A Lyapunov Functional for the Cubic Nonlinearity Activator-Inhibitor Model Equation
Justh, Eric W.
Krishnaprasad, Perinkulam S.
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The cubic nonlinearity activator-inhibitor model equation is a simpleexample of a pattern-forming system for which strong mathematical resultscan be obtained. Basic properties of solutions and the derivation ofa Lyapunov functional for the cubic nonlinearity model are presented.Potential applications include control of large MEMS actuator arrays.(In Proc. IEEE Conf. Decision and Control, December 16-18, 1998)