The approximation of reachable domains of control systems

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Abstract

The problem of constructing reachable domains (RDs) of a non-linear control system functioning over a finite time interval is considered. A method is proposed for the approximate construction of RDs, based on partitioning the phase space of the system by an ϵ-lattice. Estimate. are obtained for the accuracy of the approximate RDs. An example is presented.

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    Prikl. Mat. Mekh. Vol. 62, No. 2, pp. 179–187, 1998.

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