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A behavioral approach to estimation in nD systems

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Abstract In this paper we study the problem of estimation for multidimensional systems within the context of the behavioral approach. We consider the case where there are no disturbances as… Click to show full abstract

Abstract In this paper we study the problem of estimation for multidimensional systems within the context of the behavioral approach. We consider the case where there are no disturbances as well as the case where the system dynamics is perturbed, and provide necessary conditions for the solvability of the corresponding estimation problems together with the construction of a solution, if it exists. Such solution is an estimator that is asymptotic, in the sense that the error trajectories are stable with respect to a pre-specified nD stability cone.

Keywords: estimation; approach estimation; behavioral approach; estimation systems

Journal Title: IFAC-PapersOnLine
Year Published: 2020

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