1. Derived cones to reachable sets of a nonlinear differential inclusion
- Creator:
- Cernea, Aurelian
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- derived cone, m-dissipative operator, and local controllability
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public