Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ABSTRACT,  consider the H2 filtering problem for a discrete-time Markov jump linear systemin which the Markov parameter is not available. In the spirit of active fault-tolerant control systems, it is supposed that there is a discrete-time hidden Markov model (θ(k),θ^(k)) in which the observable part θ^(k) represents the information coming from a detector and available to the filter while the hidden part θ(k) of the process represents the dynamics of the real system. Several models found in the literature are encompassed by this framework, like the complete observation case, the clustering information case, the mode-independent case, and Markov models in fault-tolerant control.  start by analysing an auxiliary filtering problem in which it is assumed that both (θ(k),θ^(k)) are available to the filter, so that necessary and sufficient conditions in terms of LMI (linear matrix inequalities) for the existence of the optimal filter can be obtained. In the sequel,  consider the realistic case...
['A. M. de Oliveira', 'O.L.V. Costa']
I am writing a research paper on a idea H2-Filtering for discrete-time hidden Markov jump systems
[{"from": "human", "value": "I am writing a research paper on a idea H2-Filtering for discrete-time hidden Markov jump systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ABSTRACT,  consider the H2 filtering problem for a discrete-time Markov jump linear systemin which the Markov parameter is not available. In the spirit of active fault-tolerant control systems, it is supposed that there is a discrete-time hidden Markov model (\u03b8(k),\u03b8^(k)) in which the observable part \u03b8^(k) represents the information coming from a detector and available to the filter while the hidden part \u03b8(k) of the process represents the dynamics of the real system. Several models found in the literature are encompassed by this framework, like the complete observation case, the clustering information case, the mode-independent case, and Markov models in fault-tolerant control.  start by analysing an auxiliary filtering problem in which it is assumed that both (\u03b8(k),\u03b8^(k)) are available to the filter, so that necessary and sufficient conditions in terms of LMI (linear matrix inequalities) for the existence of the optimal filter can be obtained. In the sequel,  consider the realistic case..."}]