TY - JOUR
T1 - An IOS Small-Gain Theorem for Large-Scale Hybrid Systems
AU - Bao, Adiya
AU - Liu, Tengfei
AU - Jiang, Zhong Ping
N1 - Funding Information:
Manuscript received September 11, 2017; revised February 1, 2018, February 3, 2018, and June 6, 2018; accepted June 8, 2018. Date of publication June 14, 2018; date of current version February 26, 2019.This work was supported in part by National Science Foundation under Grant ECCS-1501044, in part by the National Natural Science Foundation of China under Grant 61522305, Grant 61633007, and Grant 61533007, and in part by the State Key Laboratory of Intelligent Control and Decision of Complex Systems at BIT. Recommended by Associate Editor Prof. C. M. Kellet. (Corresponding author: Tengfei Liu.) A. Bao and T. Liu are with the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China (e-mail: [email protected]; [email protected]).
Publisher Copyright:
© 1963-2012 IEEE.
PY - 2019/3
Y1 - 2019/3
N2 - This paper presents a small-gain result for large-scale interconnected systems composed of hybrid subsystems. It is assumed that the subsystems are input-to-output practically stable (IOpS) with offset and unboundedness observability (UO), and the interconnected system can be proved to be IOpS with offset and UO as long as the proposed small-gain condition is satisfied. If, moreover, the assumption of IOpS on the subsystems is reduced to input-to-output stability (IOS), then the interconnected system is IOS.
AB - This paper presents a small-gain result for large-scale interconnected systems composed of hybrid subsystems. It is assumed that the subsystems are input-to-output practically stable (IOpS) with offset and unboundedness observability (UO), and the interconnected system can be proved to be IOpS with offset and UO as long as the proposed small-gain condition is satisfied. If, moreover, the assumption of IOpS on the subsystems is reduced to input-to-output stability (IOS), then the interconnected system is IOS.
KW - Hybrid systems
KW - input-to-output stability (IOS)
KW - large-scale systems
KW - small-gain theorem
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U2 - 10.1109/TAC.2018.2847611
DO - 10.1109/TAC.2018.2847611
M3 - Article
AN - SCOPUS:85048576053
SN - 0018-9286
VL - 64
SP - 1295
EP - 1300
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 3
M1 - 8385193
ER -