Delay-dependent stabilization conditions of positive continuous-time systems

被引：0

作者：

Elloumi, Wafa ^{[1
]}

Benzaouia, Abdellah ^{[2
]}

Chaabane, Mohamed ^{[1
]}

机构：

[1] Univ Sfax, Natl Sch Engn Sfax, Lab STA, Sfax 3038, Tunisia

[2] Univ Cadi Ayyad, Fac Sci Semlalia, LAEPT URAC 28, Marrakech, Morocco

来源：

2013 3D INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC) | 2013年

关键词：

positive systems; delay systems; stabilization; LMIs; time varying delay; non differentiable delay; EXPONENTIAL STABILITY; LINEAR-SYSTEMS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The synthesis of state feedback controller problem for the class of linear continuous-time systems with time-varying delay is solved by maintaining the positivity of the studied system in the closed-loop. Our state-feedback law is formulated by giving sufficient conditions in terms of LMIs. A numerical example with two types of time delay function is used in order to show the effectivness of our proposed method.

引用

页数：5

共 25 条

[1]

[Anonymous], 2000, PUR AP M-WI

[2] APPLICATION OF M-MATRICES TO STABILITY PROBLEMS OF COMPOSITE DYNAMICAL-SYSTEMS [J].

ARAKI, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 52 (02) :309-321

[3]

Batinecl J., 2010, BOUND VALUE PROBL, V2010, P20

[4] Time delay in physiological systems: Analyzing and modeling its impact [J].

Batzel, Jerry J. ;

Kappel, Franz .

MATHEMATICAL BIOSCIENCES, 2011, 234 (02) :61-74

[5] Stabilisation of controlled positive delayed continuous-time systems [J].

Benzaouia, A. ;

Hmamed, A. ;

Tadeo, F. .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2010, 41 (12) :1473-1479

[6]

Benzaouia A., 2012, LNC, V426

[7]

Benzaouia A, 2011, INT J INNOV COMPUT I, V7, P1533

[8] Robust exponential stability and stabilizability of linear parameter dependent systems with delays [J].

Botmart, T. ;

Niamsup, P. .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (06) :2551-2566

[9] On monotonicity of solutions of nonnegative and compartmental dynamical systems with time delays [J].

Chellaboina, V ;

Haddad, WM ;

Ramakrishnan, J ;

Bailey, JM .

42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, :4008-4013

[10]

Diblk J., 2010, ADV DIFFER EQU-NY, V2010, P15

← 1 2 3 →