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arXiv · 2008.02748

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

Abhijit Mazumdar·Srinivasan Krishnaswamy·Somanath Majhi
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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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Abhijit Mazumdar, Srinivasan Krishnaswamy, Somanath Majhi. 2020-08-06. On Passivity, Feedback Passivity, And Feedback Passivity Over Erasure Network: A Piecewise Affine Approximation Approach. https://arxiv.org/abs/2008.02748

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