Differential and difference Lyapunov equations: simultaneous eigenvalue bounds
Differential and difference Lyapunov equations: simultaneous eigenvalue bounds
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DOI：
10.1080/00207729008910455
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发表时间：
1990-07
影响因子：
4.3
通讯作者：
A. Hmamed
中科院分区：
文献类型：
--
作者：
A. Hmamed
给出了微分和差分李雅普诺夫方程解的几个同时特征值界。它表明，在某些情况下，每个绑定作为一个简单的标量微分或差分方程的解决方案。在极限情况下，微分或差分李雅普诺夫方程的解变得平稳，一些结果减少到几个现有的代数方程的界限。
Several simultaneous eigenvalue bounds for the solution of the differential and difference Lyapunov equations are presented. It is shown that, in certain cases, each bound is obtained as a solution of a simple scalar differential or difference equation. In the limiting case where the solution to the differential or the difference Lyapunov equation becomes stationary, some of the results reduce to several existing bounds for the algebraic equations.