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Asymptotic solution of a singularly perturbed set of functional-differential equations of Riccati type encountered in the optimal control theory

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Abstract.

The boundary-value problem for the set of functional-differential equations with partial derivatives of Riccati type, associated with a singularly perturbed linear-quadratic optimal control problem with delay in state, is considered. The expression for a solution of the problem, which transforms it to the explicit singular perturbation form, is proposed. An asymptotic solution of this problem is constructed.

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    1. Valery Y. Glizer
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    Received August 7, 1997

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    Glizer, V. Asymptotic solution of a singularly perturbed set of functional-differential equations of Riccati type encountered in the optimal control theory. NoDEA, Nonlinear differ. equ. appl. 5, 491–515 (1998). https://doi.org/10.1007/s000300050059

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    • DOI: https://doi.org/10.1007/s000300050059

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