Scheduled System Maintenance on December 17th, 2014:
IEEE Xplore will be upgraded between 2:00 and 5:00 PM EST (18:00 - 21:00) UTC. During this time there may be intermittent impact on performance. We apologize for any inconvenience.
By Topic

Stability and dissipativity theory for discrete-time nonnegative and compartmental dynamical systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Haddad, M.M. ; Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA ; Chellaboina, V.S. ; August, E.

Nonnegative and compartmental dynamical systems are derived from mass and energy balance considerations that involve dynamic states whose values are nonnegative. These models are widespread in engineering, biomedicine, and ecology. In this paper we develop several results on stability and dissipativity of discrete-time linear and nonlinear nonnegative dynamical systems. Specifically, using linear Lyapunov functions we develop necessary and sufficient conditions for Lyapunov stability 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

Published in:

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on  (Volume:5 )

Date of Conference:

2001