Delay-distribution based stability analysis of time-delayed port-Hamiltonian systems

Authors

Pankaj Mukhija, I. N. Kar, R. K. P. Bhatt

Abstract

In this paper, the problem of stability analysis of time-delayed port-Hamiltonian systems with probabilistic time-varying delay has been considered. The time-delay variation range is divided into two sub-intervals. By considering the probability distribution of the time-varying delay between the two sub-intervals and the knowledge of the delay variation range, a novel linear matrix inequality (LMI) based stability condition is derived by defining a Lyapunov-Krasovskii functional. It is illustrated with the help of a numerical example that as the probability of delay taking a small value increases, the upper delay bound increases.

Citation

• Journal: 2012 IEEE International Conference on Signal Processing, Computing and Control
• Year: 2012
• Volume:
• Issue:
• Pages: 1–5
• Publisher: IEEE
• DOI: 10.1109/ispcc.2012.6224345

BibTeX

@inproceedings{Mukhija_2012,
  title={{Delay-distribution based stability analysis of time-delayed port-Hamiltonian systems}},
  DOI={10.1109/ispcc.2012.6224345},
  booktitle={{2012 IEEE International Conference on Signal Processing, Computing and Control}},
  publisher={IEEE},
  author={Mukhija, Pankaj and Kar, I. N. and Bhatt, R. K. P.},
  year={2012},
  pages={1--5}
}

Download the bib file

References

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