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一类广义分离变量系统的全局稳定性
GLOBAL STABILITY OF A CLASS OF GENERALIZED SYSTEMS WITH SEPARATED VARIABLES
【摘要】 借助一般可分离变量系统的Lyapunov函数方法,对一类广义分离变量系统的全局稳定性和不稳定性进行了讨论,通过分析技巧得到了由系统自身特点所给出的显示代数判据,这些结果验证方便,改进和推广了有关文献中的相应结果。
【Abstract】 The global stability and instability of generalized systems with separated variables are studied by using Lyapunov’s function method for general systems with separated variables,some sufficient criteria are obtained by means of analysis technique and these results popularized the existed results in relevant literatures.-
【关键词】 分离变量;
Lyapunov函数;
全局渐近稳定;
不稳定;
【Key words】 separated variables; lyapunov function; global asymptotic stability; instability;
【Key words】 separated variables; lyapunov function; global asymptotic stability; instability;
- 【文献出处】 南昌大学学报(理科版) ,Journal of Nanchang University(Natural Science) , 编辑部邮箱 ,2004年01期
- 【分类号】O29
- 【下载频次】46