@article{0fa7e8e57ff0410fa7b83201ff70f175,
title = "A Nonlinear Small-Gain Theorem for Large-Scale Infinite-Dimensional Systems",
abstract = "This paper develops a large-scale small-gain result for dynamic networks composed of infinite-dimensional subsystems. It is assumed that the subsystems are input-to-output stable (IOS) and unboundedness observable (UO), and the large-scale infinite-dimensional system can be proved to be IOS and UO if the proposed small-gain condition is satisfied.",
keywords = "Infinite-dimensional systems, input-to-output stability (IOS), input-to-state stability (ISS), small-gain theorem",
author = "Adiya Bao and Tengfei Liu and Jiang, {Zhong Ping} and Lina Zhang",
note = "Funding Information: State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China. Email: syeaady@outlook.com; tfliu@mail.neu.edu.cn. JIANG Zhong-Ping Tandon School of Engineering, New York University, Brooklyn, NY 11201, USA. Email: zjiang@nyu.edu. ZHANG Lina State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China. Email: zhangln@mail.neu.edu.cn. ∗This work was supported by the National Science Foundation under Grant No. ECCS-1501044, the National Natural Science Foundation under Grant Nos. 61374042, 61522305, 61633007 and 61533007, and the State Key Laboratory of Intelligent Control and Decision of Complex Systems at BIT. ⋄This paper was recommended for publication by Guest Editor XIN Bin. Publisher Copyright: {\textcopyright} 2018, Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature.",
year = "2018",
month = feb,
day = "1",
doi = "10.1007/s11424-018-7376-5",
language = "English (US)",
volume = "31",
pages = "188--199",
journal = "Journal of Systems Science and Complexity",
issn = "1009-6124",
publisher = "Springer New York",
number = "1",
}