Title :
On the boundedness of a distributed parameter process with noisy boundary conditions
Author_Institution :
University of the Negev, Beer-Sheva, Israel
fDate :
4/1/1974 12:00:00 AM
Abstract :
A distributed parameter process with noisy boundary conditions is considered. The noise acting on the system´s boundary is either a Gaussian white noise or a Poissonian type process. A Lyapunov type functional is defined on the sample functions of the distributed process, and sufficient conditions, for the ultimate boundedness of this functional, are derived.
Keywords :
Distributed systems, stochastic; Lyapunov methods; Boundary conditions; Diffusion processes; Eigenvalues and eigenfunctions; Equations; Gaussian noise; Heat engines; Microelectronics; Random processes; Stability; White noise;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1974.1100515
