Kalman filtering with random coefficients and contractions
SIAM Journal on Control and Optimization
Stability of Kalman filtering with Markovian packet losses
Automatica (Journal of IFAC)
Brief paper: Stability robustness of networked control systems with respect to packet loss
Automatica (Journal of IFAC)
Brief paper: Optimal linear estimation for systems with multiple packet dropouts
Automatica (Journal of IFAC)
Probabilistic performance of state estimation across a lossy network
Automatica (Journal of IFAC)
Kalman filtering with faded measurements
Automatica (Journal of IFAC)
State control in networked control systems under packet drops and limited transmission bandwidth
IEEE Transactions on Communications
Hi-index | 22.15 |
This paper studies the stability of Kalman filtering over a network subject to random packet losses, which are modeled by a time-homogeneous ergodic Markov process. For second-order systems, necessary and sufficient conditions for stability of the mean estimation error covariance matrices are derived by taking into account the system structure. While for certain classes of higher-order systems, necessary and sufficient conditions are also provided to ensure stability of the mean estimation error covariance matrices. All stability criteria are expressed by simple inequalities in terms of the largest eigenvalue of the open loop matrix and transition probabilities of the Markov process. Their implications and relationships with related results in the literature are discussed.