Analysis of a complex activator-inhibitor equation

View/ Open
Date
1999Author
Justh, Eric W.
Krishnaprasad, Perinkulam S.
Metadata
Show full item recordAbstract
Basic properties of solutions and a Lyapunov functionalare presented for a complex activator-inhibitor equation witha cubic nonlinearity.Potential applications include control of coupled-oscillator arrays(for quasi-optical power combining and phased-array antennas),and control of MEMS actuator arrays (for micro-positioning small items).<P>(<I>This work to appear in Proc. 1999 American Control Conference.</I>)
Collections
Related items
Showing items related by title, author, creator and subject.
-
Control of Large Actuator Arrays Using Pattern-Forming Systems
Justh, Eric W. (1998)Pattern-forming systems are used to model many diverse phenomena from biology,chemistry and physics. These systems of differential equations havethe property that as a bifurcation (or control) parameter passes through ... -
Modeling and Control of Dynamical Effects due to Impact on Flexible Structures
Wei, Q. (1994)In the first part of this dissertation, we consider modeling and approximation of impact dynamics on flexible structures. A nonlinear model is developed through Hertz law of impact in conjunction with the dynamic equation ... -
Computing Balanced Realizations for Nonlinear Systems
Newman, Andrew J.; Krishnaprasad, Perinkulam S. (2000)This paper addresses the problem of computability pertaining to the Scherpen(1994) theory and procedure for balancing of nonlinear systems. In contrastto Moore's (1981) balancing method for linear systems, the Scherpen ...