DocumentCode
2719769
Title
A Lyapunov functional for the cubic nonlinearity activator-inhibitor model equation
Author
Justh, Eric ; Krishnaprasad, P.S.
Author_Institution
Dept. of Electr. Eng. & Syst. Res. Center, Maryland Univ., College Park, MD, USA
Volume
2
fYear
1998
fDate
16-18 Dec 1998
Firstpage
1404
Abstract
The cubic nonlinearity activator-inhibitor model equation is a simple example of a pattern-forming system for which strong mathematical results can be obtained. Basic properties of solutions and the derivation of a Lyapunov functional for the cubic nonlinearity model are presented. Potential applications include control of large MEMS actuator arrays
Keywords
functional equations; multidimensional systems; partial differential equations; Lyapunov functional; cubic nonlinearity activator-inhibitor model equation; large MEMS actuator arrays; pattern-forming system; Actuators; Chemical sensors; Chemical technology; Distributed control; Educational institutions; Fluid flow; Mathematical model; Micromechanical devices; Micromirrors; Nonlinear equations;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location
Tampa, FL
ISSN
0191-2216
Print_ISBN
0-7803-4394-8
Type
conf
DOI
10.1109/CDC.1998.758483
Filename
758483
Link To Document