Instability Conditions for Nonlinear Nonautonomous Dynamic Systems. II. Sufficient Conditions of Instability

被引：0

作者：

V. P. Zhukov

机构：

[1] Trapeznikov Institute of Control Sciences,Russian Academy of Sciences

来源：

Automation and Remote Control | 2003年 / 64卷

关键词：

Dynamic System; Mechanical Engineer; Equilibrium State; System Theory; Function Versus;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In Part I, using a special class of scalar functions V(x, t, ε) dependent on a parameter ε, we have derived new necessary and sufficient conditions for the instability (in some domain) of the equilibrium states of nonlinear nonautonomous dynamic systems of arbitrary order. In Part II, we derive new sufficient conditions for the instability of a class of unstable systems in terms of functions admitting a simple geometric interpretation.

引用

页码：217 / 230

页数：13

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