Input-to-state stability and gain computation for networked control systems

Cai，Qianqian1; Fu，Minyue2

2023

10.1007/s11768-023-00152-z

Control Theory and Technology   影响因子和分区

2095-6983

2198-0942

This paper studies the stability problem for networked control systems. A general result, called network gain theorem, is introduced to determine the input-to-state stability (ISS) for interconnected nonlinear systems. We show how this result generalises the previously known small gain theorem and cyclic small gain theorem for ISS. For the case of linear networked systems, a complete characterisation of the stability condition is provided, together with two distributed algorithms for computing the network gain: the classical Jacobi iterations and a message-passing algorithm. For the case of nonlinear networked systems, characterisation of the ISS condition can be done using M-functions, and Jacobi iterations can be used to compute the network gain.

Distributed algorithm Input-to-state stability Networked systems Robust stability Small gain theorem

ESCI

英语

通讯

National Natural Science Foundation of China["U21A20476","U1911401","U22A20221","62273100","62073090"]

Automation & Control Systems

Automation & Control Systems

WOS:001195318700002

SPRINGER MEDIZIN VERLAG GmBH

2-s2.0-85166407552

Scopus

1.School of Automation,Guangdong University of Technology,Guangzhou,Guangdong,510006,China
2.School of System Design and Intelligent Manufacturing,Southern University of Science and Technology,Shenzhen,Guangdong,518055,China

Cai，Qianqian,Fu，Minyue. Input-to-state stability and gain computation for networked control systems[J]. Control Theory and Technology,2023,21(3).

Cai，Qianqian,&Fu，Minyue.(2023).Input-to-state stability and gain computation for networked control systems.Control Theory and Technology,21(3).

Cai，Qianqian,et al."Input-to-state stability and gain computation for networked control systems".Control Theory and Technology 21.3(2023).