In this work we provide a new approach to the theory of second-order necessary conditions in optimal control, considering a problem posed over piecewise continuous controls and involving equality constrains in the controls. The proof that the second-order conditions obtained are necessary for optima
Second order sufficient conditions for optimizing with equality constraints
β Scribed by J.B. Hughes
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 409 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper we derive sufficient conditions for optimal control problems with mixed control and state constraints by applying a dual approach to the dynamic programming. These conditions guarantee that a relative minimum is achieved. We seek an optimal pair in the class of those admis
In this paper, we establish second order optimality conditions for the problem of minimizing a function f on the solution set of an inclusion 0 β F (x), where f and the support function of set valued map F have compact second order approximations at x.
In this paper we present first and second order sufficient conditions for strict local minima of orders 1 and 2 to vector optimization problems with an arbitrary feasible set and a twice directionally differentiable objective function. With this aim, the notion of support function to a vector proble
## Abstract It has been common practice to find controls satisfying only necessary conditions for optimality, and then to use these controls assuming that they are (locally) optimal. However, sufficient conditions need to be used to ascertain that the control rule is optimal. Second order sufficien