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
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;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758483
