共查询到18条相似文献,搜索用时 156 毫秒
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讨论了一类带有非线性传染率的阶段结构传染病模型,得到了各类平衡点存在的阈值条件.借助Hurwitz判据、Lasalle不变集原理和Bendixson法则,找到了疾病消除平衡点,及在无因病死亡时,地方病平衡点全局渐近稳定的充要条件. 相似文献
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本文利用[1- 3]中的方法,讨论了一类具有滞后的中立型时变非线性控制系统(在闭环情况下)的镇定与次优控制问题.得到了滞后量与非线性项的估计范围. 相似文献
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具有扩散的n斑块生态系统的渐近周期解 总被引:1,自引:1,他引:0
研究了具有渐近周期系数的两种群扩散竞争系统,该系统由n个斑块组成,其中一种群可以在n个斑块之间扩散,而另一种群在一个斑块中,不能扩散.结合运用Liapunov函数,得到该系统唯一存在全局渐近稳定的渐近周期解的条件. 相似文献
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对于二阶非线性微分方程零解的全局渐近稳定性的研究,含一,二个非线性项的研究成果较多,非线性项在两个以上的研究成果较少,本文研究具有四个非线性项的问题,而具去掉了一般要求Liapunov函数具有无穷大这个较强的条件,只要求系统正半轨线有界。 相似文献
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借助Lyapunov函数方法 ,讨论了一类分离变量系统的全局稳定性和全局指数稳定性 ,得到了由系统自身特点所给出的几个显示代数判据 ,这些充分性结论为实际应用提供方便 ,推广了有关文献中的一些结果 . 相似文献
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Sergey Nikitin 《Acta Appl Math》2009,105(3):373-383
The paper addresses the stabilization of nonlinear systems with semi-quadratic cost: quadratic with respect to controls and
nonlinear for state variables. Paper presents the effective new feedback synthesis procedure. The novel feedback design procedure
is based on the ideas borrowed from nonlinear optics and the theory of semi-classical asymptotics developed in quantum mechanics. 相似文献
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Rigoberto Medina 《Journal of Difference Equations and Applications》2013,19(12):1737-1749
In this paper, we investigate the stabilization problem for a class of nonlinear discrete-time control systems. We consider semilinear systems with a nonlinear perturbation satisfying a Hölder-type condition. Based on a new discrete inequality of Gronwall type, we establish sufficient conditions for the global and local weak stabilizability of semilinear and nonlinear discrete-time systems, respectively. 相似文献
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P. Florchinger 《Applied Mathematics and Optimization》1998,38(1):109-120
The purpose of this paper is to study the problem of asymptotic stabilization in probability of nonlinear stochastic differential
systems with unknown parameters. With this aim, we introduce the concept of an adaptive control Lyapunov function for stochastic
systems and we use the stochastic version of Artstein's theorem to design an adaptive stabilizer. In this framework the problem
of adaptive stabilization of a nonlinear stochastic system is reduced to the problem of asymptotic stabilization in probability
of a modified system. The design of an adaptive control Lyapunov function is illustrated by the example of adaptively quadratically
stabilizable in probability stochastic differential systems.
Accepted 9 December 1996 相似文献
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针对一般非线性系统,在它的自治动态是稳定的条件下,应用Lyapunov方法获得它可全局渐近稳定的充分条件,同时在系统函数是解析的情况下,基于输出反馈控制律,构造出了类Luenberger观测器,使得闭环系统的平衡点全局渐近稳定. 相似文献