Derived cones to reachable sets of a nonlinear differential inclusion

Title:

Derived cones to reachable sets of a nonlinear differential inclusion

Creator:

Cernea, Aurelian

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:b6883f8e-6553-4c76-95ea-1d38bd5ca229
uuid:b6883f8e-6553-4c76-95ea-1d38bd5ca229
doi:10.21136/MB.2014.144134

Subject:

derived cone, m-dissipative operator, and local controllability

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We consider a nonlinear differential inclusion defined by a set-valued map with nonconvex values and we prove that the reachable set of a certain variational inclusion is a derived cone in the sense of Hestenes to the reachable set of the initial differential inclusion. In order to obtain the continuity property in the definition of a derived cone we use a continuous version of Filippov's theorem for solutions of our differential inclusion. As an application, in finite dimensional spaces, we obtain a sufficient condition for local controllability along a reference trajectory.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

567-575

Source:

Mathematica bohemica | 2014 Volume:139 | Number:4

Harvested from:

CDK

Metadata only:

false