Title :
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
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;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1024891
