title: State estimation for jumping recurrent neural networks with discrete and distributed delays.
abstract: This paper is concerned with the state estimation problem for a class of Markovian neural networks with discrete and distributed time-delays. The neural networks have a finite number of modes, and the modes may jump from one to another according to a Markov chain. The main purpose is to estimate the neuron states, through available output measurements, such that for all admissible time-delays, the dynamics of the estimation error is globally asymptotically stable in the mean square. An effective linear matrix inequality approach is developed to solve the neuron state estimation problem. Both the existence conditions and the explicit characterization of the desired estimator are derived. Furthermore, it is shown that the traditional stability analysis issue for delayed neural networks with Markovian jumping parameters can be included as a special case of our main results. Finally, numerical examples are given to illustrate the applicability of the proposed design method.
authors.affiliation: Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, UK. Zidong.Wang@brunel.ac.uk
authors.forename: Zidong
authors.initials: Z
authors.lastname: Wang
authors.forename: Yurong
authors.initials: Y
authors.lastname: Liu
authors.forename: Xiaohui
authors.initials: X
authors.lastname: Liu
mesh_terms: D000465:Algorithms; D001921:Brain / Q000502:physiology; D008390:Markov Chains; D009415:Nerve Net / Q000502:physiology; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology