Stabilization of positive systems with first integrals

被引：28

作者：

De Leenheer, P ^{[1
]}

Aeyels, D

机构：

[1] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

[2] State Univ Ghent, SYSTeMS, B-9052 Ghent, Belgium

来源：

AUTOMATICA | 2002年 / 38卷 / 09期

关键词：

positive systems; first integral; stabilization; chemical reactors;

D O I：

10.1016/S0005-1098(02)00056-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Positive systems possessing first integrals are considered. These systems frequently occur in applications. This paper is devoted to two stabilization problems. The first is concerned with the design of feedbacks to stabilize a given level set. Secondly, it is shown that the same feedback allows to globally stabilize an equilibrium point if it is asymptotically stable with respect to initial conditions in its level set. Two examples are provided and the results are compared with those in the literature. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1583 / 1589

页数：7

共 50 条

[21] On positive systems with multivariable positive control: Process stabilization
Leyva, Horacio
Femat, Ricardo
Carrillo, Francisco A.
Quiroz-Compean, Griselda
JOURNAL OF PROCESS CONTROL, 2023, 132
[22] Positive Stabilization for a Class of Separable Positive Nonlinear Systems
Shafai, Bahram
Moradmand, Anahita
2021 AUSTRALIAN & NEW ZEALAND CONTROL CONFERENCE (ANZCC), 2021, : 62 - 67
[23] Stabilization of positive Markov jump systems
Guo, Yafeng
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (14): : 3428 - 3440
[24] Stability and Stabilization of Positive Switched Systems
Zhang Junfeng
Han Zhengzhi
Zhu Fubo
Huang Jun
2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 78 - 83
[25] Stabilization for a Class of Positive Bilinear Systems
Kawano, Yu
Cucuzzella, Michele
IEEE CONTROL SYSTEMS LETTERS, 2023, 7 : 3519 - 3524
[26] Stability and Stabilization of Positive Systems with Delays
Liu, Xingwen
2009 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS PROCEEDINGS, VOLUMES I & II: COMMUNICATIONS, NETWORKS AND SIGNAL PROCESSING, VOL I/ELECTRONIC DEVICES, CIRUITS AND SYSTEMS, VOL II, 2009, : 908 - 912
[27] Separable systems with quadratic in momenta first integrals
Blaszak, M
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (08): : 1667 - 1685
[28] Analytic first integrals of the FitzHugh – Nagumo systems
Jaume Llibre
Clàudia Valls
Zeitschrift für angewandte Mathematik und Physik, 2009, 60 : 237 - 245
[29] Geometric microcanonical thermodynamics for systems with first integrals
Franzosi, Roberto
PHYSICAL REVIEW E, 2012, 85 (05):
[30] Formal First Integrals of General Dynamical Systems
Jiao, Jia
Li, Wenlei
Zhou, Qingjian
ADVANCES IN MATHEMATICAL PHYSICS, 2016, 2016

← 1 2 3 4 5 →