ODE – Autonomous Equations and Stability Autonomous Equation is an equation of the special form x′=f(x)(1) x'=f(x) \qquad (1) x′=f(x)(1) Note: 可以看出这个方程于函数x(t)x(t)x(t)的自变量ttt无关 Direct... 查看原文
Stability and stabilizationFeedback controlRössler dynamical systemThe paper discusses stabilizing effects of some time-delayed feedback controls applied to unstable steady states of an autonomous system of ordinary differential equations. First, we derive explicit delay-dependent stability conditions that ...
These primitives are based on autonomous nonlinear differential equations whose temporal evolution creates smooth kinematic control policies. Therefore they have the flexibility to capture both discrete and rhythmic movements. However, motion primitives overall are disconnected from the environment interactions....
This paper studies both the non-autonomous stochastic differential equations and stochastic differential delay equations with Markovian switching. A new result on almost sure stability of stochastic differential equations is given. Moreover, we provide new conditions for tightness and almost sure stability...
On Stability Criteria of Third Order Autonomous Nonlinear Differential Equations with Quasiderivatives, Advances in Intelligent Systems and Computing, vol. 240, Advances in System Science: In: Proceedings of the International Conference on System Science 2013 - b. m.: Switzerland: Springer International...
stabilitynon-autonomous stochastic differential equationsThis paper applies an explicit numerical method, i.e. the truncated Euler鈥揗aruyama (EM) scheme, to investigate numerical approximations for nonlinear and non-autonomous stochastic differential equations (SDEs). The explicit method reproduces ...
In this paper we consider a system of linear autonomous differential equations of neutral type with distributed delay. Sufficient conditions for the exponential stability of the zero solution of this system are given, estimates of solutions that characterize the exponential decrease at infinity are indic...
Bu¸se, Asymptotic stability and uniform boundedness with re- spect to parameters for discrete non-autonomous periodic systems, Journal of Difference Equations and Applications, (2011), to appear.D. Barbu and C. Bu¸se, Asymptotic stability and uniform boundedness with re- spect to parameters ...
网络释义 1. 自治的微分方程式 微生一&nbs... ...Autonomous Differential Equations(自治的微分方程式) Equilibria and Their Stability( 平衡点与其稳定性 ) ... www.math.scu.edu.tw|基于4个网页 2. 自守微分方程式 ...果在某时间内人口成长的条件改变了,我们可能不能用自守微分方程式(Autonomous Different...
2023, Advanced Differential EquationsYoussef N. Raffoul 5.4 Autonomous systems in the plane In most applications, the corresponding modeling systems can be written as two-dimensional autonomous systems in the form (5.4.1)x′=P(x,y),y′=Q(x,y), where P and Q are continuous on some subset...