Abstract

The stabilization problem for nonlinear autonomous systems with dynamic chaos is considered. The proposed control synthesis methodology is based on the control spectrum of Lyapunov characteristic exponents. The synthesized feedback control makes it possible to ensure stability of special points or a limit cycle in a closed-loop system. The parameters of the stabilizing control are determined by solving a Sylvester matrix equation. An example of using the proposed methodology to synthesize control for a Rössler system is described.

中文翻译：

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具有动态混沌的非线性系统的稳定性

摘要

考虑了具有动态混沌的非线性自治系统的镇定问题。所提出的控制综合方法基于李雅普诺夫特征指数的控制谱。综合反馈控制可以保证闭环系统中特殊点或极限环的稳定性。稳定控制的参数通过求解 Sylvester 矩阵方程来确定。描述了使用所提出的方法来综合控制 Rössler 系统的示例。