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

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 positiv...

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Bibliographic Details
Published in:Optimization Vol. 43; no. 4; pp. 303 - 321
Main Author: Sach, P.H.
Format: Journal Article
Language:English
Published: Gordon and Breach Science Publishers 01.01.1998
Subjects:
Coderivative
Controllability
Discrete-Time Dynamical System
Reachability
Set-Valued Map
ISSN:0233-1934, 1029-4945
Online Access:Get full text
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Summary: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
ISSN:0233-1934
1029-4945
DOI:10.1080/02331939808844390