Hybrid nonnegative and compartmental dynamical systems

被引：20
|
作者：
Haddad, WM [1 ]
Chellaboina, V
Nersesov, SG
机构：
[1] Georgia Inst Technol, Sch Aerosp Engn, Atlanta, GA 30332 USA
[2] Univ Missouri, Columbia, MO 65211 USA
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2002年 / 8卷 / 06期
基金：
美国国家科学基金会;
关键词：
nonnegative systems; compartmental models; hybrid-systems; impulsive systems; stability theory; dissipativity theory;
D O I：
10.1080/1024123021000066426
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Nonnegative and compartmental dynamical systems are governed by conservation laws and are comprised of homogeneous compartments which exchange variable nonnegative quantities of material via intercompartmental flow laws. These systems typically possess hierarchical (and possibly hybrid) structures and are remarkably effective in capturing the phenomenological features of many biological and physiological dynamical systems. In this paper we develop several results on stability and dissipativity of hybrid nonnegative and compartmental dynamical systems. Specifically, using linear Lyapunov functions we develop sufficient conditions for Lyapunov and asymptotic stability for hybrid nonnegative dynamical systems. In addition, using linear and nonlinear storage ftmctions with linear hybrid supply rates we develop new notions of dissipativity theory for hybrid nonnegative dynamical systems. Finally, these results are used to develop general stability criteria for feedback interconnections of hybrid nonnegative dynamical systems.
引用
收藏
页码：493 / 515
页数：23
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