REALIZATION THEORY OF DISCRETE-TIME NON-LINEAR SYSTEMS .1. BOUNDED CASE

被引：83

作者：

SONTAG, ED

机构：

[1] Department of Mathematics, Rutgers University, New Brunswick

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1979年 / 26卷 / 05期

关键词：

D O I：

10.1109/TCS.1979.1084646

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A state-space realization theory is presented for a wide class of discrete time input/output behaviors. Although in many ways restricted, this class does include as particular cases those treated in the literature (linear, multilinear, internally bilinear, homogeneous), as well as certain nonanalytic nonlinearities. The theory is conceptually simple, and matrix-theoretic algorithms are straightforward. Finiterealizability of these behaviors by state-affine systems is shown to be equivalent both to the existence of high-order input/output equations and to realizability by more general types of systems. © 1979 IEEE

引用

页码：342 / 356

页数：15

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