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In this paper,we study the existence.uniqueness and asymptotic stability of the periodic solutions for a class of nonautonomous systems by using the method of Liapunov Function.

利用Liapunov函数方法,研究了一类非自治系统周期解的存在唯一性及渐近稳定性,得到了存在唯一渐近稳定的周期解的充分条件。

In this papper, the methods of decomposition of large-scale system and Liapunov function are used in studying the existence of stationary oscillation of periodic interval system and some new results are obtained.

应用大系统的分解和Liapunov函数的方法研究了周期区间系统的平稳振荡的存在性问题,得到了一些新的结果。

By constructing a Liapunov function, we obtain some sufficient conditions which ensure the persistence of the first system, and the existence of periodic solutions of the second system which is established by using coincidence degree theory.

另外,我们也利用重合度理论得到了第二个系统正周期解存在的充分条件。

By using Mawhin\'s continuous theorem and liapunov function, sufficient conditions for the existence and globally asymptotic stability of positive periodic solutions of three systems are derived, respectively.

我们还利用Mawhin连续性定理分别建立了两个系统正周期解存在的充分条件。

Sufficient conditions for existence of positive periodic solutions of these systems are established and we investigate a stochastic Lotka-Volterra ecosystem, by use of the mixed quasi-monotone theory and Liapunov function method, some new results are obtained.

最后,我们研究了n种群随机Lotka-Volterra生态模型,利用混合单调流理论和It〓型随机微分方程知识,得到了其解过程的均方渐近稳定性和强生态稳定性的结果。

The senior officer of state-owned company is appointed by the government, lieutenancy 3 ~ 5 years, won't span commonly the research and development of great skill is periodic.

国有企业的高级主管由政府任命,任期3~5年,一般不会跨越重大技术的研发周期。

Northward net: Edition advocate lieutenancy is periodic, still see washed-up ability be avoided?

北方网:版主的任期是定期的,还是看不行了才免掉的?

The periodic doubling responses of the limit cycle flutter of the test model are observed in wind-tunnel test.

风洞实验中实现了该系统极限环颤振的周期倍化响应。

To weaken the influences of the position-dependent periodic disturbances and parameter uncertainties, the robust repetitive controller was designed, which associated structure singular value theory with the discrete-time repetitive control theory. The problem of robust repetitive control was transformed into one of H∞ optimal control using linear fractional transformation. The robust repetitive controller was achieved using D-K iteration procedure and made the servo system have stability, robustness and tracking performance.

为了削弱周期性扰动及参数变化不确定性的影响,将重复控制和结构奇异值理论相结合,利用线性分式变换(linear fractional transformation,LFT)将鲁棒重复控制问题转换成H∞最优控制问题,采用D-K迭代法设计鲁棒重复控制器(robust repetitive controller,RRC),实现系统的稳定性和鲁棒性,提高系统的跟踪特性。

Second order linear ordinary differential equation with variable coefficients ; finding of solution ; periodic solution.

二阶变系数线性方程;充要条件;可积;求解;周期解

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