English

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

Systems and Control 2020-08-07 v1 Systems and Control

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.

Keywords

Cite

@article{arxiv.2008.02748,
  title  = {On Passivity, Feedback Passivity, And Feedback Passivity Over Erasure Network: A Piecewise Affine Approximation Approach},
  author = {Abhijit Mazumdar and Srinivasan Krishnaswamy and Somanath Majhi},
  journal= {arXiv preprint arXiv:2008.02748},
  year   = {2020}
}
R2 v1 2026-06-23T17:41:12.197Z