考虑微分方程组 d(z)/d(t)=g(t,x) ，(t∈J)，(x∈S) 称它的特解Z(t)是稳定的，系指： (∀ε>0) (∀t∈J) (∃δ>0) (∀z | [z(0)-Z(0)]∈B(δ)) [(z(t)-Z(t))∈B(ε)] 若还有lim（t→∞） （z-Z）=0 则称特解Z(t)是渐进稳定的
...Asymptotic Stability, Penalty Methods, Triangular Elements. AMS subject classifications. 65L20, 65A7[gap=336]关键词。光谱法，渐近稳定性，罚函数法，三角元素。 AMS主题分类。
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... 发散不稳定性divergentin stability 渐近稳定性asymptoticst abiilty 中性稳定性二utralst ability ...
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In Chapter 4, For the two species periodic predator-prey system with impulse, we discuss the persistence , the existence and uniqueness of periodic solution, and the global asymptotic stability.
在第四章，利用比较方程，讨论含脉冲的捕食与食饵生态系统的持续生存性、周期解的存在唯一性和全局渐近稳定性。
参考来源 - 脉冲微分方程的渐近行为和周期解及其在种群生态学中的应用Chaotic Neural Networks,Asymptotical stability,Interval matrix,Chaos,Lyapunov function,Delay-differential equation,discrete Lyapunov functional,Global attractor,Morse composition,The limit sets,Periodic solutions.
混沌神经网络,渐近稳定性,区间矩阵,混沌,李雅谱诺夫函数,时滞微分方程,全局吸引子,Morse分解,极限集,周期解,离散Lyapunov泛函。
参考来源 - 瞬时混沌神经网络和一类时滞微分方程的动力学性质分析The main works of this thesis are as follows:1. With the idea of delay fractioning technique, the problem of stabiliy analysis for stochastic systems with time delays is investigated, including mean-square asymptotical stability or exponential stability in the mean square.
主要包括以下内容:1.利用时滞分割的思想研究随机时滞系统的稳定性问题,包括渐近稳定性和均方指数稳定性。
参考来源 - 随机时滞系统的稳定性分析与鲁棒控制器设计·2,447,543篇论文数据，部分数据来源于NoteExpress
同时，考虑了连续时间线性时不变系统的渐近稳定性问题。
In addition, we consider the asymptotic stability of continuous linear time-invariable systems.
同时，考虑了连续时间线性时不变系统的渐近稳定性问题。
In addition, the asymptotic stability of continuous linear time-invariable systems is studied.
它们可统一处理，滤波，平滑和预报问题，且具有渐近稳定性。
They can handle the prediction, filtering and smoothing problems in a unified frame work, and have asymptotic stability.
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