NDLI: Stability and dissipativity theory for nonnegative dynamical systems: a thermodynamic framework for biological and physiological systems

Content Provider	IEEE Xplore Digital Library
Author	Haddad, W.M. Chellaboina, V. August, E.
Copyright Year	2001
Description	Author affiliation: Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA (Haddad, W.M.)
Abstract	Nonnegative dynamical system models are derived from mass and energy balance considerations that involve dynamic states whose values are nonnegative. These models are widespread in biological, physiological, and ecological sciences and play a key role in the understanding of these processes. In this paper we develop several results on stability, dissipativity, and stability of feedback interconnections of linear and nonlinear nonnegative dynamical systems. Specifically, using linear Lyapunov functions we develop necessary and sufficient conditions for Lyapunov stability, semistability, and asymptotic stability for nonnegative systems. In addition, using linear storage functions and linear supply rates we develop, new notions of dissipativity theory for nonnegative dynamical systems. Finally, these results are used to develop general stability criteria for feedback.
Sponsorship	IEEE Control Syst. Soc
Starting Page	442
Ending Page	458
File Size	1470507
Page Count	17
File Format	PDF
ISBN	0780370619
DOI	10.1109/CDC.2001.980141
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-12-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Thermal stability Thermodynamics Lyapunov method Feedback Biological materials Aerospace engineering Biological system modeling Aerodynamics Sufficient conditions Kinetic theory
Content Type	Text
Resource Type	Article

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