate the structural response behavior of the dynamic systems under random sea wave loads but because of necessity to analysis the offshore systems for extensive time to fatigue study it is important to use of simple stable meth...