H2 optimal control
A Max-Plus-Based Algorithm for a Hamilton--Jacobi--Bellman Equation of Nonlinear Filtering
SIAM Journal on Control and Optimization
Deterministic and Stochastic Time-Delay Systems
Deterministic and Stochastic Time-Delay Systems
IEEE Transactions on Signal Processing
Nonlinear filtering for state delayed systems with Markovian switching
IEEE Transactions on Signal Processing
Brief Nonlinear H∞ filtering of sampled-data systems
Automatica (Journal of IFAC)
Brief Filtering on nonlinear time-delay stochastic systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
IEEE Transactions on Neural Networks
Noise reduction method for chaotic signals based on dual-wavelet and spatial correlation
Expert Systems with Applications: An International Journal
Recursive estimation of discrete-time signals from nonlinear randomly delayed observations
Computers & Mathematics with Applications
Robust filtering for discrete time piecewise impulsive systems
Signal Processing
H∞ filtering with stochastic sampling
Signal Processing
Brief paper: Distribution function tracking filter design using hybrid characteristic functions
Automatica (Journal of IFAC)
Adaptive chaotic noise reduction method based on dual-lifting wavelet
Expert Systems with Applications: An International Journal
Event-based H∞ filtering for networked system with communication delay
Signal Processing
Journal of Control Science and Engineering - Special issue on Advances in Methods for Control over Networks
Information Sciences: an International Journal
Hi-index | 7.30 |
In this paper, the filtering problem is investigated for a class of nonlinear discrete-time stochastic systems with state delays. We aim at designing a full-order filter such that the dynamics of the estimation error is guaranteed to be stochastically, exponentially, ultimately bounded in the mean square, for all admissible nonlinearities and time delays. First, an algebraic matrix inequality approach is developed to deal with the filter analysis problem, and sufficient conditions are derived for the existence of the desired filters. Then, based on the generalized inverse theory, the filter design problem is tackled and a set of the desired filters is explicitly characterized. A simulation example is provided to demonstrate the usefulness of the proposed design method.