English

Stability of the nonlinear filter for slowly switching Markov chains

Probability 2007-05-23 v3 Dynamical Systems

Abstract

Exponential stability of the nonlinear filtering equation is revisited, when the signal is a finite state Markov chain. An asymptotic upper bound for the filtering error due to incorrect initial condition is derived in the case of slowly switching signal.

Keywords

Cite

@article{arxiv.math/0411596,
  title  = {Stability of the nonlinear filter for slowly switching Markov chains},
  author = {P. Chigansky},
  journal= {arXiv preprint arXiv:math/0411596},
  year   = {2007}
}

Comments

the final version

R2 v1 2026-07-22T17:12:49.775Z