Abstract
In this paper, we focus on the stability of asynchronous sampled-data interconnected systems and the evaluation of how asynchronous sampling and time delays degrade the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\mathcal {L}_{2}$</tex-math></inline-formula> gains from exogenous inputs to controlled outputs. To judge the stability and evaluate the performance of systems, an integral approach is proposed and it combines a revised form of ISS (input-to-state stability) Lyapunov conditions with an integral description of bounded measurement errors. Practical procedures for the application of the approach are further presented. In the case with shared sampling periods, a time-translation approach is introduced to investigate the relationship between asynchronous sampling and time delays.
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