Invariance and monotonicity of nonlinear systems on time scales

被引：6
|
作者：
Bartosiewicz, Zbigniew [1 ]
机构：
[1] Bialystok Tech Univ, Fac Comp Sci, Wiejska 45A, PL-15351 Bialystok, Poland
来源：
SYSTEMS & CONTROL LETTERS | 2016年 / 93卷
关键词：
Invariance; Monotone system; Time scale; Positivstellensatz; Skew derivation;
D O I：
10.1016/j.sysconle.2016.04.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Invariance of a subset of the state space with respect to a control system on an arbitrary time scale is studied. This includes in particular continuous-time and discrete-time systems. The invariance is characterized with the aid of natural operators associated to the system: shifts and skew derivations. For different time scales the criteria take different forms. Then for polynomial systems algebraic criteria of invariance based on Positivstellensatz from real algebraic geometry are developed. A relation between invariance and monotonicity is exhibited and the results on invariance are used to characterize monotonicity. (C) 2016 Elsevier B.V. All rights reserved.
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页码：58 / 63
页数：6
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