Hybrid nonnegative and compartmental dynamical systems

Author

Haddad, Wassim M. ; Chellaboina, VijaySekhar ; Nersesov, Sergey G.

Author_Institution

Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

1

fYear

2002

fDate

2002

Firstpage

680

Abstract

Nonnegative and compartmental dynamical systems are governed by conservation laws and comprise 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. We develop several results on stability and dissipativity of hybrid nonnegative and compartmental dynamical systems.

Keywords

Lyapunov methods; biology; continuous time systems; feedback; nonlinear dynamical systems; stability; biological systems; compartmental dynamical systems; conservation laws; dissipativity; hierarchical structures; hybrid nonnegative systems; intercompartmental flow laws; physiological systems; remarkably phenomenological; stability; Aerodynamics; Aerospace engineering; Aerospace materials; Biological materials; Control systems; Decision making; Lyapunov method; Nonlinear dynamical systems; Nonlinear equations; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2002. Proceedings of the 2002

ISSN

0743-1619

Print_ISBN

0-7803-7298-0

Type

conf

DOI

10.1109/ACC.2002.1024891

Filename

1024891