Stability and stabilization of linear positive systems on time scales

Author:

Bartosiewicz ZbigniewORCID

Abstract

AbstractIt is shown that a positive linear system on a time scale with a bounded graininess is uniformly exponentially stable if and only if the characteristic polynomial of the matrix defining the system has all its coefficients positive. Then this fact is used to find necessary and sufficient conditions of positive stabilizability of a positive control system on a time scale.

Funder

Ministry of Science and Higher Education

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Theoretical Computer Science,Analysis

Reference27 articles.

1. Farina, L., Rinaldi, S.: Positive Linear Systems: Theory and Applications, Pure and Applied Mathematics. Wiley, New York (2000)

2. Kaczorek, T.: Positive 1D and 2D Systems. Springer, London (2002)

3. Doan, T.S., Kalauch, A., Siegmund, S.: Exponential stability of linear time-invariant systems on time scales. Nonlinear Dyn. Syst. Theory 9, 37–50 (2009)

4. Doan, T.S., Kalauch, A., Siegmund, S., Wirth, S.F.R.: Stability radii for positive linear time-invariant systems on time scales. Syst. Control Lett. 59, 173–179 (2010)

5. Davis, J.M., Gravagne, I.A., Jackson, B.J., Marks II, R.J.: Controllability, observability, realizability and stability of dynamic linear systems. Electron. J. Differ. Equ. 2009, 1–32 (2009)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Estabilidad de sistemas lineales positivos por politopos invariantes;SAHUARUS. REVISTA ELECTRÓNICA DE MATEMÁTICAS. ISSN: 2448-5365;2023-06-28

2. Stabilizing Hybrid Systems on Time Scale: A Switching and Impulsive Control Strategy;2022 International Conference on Electrical, Computer and Energy Technologies (ICECET);2022-07-20

3. Reachability and stabilizability for positive nonlinear systems on time scales;Optimization;2021-12-28

4. Invariance under discretization for positive systems;Mathematics of Control, Signals, and Systems;2021-03-27

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3