Mixed H∞/ passive synchronization for complex dynamical networks with sampled-data control

Ju H. Park; Hao Shen; Xiao Heng Chang; Tae H. Lee

doi:10.1007/978-3-319-96202-3_11

Mixed H_∞/ passive synchronization for complex dynamical networks with sampled-data control

Ju H. Park^*
, Hao Shen
, Xiao Heng Chang
, Tae H. Lee

^*Corresponding author for this work

Division of Electronic Engineering

Yeungnam University
Anhui University of Technology
Wuhan University of Science and Technology

Research output: Contribution to conference › Chapter › peer-review

1 Scopus citations

Abstract

In this chapter, the mixed H_∞/ passive synchronization for complex dynamical networks with time-varying delays via a sampled-data control is investigated. The main objective is to synthesize a controller such that the closed-loop system is exponentially stable and satisfies a mixed H_∞/ passive performance. A delay-dependent Lyapunov functional combined with some novel integral inequalities is employed to reduce the conservatism. In this case, a sufficient condition, which guarantees the existence of the desired controller is presented. Finally, an example is given to show the effectiveness and improvement of the proposed scheme.

Original language	English
Title of host publication	Studies in Systems, Decision and Control
Publisher	Springer International Publishing
Pages	211-223
Number of pages	13
DOIs	https://doi.org/10.1007/978-3-319-96202-3_11
State	Published - 2019

Publication series

Name	Studies in Systems, Decision and Control
Volume	170
ISSN (Print)	2198-4182
ISSN (Electronic)	2198-4190

Keywords

Complex dynamical networks
Mixed H/ passive synchronization control
Sampled-data control
Time-varying delays

Quacquarelli Symonds(QS) Subject Topics

Engineering - Mechanical
Computer Science & Information Systems
Mathematics
Data Science
Economics & Econometrics

Access to Document

10.1007/978-3-319-96202-3_11

Cite this

@inbook{ad4e54fc29cf428fa0ef729eccd81adc,

title = "Mixed H∞/ passive synchronization for complex dynamical networks with sampled-data control",

abstract = "In this chapter, the mixed H∞/ passive synchronization for complex dynamical networks with time-varying delays via a sampled-data control is investigated. The main objective is to synthesize a controller such that the closed-loop system is exponentially stable and satisfies a mixed H∞/ passive performance. A delay-dependent Lyapunov functional combined with some novel integral inequalities is employed to reduce the conservatism. In this case, a sufficient condition, which guarantees the existence of the desired controller is presented. Finally, an example is given to show the effectiveness and improvement of the proposed scheme.",

keywords = "Complex dynamical networks, Mixed H/ passive synchronization control, Sampled-data control, Time-varying delays",

author = "Park, \{Ju H.\} and Hao Shen and Chang, \{Xiao Heng\} and Lee, \{Tae H.\}",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG, part of Springer Nature 2019.",

year = "2019",

doi = "10.1007/978-3-319-96202-3\_11",

language = "English",

series = "Studies in Systems, Decision and Control",

publisher = "Springer International Publishing",

pages = "211--223",

booktitle = "Studies in Systems, Decision and Control",

}

TY - CHAP

T1 - Mixed H∞/ passive synchronization for complex dynamical networks with sampled-data control

AU - Park, Ju H.

AU - Shen, Hao

AU - Chang, Xiao Heng

AU - Lee, Tae H.

PY - 2019

Y1 - 2019

N2 - In this chapter, the mixed H∞/ passive synchronization for complex dynamical networks with time-varying delays via a sampled-data control is investigated. The main objective is to synthesize a controller such that the closed-loop system is exponentially stable and satisfies a mixed H∞/ passive performance. A delay-dependent Lyapunov functional combined with some novel integral inequalities is employed to reduce the conservatism. In this case, a sufficient condition, which guarantees the existence of the desired controller is presented. Finally, an example is given to show the effectiveness and improvement of the proposed scheme.

AB - In this chapter, the mixed H∞/ passive synchronization for complex dynamical networks with time-varying delays via a sampled-data control is investigated. The main objective is to synthesize a controller such that the closed-loop system is exponentially stable and satisfies a mixed H∞/ passive performance. A delay-dependent Lyapunov functional combined with some novel integral inequalities is employed to reduce the conservatism. In this case, a sufficient condition, which guarantees the existence of the desired controller is presented. Finally, an example is given to show the effectiveness and improvement of the proposed scheme.

KW - Complex dynamical networks

KW - Mixed H/ passive synchronization control

KW - Sampled-data control

KW - Time-varying delays

UR - https://www.scopus.com/pages/publications/85051703325

U2 - 10.1007/978-3-319-96202-3_11

DO - 10.1007/978-3-319-96202-3_11

M3 - Chapter

AN - SCOPUS:85051703325

T3 - Studies in Systems, Decision and Control

SP - 211

EP - 223

BT - Studies in Systems, Decision and Control

PB - Springer International Publishing

ER -