Pontryagin’s Principle for a Class of Discrete Time Infinite Horizon Optimal Growth Problems
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In this chapter, we aim to apply the approach of weak Pontryagin’s principles to a class of discrete time infinite horizon optimal growth problems. The idea of this approach is to transform the optimal growth problem into a dynamical system which is governed by a difference equation or a difference inequation. We establish necessary and sufficient conditions of optimality in terms of weak Pontryagin’s principles.
The author gratefully acknowledges the conference team ICAME18 where a preliminary version of this chapter was presented. The author thanks the chairman and the public of control theory session of ICAME18 for all their remarks and comments.
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