1) planar linear autonomous systems on time scales
平面时标线性自治系统
2) planar autonomous system
平面自治系统
1.
The defect of lemma in reference\ was pointed out and the sufficie nt conditions which guarantee the nonexistence of limit cycles for planar autonomous system were derived.
指出了文 [1 ]中引理的不足 ,进而得到平面自治系统不存在极限环的充分条
3) autonomous planar system
平面自治系统
1.
In this paper the authors study the boundedness of solutions of the autonomous planar systems and give two sufficient conditions for all solutions to be bounded and one sufficient condition for existence of periodic solutions.
研究一般平面自治系统的解的有界性。
2.
In this paper, some new sufficient conditions are obtained which ensure that the autonomous planar system=P(x,y), =Q(x,y)has at least one closed orbit.
本文研究一般平面自治系统ｄｘｄｔ＝Ｐ（ｘ，ｙ），ｄｙｄｔ＝Ｑ（ｘ，ｙ）的闭轨的存在性，所得结果不仅较大地推广和改进了已有的结果，而且还可以初步估计闭轨的存在位置。
3.
This paper deals mith global semistubility for a class of autonomous planar system Some sufficient conditions are estabished to ensure that the system is globally semistable.
研究一类平面自治系统＝Ｘ１（ｘ）Ｘ２（ｙ）＝Ｙ（ｘ，ｙ）的全局半稳定，获得此系统为全局半稳定的充分条件，推广和改进了［１］、［２］的结果。
5) Non-linear self-consistent system
非线性自治系统
1.
Qualitative analysis of the first class non-linear self-consistent system;
一类非线性自治系统的定性分析
6) nonautonomous linear system
非自治线性系统
1.
To study the exponential stability for nonautonomous linear system with time-varying delays,this paper applies the methods of the Lyapunov-Krasovskii function and some analysis,to give sufficient conditions for the exponential stability of nonautonomous linear system by using linear matrix inequalities and the solution of Riccati differential equations.
为探讨一类具时滞非自治线性系统指数的稳定性及其实用性,本文利用Lyapunov函数方法和线性矩阵不等式及Riccati微分方程解的性质等,给出了这类线性系统指数稳定性的充分条件,这些充分条件可用线性矩阵不等式表示,且表达式中含有时滞项。
补充资料：时滞系统的稳定性
时滞系统在初始扰动下的运动能回复或趋近平衡状态的性能。包含时滞环节的系统称为时滞系统。时滞环节的特点是它的输出变量相对于输入变量存在时间上的滞后τ。与输气管道中压力波传播过程相应的环节是时滞环节的一个例子。时滞τ的大小对时滞系统的稳定性有极大影响，常可采用临界时滞τc来表征系统的允许时滞范围，它是改变时滞τ使系统由渐近稳定变为不稳定时的一个临界值。研究时滞系统稳定性常用的方?ㄓ衅德视蚍椒?(见米哈伊洛夫稳定判据、奈奎斯特稳定判据)和李雅普诺夫函数法（见李雅普诺夫稳定性理论），它们在应用上和判断无时滞系统的稳定性时没有区别。对于多时滞系统和变时滞系统，稳定性的分析过程要更为复杂。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条