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Sufficient conditions for the controllability of nonlinear distributed systems

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Abstract

For nonlinear distributed systems representable as a Volterra functional operator equation in a Lebesgue space, sufficient conditions for pointwise controllability with respect to a vector of non-linear functionals are proved. The controls are assumed to be piecewise constant vector functions. The reduction of controlled distributed systems to the functional operator equation under study is illustrated by two examples: a Dirichlet boundary value problem for the diffusion equation and a mixed problem for the transport equation.

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  1. Nizhnii Novgorod State University, pr. Gagarina 23, Nizhni Novgorod, 603950, Russia

    A. V. Chernov

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  1. A. V. Chernov
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Original Russian Text © A.V. Chernov, 2012, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2012, Vol. 52, No. 8, pp. 1400–1414.

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Chernov, A.V. Sufficient conditions for the controllability of nonlinear distributed systems. Comput. Math. and Math. Phys. 52, 1115–1127 (2012). https://doi.org/10.1134/S0965542512050053

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