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.
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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.
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Bao, A., Liu, T., Jiang, ZP. et al. A Nonlinear Small-Gain Theorem for Large-Scale Infinite-Dimensional Systems. J Syst Sci Complex 31, 188–199 (2018). https://doi.org/10.1007/s11424-018-7376-5
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DOI: https://doi.org/10.1007/s11424-018-7376-5