Now showing items 1-6 of 6
A Lyapunov Functional for the Cubic Nonlinearity Activator-Inhibitor Model Equation
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 ...
Analysis of a complex activator-inhibitor equation
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 ...
Control of Large Actuator Arrays Using Pattern-Forming Systems
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
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 ...
A Collocation/Quadrature-Based Sturm-Liouville Problem Solver
We present a computational method for solving a class of boundary-value problemsin Sturm-Liouville form. The algorithms are based on global polynomialcollocation methods and produce discrete representationsof the eigenfunctions. ...
Efficient Implementation of Controllers for Large Scale Linear Systems via Wavelet Packet Transforms
In this paper we present a method of efficiently implementing controllers for linear systems with large numbers of sensors and actuators. It is well known that singular value decomposition can be used to diagonalize any ...