Sufficient conditions for reachability and controllability of discrete systems with phase constraints

Abstract

The paper gives sufficient conditions for local reachability and local controllability in the following discrete-time dynamical system

with phase constraints where F_k is a closed set-valued map from a finite-dimensional Euclidean space X into itselfM_k is closed subset of X and K is a fixed positive integer. The main tools one uses are different notions of coderivatives of set-valued maps and normal cones of sets

Keywords:

• Controllability
• Reachability
• Discrete-Time Dynamical System
• Set-Valued Map
• Coderivative