Robust output controllability analysis and control design for incomplete Boolean networks with disturbance inputs
type: Item
instance of: scholarly article
title: Robust output controllability analysis and control design for incomplete Boolean networks with disturbance inputs
zbMATH Open document ID: 1426.93026
DOI: 10.1155/2018/2940105
author: Lei Deng
author: Shihua Fu
author: Ying Li
author: Peiyong Zhu
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper addresses the problems of robust-output-controllability and robust optimal output control for incomplete Boolean control networks with disturbance inputs. First, by resorting to the semi-tensor product technique, the system is expressed as an algebraic form, based on which several necessary and sufficient conditions for the robust output controllability are presented. Second, the Mayer-type robust optimal output control issue is studied and an algorithm is established to find a control scheme which can minimize the cost functional regardless of the effect of disturbance inputs. Finally, a numerical example is given to demonstrate the effectiveness of the obtained new results.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B70
Mathematics Subject Classification ID: 93C29
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 7018732
zbMATH Keywords: controllability
zbMATH Keywords: incomplete Boolean networks
zbMATH Keywords: robust optimal output control
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2940105
OpenAlex ID: W2901247039
cites work: Analysis and control of Boolean networks. A semi-tensor product approach.
cites work: Controllability and observability of Boolean control networks
cites work: An Improved Criterion for Controllability of Boolean Control Networks
cites work: New procedures for selecting the k-best exponential populations
cites work: Pinning control design for feedback stabilization of constrained Boolean control networks
cites work: Disturbance Decoupling of Boolean Control Networks
cites work: Disturbance decoupling of mix-valued logical networks via the semi-tensor product method
cites work: Output Regulation of Boolean Control Networks
cites work: A Maximum Principle for Single-Input Boolean Control Networks
cites work: Modelling and strategy optimisation for a kind of networked evolutionary games with memories under the bankruptcy mechanism
cites work: Output controllability of the discrete-time linear switched systems
cites work: Output controllability and optimal output control of state-dependent switched Boolean control networks
cites work: Robust finite-time stability of singular nonlinear systems with interval time-varying delay
cites work: \(p\)th moment exponential stability of impulsive stochastic functional differential equations and application to control problems of NNs
cites work: Delay-dependent global asymptotic stability criteria for stochastic genetic regulatory networks with Markovian jumping parameters
cites work: On robust control invariance of Boolean control networks
cites work: Incomplete Logical Control System and its Application to Some Intellectual Problems
cites work: A Matrix Approach to the Analysis and Control of Networked Evolutionary Games with Bankruptcy Mechanism
cites work: Some necessary and sufficient conditions for the output controllability of temporal Boolean control networks
Wikidata QID: Q128905087
description: scientific article; zbMATH DE number 7018732