Diagonal matrix solutions of a discrete-time Lyapunov inequality

Wimmer H.K.

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Diagonal matrix solutions of a discrete-time Lyapunov inequality

机译：离散时间Lyapunov不等式的对角矩阵解

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摘要

Diagonal solutions of a Lyapunov inequality for companion matrices are studied. Such solutions are required if states of a discrete-time linear system are computed with a finite-precision arithmetic.

机译：研究了伴随矩阵的Lyapunov不等式的对角线解。如果使用有限精度算法计算离散时间线性系统的状态，则需要此类解决方案。

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《IEEE Transactions on Automatic Control》 |1998年第3期|P.442-445|共4页
作者
Wimmer H.K.;
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正文语种 eng
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1. Diagonal matrix solutions of a discrete-time Lyapunov inequality [J] . Wimmer H.K. IEEE Transactions on Automatic Control . 1998,第3期

机译：离散时间Lyapunov不等式的对角矩阵解
2. Common diagonal solutions to the Lyapunov inequalities for interval systems [J] . Bengi Y#305, ld#305, z, Journal of inequalities and applications . 2016,第1期

机译：区间系统的Lyapunov不等式的常见对角线解
3. Structural properties of solutions of continuous-time and discrete-time matrix Lyapunov equations in controllable form [J] . Suchomski P. IEE Proceedings. Part D . 1999,第5期

机译：连续时间和离散时间矩阵Lyapunov方程可控制形式的解的结构性质
4. Block-diagonal solutions to Lyapunov inequalities and generalisations of diagonal dominance [C] . Aivar Sootla, Yang Zheng, Antonis Papachristodoulou IEEE Annual Conference on Decision and Control . 2017

机译：Lyapunov不等式的块对角解和对角优势的推广
5. Linear matrix inequality approach to selected problems in analysis, estimation and control of discrete-time systems. [D] . Mohseni, Mohammad Jafar. 1997

机译：线性矩阵不等式方法用于离散时间系统的分析，估计和控制中的选定问题。
6. Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems [O] . Ioan-Lucian Popa, Mihail Megan, Traian Ceauşu 2013

机译：基于不可逆线性离散系统的Lyapunov函数的非均匀指数二分法
7. Block-Diagonal Solutions to Lyapunov Inequalities and Generalisations of Diagonal Dominance [O] . Sootla, Aivar, Zheng, Yang, Papachristodoulou, Antonis 2017

机译：Lyapunov不等式的块对角解及其推广对角优势

Diagonal matrix solutions of a discrete-time Lyapunov inequality

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