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On Passivity, Feedback Passivity, And Feedback Passivity Over Erasure Network: A Piecewise Affine Approximation Approach

2020/08/06 by Abhijit Mazumdar, Mazumdar, Abhijit, Srinivasan Krishnaswamy +3
Computer Science · Engineering · #Control and Stability of Dynamical Systems #FOS: Electrical engineering #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #Systems and Control (eess.SY) #cs.SY #eess.SY #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2008.02748

arxiv created 2020/08/06 · openalex publication_date 2020/08/06 · arxiv updated 2020/08/07 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this paper, we deal with the problem of passivity and feedback passification of smooth discrete-time nonlinear systems by considering their piecewise affine approximations. Sufficient conditions are derived for passivity and feedback passivity. These results are then extended to systems that operate over Gilbert-Elliott type communication channels. As a special case, results for feedback passivity of piecewise affine systems over a lossy channel are also derived.

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