Το work with title Trace bounds on the covariances of continuous-time systems with multiplicative noise by Yannis Phillis, Vassilis S. Kouikoglou is licensed under Creative Commons Attribution 4.0 International
Bibliographic Citation
V. S. Kouikoglou , Y. A. Phillis, "Trace bounds on the covariances of continuous-time systems with multiplicative noise," IEEE Trans. on Aut. control, vol. 38, no. 1, pp. 138- 142, 1993.doi :
10.1109/9.186326
https://doi.org/ 10.1109/9.186326
Matrix equations such as AP+PAT+FPFT+Ω=0 and AQ+QAT+-QVQ+FPFT +Ω=0, which arise in the estimation problem of systems with both additive and multiplicative noise, are treated. Trace bounds on the steady-state and error covariances P and Q are established, under complete and incomplete noise information. An example illustrates the usefulness of these bounds in determining the size of the estimation error