Infinite Dimensional Multipliers and Pontryagin Principles for Discrete-Time Problems
arXiv:1606.0956710 citationsh-index: 17
Originality Synthesis-oriented
AI Analysis
This is a theoretical contribution for researchers in optimal control and functional analysis, but it is incremental as it extends existing methods to a more general setting.
The paper improves Pontryagin principles for infinite-horizon discrete-time problems with infinite-dimensional state and control spaces, using reduction to finite horizon and functional-analytic lemmas. No concrete numerical results are provided.
The aim of this paper is to provide improvments to Pontryagin principles in infinite-horizon discrete-time framework when the space of states and of space of controls are infinite-dimensional. We use the method of reduction to finite horizon and several functional-analytic lemmas to realize our aim.