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.

引用

页码：58 / 63

页数：6

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