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Feedback stabilization of linear systems with distributed delays instate and control variables

机译:具有状态和控制变量分布时滞的线性系统的反馈镇定

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摘要

Solving a generalized characteristic matrix equation (GCME) of a linear retarded system is the crux for stabilizing the system using a reduction technique. This note gives the solution of GCME under the general condition that the eigenvalues occur in the spectrum of the system with algebraic and geometric multiplicities being greater than or equal to one. The main idea is to transform the GCME into a group of linear algebraic equations. A sufficient condition for the existence of the solution to the linear algebraic equations is established. A key lemma for stabilizing the systems under the above general condition is also proved
机译:解决线性延迟系统的广义特征矩阵方程(GCME)是使用归约技术稳定系统的关键。该注释给出了一般条件下GCME的解决方案,即特征值出现在系统的谱中,且代数和几何多重性大于或等于1。主要思想是将GCME转换为一组线性代数方程。建立了线性代数方程解的存在的充分条件。还证明了在上述一般条件下稳定系统的关键引理

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