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Contraction Analysis for Discrete-Time Singular Nonlinear Switched Systems Via Their Surrogate Systems under Fully Known Switching Signals

Year: 2024

Type: conference-paper

Abstract: We study the contraction analysis-a notion that ensures the system's trajectories converge exponentially to a certain trajectory-of discrete-time singular nonlinear switched systems under a fully known switching signal. A necessary and sufficient condition for the system to be contracting is provided via a single Lyapunov function approach, which is rather conservative due to the requirement of the existence of a common Lyapunov function for all subsystems. For a less conservative condition, a sufficient condition is then provided via a switched Lyapunov function approach. This approach does not require a common Lyapunov function for all subsystems, nevertheless, it requires that all subsystems are contracting. Finally, the study is complemented with illustrative examples of contracting switched systems.

Source: University of Groningen research database (University of Groningen / Centre for Information Technology)

Authors: Sutrisno, Yin, Hao, Triwiyatno, Aris

Institution: Diponegoro University

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7036771409

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