典型文献
Positive-Controllability,Positive-Near-Controllability,and Canonical Forms of Driftless Discrete-Time Bilinear Systems
文献摘要：
Controllable canonical forms play important roles in the analysis and design of control systems.In this paper,a fundamental class of discrete-time bilinear systems are considered.Such systems are of interest since,on one hand,they have the most complete controllability theory.On the other hand,they can be nearly-controllable even if controllability fails.Firstly,controllability of the systems with positive control inputs is studied and necessary and sufficient algebraic criteria for positive-controllability and positive-near-controllability are derived.Then,controllable canonical forms and nearly-controllable canonical forms of the systems are presented,respectively,where the cor-responding transformation matrices are also explicitly constructed.Examples are given to demonstrate the effectiveness of the derived controllability criteria and controllable canonical forms.
文献关键词：
中图分类号：
作者姓名：
TIE Lin
作者机构：
School of Automation Science and Electrical Engineering,Beihang University,Beijing 100083,China
文献出处：
引用格式：
[1]TIE Lin-.Positive-Controllability,Positive-Near-Controllability,and Canonical Forms of Driftless Discrete-Time Bilinear Systems)[J].系统科学与复杂性学报（英文版）,2022(04):1225-1243
A类：
Driftless
B类：
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AB值：
0.574069
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