Optimal Boundary Control for a Non-linear Distributed System†
- 1 August 1966
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 4 (2) , 167-178
- https://doi.org/10.1080/00207176608921418
Abstract
The non-linear generalization of an optimal control problem of Butkovskii and Sakawa is considered, in which a system satisfying a diffusion-like non-linear partial differential equation is controlled by regulating conditions in the medium in contact with the system at one of its spatial boundaries. A necessary condition in the form of a minimum principle is developed, and a algorithm for steep descent calculation is obtained. A numerical example for a special case is included.Keywords
This publication has 5 references indexed in Scilit:
- Effect of Flow Passages on Two-Phase Critical FlowIndustrial & Engineering Chemistry Fundamentals, 1966
- Optimal control of a certain type of linear distributed-parameter systemsIEEE Transactions on Automatic Control, 1966
- Solution of an optimal control problem in a distributed-parameter systemIEEE Transactions on Automatic Control, 1964
- A General Minimum Principle for End-point Control ProblemsJournal of Electronics and Control, 1964
- On Optimum Control of Temperature Distribution in a Solid†Journal of Electronics and Control, 1963