AN OPTIMIZATION OF MAXIMAL INVARIANCE IN A CLASS OF MULTIPLE VALUED ITERATIVE DYNAMICS MODELS OF NONLINEAR DISTURBED CONTROL SYSTEMS-Reference-Cited by-同舟云学术

AN OPTIMIZATION OF MAXIMAL INVARIANCE IN A CLASS OF MULTIPLE VALUED ITERATIVE DYNAMICS MODELS OF NONLINEAR DISTURBED CONTROL SYSTEMS

Published:2016-12 Issue:04 Volume:24 Page:1650044
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

KAHNG BYUNGIK¹

Affiliation:

1. Department of Mathematics and Information Sciences, University of North Texas at Dallas, Dallas TX 75241, USA

Abstract

We discuss an optimization problem on the maximal invariance of a class of multiple-valued iterative dynamics (MVID) models of discrete-time nonlinear control dynamical systems with singular disturbance. We study the inner and outer bounds of the maximal invariance, between which all noninterfering MVID models of nonlinear discrete-time control dynamical systems with singular disturbance reside. We also study the invariant fractal structure and an optimization of Lyapunov multipliers associated to it.

Funder

National Science Foundation

NSA

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X16500444

Reference17 articles.

1. MULTIPLE VALUED ITERATIVE DYNAMICS MODELS OF NONLINEAR DISCRETE-TIME CONTROL DYNAMICAL SYSTEMS WITH DISTURBANCE

2. Set invariance in control

3. Set-Theoretic Methods in Control

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