Stabilizing solution and parameter dependence of modified algebraic Riccati equation with application to discrete-time network synchronization

Michael Z. Q. Chen; Liangyin Zhang; Housheng Su; Guanrong Chen

doi:10.1109/TAC.2015.2434011

Author(s)

Michael Z. Q. Chen
Liangyin Zhang
Housheng Su
Guanrong Chen

Related Research Unit(s)

Department of Electrical Engineering

Detail(s)

Original language	English
Pages (from-to)	228-233
Journal / Publication	IEEE Transactions on Automatic Control
Volume	61
Issue number	1
Online published	15 May 2015
Publication status	Published - Jan 2016

Link(s)

DOI	DOI https://doi.org/10.1109/TAC.2015.2434011 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84961762817&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(20140100-80f8-4632-8987-8878a5bbae5f).html

Abstract

This technical note deals with a modified algebraic Riccati equation (MARE) and its corresponding inequality and difference equation, which arise in modified optimal control and filtering problems and are introduced into the cooperative control problems recently. The stabilizing property of the solution to MARE is presented. Then, the uniqueness is proved for the almost stabilizing and positive semi-definite solution. Next, the parameter dependence of MARE is analyzed. An obtained parameter dependence result is finally applied to the study of semi-global synchronization of leader-following networks with discrete-time linear dynamics subject to actuator saturation.

Research Area(s)

Input saturation, parameter dependence, Riccati equation/inequality, stabilizing solution, synchronization

Citation Format(s)

[ RIS ] [ BibTeX ]

Stabilizing solution and parameter dependence of modified algebraic Riccati equation with application to discrete-time network synchronization. / Chen, Michael Z. Q.; Zhang, Liangyin; Su, Housheng; Chen, Guanrong.

In: IEEE Transactions on Automatic Control, Vol. 61, No. 1, 01.2016, p. 228-233.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Chen, MZQ, Zhang, L, Su, H & Chen, G 2016, 'Stabilizing solution and parameter dependence of modified algebraic Riccati equation with application to discrete-time network synchronization', IEEE Transactions on Automatic Control, vol. 61, no. 1, pp. 228-233. https://doi.org/10.1109/TAC.2015.2434011

Chen, M. Z. Q., Zhang, L., Su, H., & Chen, G. (2016). Stabilizing solution and parameter dependence of modified algebraic Riccati equation with application to discrete-time network synchronization. IEEE Transactions on Automatic Control, 61(1), 228-233. https://doi.org/10.1109/TAC.2015.2434011

Chen MZQ, Zhang L, Su H, Chen G. Stabilizing solution and parameter dependence of modified algebraic Riccati equation with application to discrete-time network synchronization. IEEE Transactions on Automatic Control. 2016 Jan;61(1):228-233. https://doi.org/10.1109/TAC.2015.2434011

Chen, Michael Z. Q. ; Zhang, Liangyin ; Su, Housheng ; Chen, Guanrong. / Stabilizing solution and parameter dependence of modified algebraic Riccati equation with application to discrete-time network synchronization. In: IEEE Transactions on Automatic Control. 2016 ; Vol. 61, No. 1. pp. 228-233.