Title :
Vibrational stabilization of nonlinear parabolic systems with Neumann boundary conditions
Author :
Bentsman, Joseph ; Hong, Keum S.
Author_Institution :
Dept. of Mech. Ind. Eng., Illinois Univ., Urbana, IL, USA
fDate :
4/1/1991 12:00:00 AM
Abstract :
The conditions for the existence of the stabilizing vibrations for a class of distributed parameter systems governed by parabolic partial differential equations with Neumann boundary conditions are derived. The guidelines for the choice of the vibration parameters that ensure stabilization are given. Examples of vibrational stabilization of unstable systems by linear multiplicative and vector additive vibrations are given to support the theory
Keywords :
distributed parameter systems; nonlinear systems; partial differential equations; stability; vibration control; Neumann boundary conditions; distributed parameter systems; nonlinear parabolic systems; parabolic partial differential equations; stability; vibration control; vibrational stabilization; Boundary conditions; Concurrent computing; Control systems; Differential equations; Distillation equipment; Linear systems; Open loop systems; Optimal control; Parallel processing; Riccati equations;
Journal_Title :
Automatic Control, IEEE Transactions on
