✦ LIBER ✦
Optimal control problems with differential inclusions: Sufficiency conditions and an application to a production-inventory model
✍ Scribed by Richard F. Hartl; Suresh P. Sethi
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 818 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0143-2087
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we derive useful sufficiency optimality conditions for a class of optimal control problems subject to differential inclusions and involving non-differentiable functions. A production-inventory problem is solved to illustrate our results. KEY WORDS Sufficient conditions Differential inclusions Non-differentiable functions Economic applications * Note that (28) is obtained from (11) by setting I = 1. This is because the alternative value I = 0 would mean i. + I p(T) I = 0 and contradict the non-vanishing property of 1 +I At) I. See also the second remark of Section 5.