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A Lyapunov Functional for the Cubic Nonlinearity Activator-Inhibitor Model Equation
(1998)
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 ...
Guardian Maps and the Generalized Stability of Parametrized Families of Matrices and Polynomials
(1988)
The generalized stability of families of real matrices and polynomials is considered. (Generalized stability is meant in the usual sense of confinementof matrix eigenvalues or polynomial zeros to a prespecified domain in ...
Non-Smooth Robust Stabilization of a Family of Linear Systems in the Plane
(1996)
In this paper, we use merely continuous feedback to robustly stabilize a class of parameterized family of linear systems in the plane. We introduce a new interpolation method that enables us to construct a robust stabilizer ...
Closed-Loop Monitoring Systems for Detecting Incipient Instability
(1998)
Monitoring systems are proposed for the detection of incipientinstability in uncertain nonlinear systems. The work employsgeneric features associated with the response to noise inputsof systems bordering on instability. ...
A Model for a Thin Magnetostrictive Actuator
(1998)
In this paper, we propose a model for dynamic magnetostrictive hysteresisin a thin rod actuator. We derive two equations that representmagnetic and mechanical dynamic equilibrium. Our model results from an application of ...
Experimenting with Hybrid Control
(2000)
There is a growing realization among educators andemployers that students of automatic control should be encouraged tothink of the subject in broader terms. The systems approach shouldembrace communication requirements, ...
Optimal Decoupling Control
(1994)
A new approach to optimal decoupling for multi-input multi-output (MIMO), linear, time-invariant control systems, is presented. This general optimal decoupling method is based on the minimization of componentwise performance ...
On Participation Factors for Linear Systems
(1999)
Participation factors are nondimensional scalars that measure the interaction betweenthe modes and the state variables of a linear system. Since their introduction byVerghese, P'erez-Arriaga and Schweppe, participationfactors ...
The Hybrid Motor Prototype: Design Details and Demonstration Results
(1998)
A novel hybrid rotary motor incorporating piezoelectric and magnetostrictive actuators has been designed and demonstrated. The novelty of this motor was the creation of an electrical resonant circuit, whereby reactive power ...
Analysis of a complex activator-inhibitor equation
(1999)
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 ...