A LINEAR ALGEBRAIC FRAMEWORK FOR THE ANALYSIS OF DISCRETE-TIME NONLINEAR-SYSTEMS

被引：61
|
作者：
GRIZZLE, JW
机构：
[1] Univ of Michigan, Ann Arbor, MI
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1993年 / 31卷 / 04期
关键词：
NONLINEAR SYSTEMS; DISCRETE-TIME; RANKS; INVERTIBILITY;
D O I：
10.1137/0331046
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A linear algebraic framework for the analysis of synthesis-type problems for discrete-time nonlinear systems is introduced. This is an extension of a similar tool for continuous-time systems that established important connections between many algorithms associated with right-invertibility, left-invertibility and dynamic decoupling, as well as between these algorithms and an approach based upon differential algebra. A similar payoff is seen to be possible in the discrete-time setting.
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页码：1026 / 1044
页数：19
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