The maximum principle in linear problems with mixed convex constraints (in Russian)

  • Avram Ya. Dubovitskii

    Russian Academy of Sciences, Moscow, Russian Federation
  • Aleksey A. Milyutin

    Russian Academy of Sciences, Moscow, Russian Federation

Abstract

We study linear control problems with mixed convex restrictions, which are discontinuous with respect to time, for both trajectories and controls and with arbitrary pointwise restrictions for some components of the control vector. Under the assumption that the problem has a finite infimum, we found the theory of the maximum principle.

Cite this article

Avram Ya. Dubovitskii, Aleksey A. Milyutin, The maximum principle in linear problems with mixed convex constraints (in Russian). Z. Anal. Anwend. 4 (1985), no. 2, pp. 133–191

DOI 10.4171/ZAA/143