Flatness and Submersivity of Discrete-Time Dynamical Systems

被引：18

作者：

Guillot, Philippe ^{[1
]}

Millerioux, Gilles ^{[2
]}

机构：

[1] Univ Paris, LAGA CNRS, F-93526 St Denis, France

[2] Lorraine Univ, CRAN UMR 7039, F-54519 Vandoeuvre Les Nancy, France

来源：

IEEE CONTROL SYSTEMS LETTERS | 2020年 / 4卷 / 02期

关键词：

Flatness; nonlinear discrete-time systems;

D O I：

10.1109/LCSYS.2019.2926374

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This letter addresses flatness of discrete-time systems called difference flatness. A definition of flatness, that encompasses the standard ones, in particular backward and forward difference flatness, is introduced. It also allows to cope with systems which are not necessarily controllable or submersive. Besides, it considers nonlinear dynamical systems defined on general sets (without necessary special structures) which can be either continuous or discrete. Based on this definition, a result is established and stipulates that a flat and submersive non-linear system is fully reachable ( which is equivalent to fully controllable). Next, the special case of linear systems is considered leading to a necessary and sufficient condition.

引用

页码：337 / 342

页数：6

共 26 条

[21] INVERTIBILITY OF LINEAR TIME-INVARIANT DYNAMICAL SYSTEMS [J].