Unification of a differential inclusion with parameter in the guidance problem

Abstract

A differential inclusion (d.i.) with a parameter α ∈ ℒ, where ℒ is a compact set in a finite-dimensional Euclidean space is considered. The problem under study is one of guiding a d.i. to a given compact set M in the phase space of the d.i. at a fixed moment of time. Issues concerning the unification of the d.i. with a parameter are discussed. A specific feature of the present unification is that it is performed for a parameterdependent d.i. that cannot be initially structured by a vector function similar to those determining the dynamics of systems in control and conflict control problems.