H. T. Banks and K. Kunisch, “The Linear Regulator Problem for Parabolic Systems,” SIAM Journal on Control and Optimization, No. 22, Vol. 5, 1984, pp. 684-696. doi:10.1137/0322043
has been cited by the following article:
TITLE: An Output Stabilization Problem of Distributed Linear Systems Approaches and Simulations
AUTHORS: El Hassan Zerrik, Yassine Benslimane
KEYWORDS: Distributed System; Gradient Stability; Gradient Stabilization; Stabilizing Control
JOURNAL NAME: Intelligent Control and Automation, Vol.3 No.2, May 23, 2012
ABSTRACT: The goal of this paper is to study an output stabilization problem: the gradient stabilization for linear distributed systems. Firstly, we give definitions and properties of the gradient stability. Then we characterize controls which stabilize the gradient of the state. We also give the stabilizing control which minimizes a performance given cost. The obtained results are illustrated by simulations in the case of one-dimensional distributed systems.