Observability of nonlinear control systems on time scales |
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| Authors: | Ewa Paw?uszewicz |
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| Affiliation: | 1. Faculty of Mechanical Engineering , Bia?ystok University of Technology , Bia?ystok 15-351 , Poland;2. Department of Mathematics , University of Aveiro , Aveiro 3810-193 , Portugal e.pawluszewicz@pb.edu.pl |
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| Abstract: | The problem of observability of the family of nonlinear control systems defined on any time scale and parameterised by time instant t 0 is developed. Necessary and sufficient conditions for observability are given. Because time scale is a rich model of time that includes continuous- and discrete-time models as standard cases, the obtained results extend classical observability rank conditions given for continuous-time systems and discrete-time systems. |
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| Keywords: | nonlinear systems on time scales indistinguishability relation family of observation sets observability rank condition |
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