Convexity of the Set of Fixed Points Generated by Some Control Systems
We deal with an application of the fixed point theorem for nonexpansive mappings to a class of control systems. We study closed-loop and open-loop controllable dynamical systems governed by ordinary differential equations (ODEs) and establish convexity of the set of trajectories. Solutions to the ab...
Saved in:
Main Author: | Vadim Azhmyakov |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2009-01-01
|
Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2009/291849 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Optimal Control of Mechanical Systems
by: Vadim Azhmyakov
Published: (2007-01-01) -
LNC points for m-convex sets
by: Marilyn Breen
Published: (1981-01-01) -
Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings
by: Zeqing Liu, et al.
Published: (2012-01-01) -
Ordered Uniform Convexity in Ordered Convex Metric Spaces with an Application to Fixed Point Theory
by: Ismat Beg
Published: (2022-01-01) -
Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
by: A. Kaewcharoen, et al.
Published: (2008-01-01)