论文标题
动态系统的稳定性和不稳定性差异条件
Stability and Instability Divergence Conditions for Dynamical Systems
论文作者
论文摘要
提出了一种使用矢量场的流量和差异对自主动力学系统进行稳定和不稳定性研究的新方法。建立了Lyapunov函数方法与提出的方法之间的关系。 Bendixon和Bendixon-Dulac定理用于$ n $ th维系统。根据提出的方法，设计了国家反馈控制法。控制信号是从部分差分不等式获得的。示例说明了所提出的方法的应用和现有方法的应用。
A novel method for stability and instability study of autonomous dynamical systems using the flow and divergence of the vector field is proposed. A relation between the method of Lyapunov functions and the proposed method is established. Bendixon and Bendixon-Dulac theorems for $n$th dimensional systems are extended. Based on the proposed method, the state feedback control law is designed. The control signal is obtained from the partial differential inequality. The examples illustrate the application of the proposed method and the existing ones.
