Set-valued interpolation, differential inclusions, and sensitivity in optimzation. (English) Zbl 0868.34011

Lempio, F.

Lucchetti, Roberto (ed.) et al., Recent developments in well-posed variational problems. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 331, 137-169 (1995).

The main objective of this paper is to describe the relationship between numerical methods for differential inclusions and questions of sensitivity and stability analysis of finite dimensional optimization problems.
For the entire collection see [Zbl 0823.00006].

Reviewer: R.Scherer (Karlsruhe)

MSC:

34A60	Ordinary differential inclusions
65D05	Numerical interpolation
49K40	Sensitivity, stability, well-posedness
49K24	Optimal control problems with differential inclusions (nec./ suff.) (MSC2000)
49M25	Discrete approximations in optimal control
65D30	Numerical integration
65L05	Numerical methods for initial value problems involving ordinary differential equations
90C31	Sensitivity, stability, parametric optimization
93B03	Attainable sets, reachability

Keywords:

set-valued interpolation; numerical methods; differential inclusions; sensitivity; stability; finite dimensional optimization problems