Linear positive control systems on time scales; controllability

被引：0
|
作者：
Zbigniew Bartosiewicz
机构：
[1] Bialystok University of Technology,
来源：
Mathematics of Control, Signals, and Systems | 2013年 / 25卷
关键词：
Positive linear control system; System on time scale; Positive accessibility; Positive reachability; Gram matrix;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Positive linear systems on arbitrary time scales are studied. The theory developed in the paper unifies and extends concepts and results known for continuous-time and discrete-time systems. A necessary and sufficient condition for a linear system on a time scale to be positive is presented. Properties of positive reachable sets are investigated and characterizations of various controllability properties are presented. A modified Gram matrix of the system is used to state necessary and sufficient condition of positive reachability of a positive system on an arbitrary time scale.
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页码：327 / 343
页数：16
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