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  • This paper deals with optimal state estimation problem of both singular and especially non-singular stochastic causal systems solution of which is based on recently submitted new pproach to system theory. The solution to so important a task is well known as the Kalman filtering. However, some surprisingly serious problems arise in case of stochastic system with singular uncertainty in the continuous-time domain. The presented solution transforms, according to the new approach to system theory, the original problem into the discrete-time domain whereupon the optimal discrete-time Kalman filter can be designed. In regard of the given continuous-time problem, the obtained estimator is to be transformed from the discrete-time to the continuous-time domain. Such a transformation procedure is called the continualisation process. The solution leads to utilization of backward derivatives.
  • This paper deals with optimal state estimation problem of both singular and especially non-singular stochastic causal systems solution of which is based on recently submitted new pproach to system theory. The solution to so important a task is well known as the Kalman filtering. However, some surprisingly serious problems arise in case of stochastic system with singular uncertainty in the continuous-time domain. The presented solution transforms, according to the new approach to system theory, the original problem into the discrete-time domain whereupon the optimal discrete-time Kalman filter can be designed. In regard of the given continuous-time problem, the obtained estimator is to be transformed from the discrete-time to the continuous-time domain. Such a transformation procedure is called the continualisation process. The solution leads to utilization of backward derivatives. (en)
Title
  • Optimal state estimation of singular stochastic systems
  • Optimal state estimation of singular stochastic systems (en)
skos:prefLabel
  • Optimal state estimation of singular stochastic systems
  • Optimal state estimation of singular stochastic systems (en)
skos:notation
  • RIV/49777513:23520/02:00069649!RIV/2003/MSM/235203/N
http://linked.open.../vavai/riv/strany
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  • RIV/49777513:23520/02:00069649
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  • Kalman filter;optimal estimation;stochastic causal system;system theory;singular uncertainty (en)
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  • [04153A098AE2]
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  • Optimal state estimation of singular stochastic systems
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  • Žampa, Pavel
  • Arnošt, René
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http://linked.open...n/vavai/riv/zamer
number of pages
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  • Neuveden
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  • 23520
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