Abstract
In the paper, a nonlinear positive 2-D control system given by the Goursat-Darboux problem is considered. First, we give sufficient conditions for the system to be positive. Next, we derive an existence result for an optimal control problem of Lagrange type under a convexity assumption.
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Idczak, D., Majewski, M. Nonlinear Positive 2D Systems and Optimal Control. In: Benvenuti, L., De Santis, A., Farina, L. (eds) Positive Systems. Lecture Notes in Control and Information Science, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44928-7_44
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DOI: https://doi.org/10.1007/978-3-540-44928-7_44
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40342-5
Online ISBN: 978-3-540-44928-7
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