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A behavioral approach to estimation in nD systems ⁎This research was supported by the Portuguese national funding agency for science, research and technology (FCT), within the Center for Research and Development in Mathematics and Applications (CIDMA), project UID/MAT/04106/2019. Moreover, it was also partially supported by UID/EEA/00147/2019 - Research Center for Systems and Technologies funded by national funds through the FCT/MCTES through national funds (PIDDAC). Issue 2 (2020)
Record Type:
Journal Article
Title:
A behavioral approach to estimation in nD systems ⁎This research was supported by the Portuguese national funding agency for science, research and technology (FCT), within the Center for Research and Development in Mathematics and Applications (CIDMA), project UID/MAT/04106/2019. Moreover, it was also partially supported by UID/EEA/00147/2019 - Research Center for Systems and Technologies funded by national funds through the FCT/MCTES through national funds (PIDDAC). Issue 2 (2020)
Main Title:
A behavioral approach to estimation in nD systems ⁎This research was supported by the Portuguese national funding agency for science, research and technology (FCT), within the Center for Research and Development in Mathematics and Applications (CIDMA), project UID/MAT/04106/2019. Moreover, it was also partially supported by UID/EEA/00147/2019 - Research Center for Systems and Technologies funded by national funds through the FCT/MCTES through national funds (PIDDAC).
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.