Abstract
This paper studies the input-to-output stability (IOS) of nonlinear singular systems and presents the output-Lagrange IOS (OL-IOS) small-gain theorem of the interconnected singular system. The major contribution of this paper includes three aspects. Firstly, the IOS property and OL-IOS property of nonlinear singular systems is established. Secondly, the conditions of IOS small-gain theorem for the interconnected singular system is obtained. Thirdly, the theorems for OL-IOS and the trajectory-based small-gain theorem of interconnected singular system are proposed. Finally, the effectiveness of proposed method is illustrated by using a numerical example.
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