Nonlinear Phenomena in Complex Systems, 2003, Vol.6, No.2, pp.646-653

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2003, Vol.6, No.2, pp.646-653

Quasistable Control Problems for Differential Inclusions with Delay
L.I. Minchenko and A.A. Volosevich

In this paper the optimal control problems for differential inclusions with delay are considered. The problem of minimization the functional on the set of all admissible trajectories of differential inclusions are formulated. Some estimates for the value function of the problem are obtained. Some results are proved without requirement of convexity for the right part of differential inclusions with delay.
Key words: differential inclusions, optimization, non-smooth analysis, set-valued functions

Full text: Acrobat PDF (160KB) PostScript (352KB) PostScript.gz (166KB)