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- W2728144347 abstract "Abstract Some results on singular perturbations in optimal control problems of Soviet authors are surveyed. Asymptotic solution of the two-point singular perturbed boundary value problems, appearing in the optimal control theory with an unbounded control, is constructed by the method of boundary layer functions. The state feedback matrix of a linear system with respect to a quadratic performance index is the solution of the matrix Riccati differential equation with singular initial values. The asymtotic solution of this initial value problem has certain peculiarities. Some statements regarding a strong (weak) convergence of solutions of perturbed problems to corresponding solutions of reduced-order problems are established for certain linear and nonlineer optimal control problems with control constraints. Analogous results take place for optimal control problems with differential equations with a small time delay and for discrete optimal control problems with a small step." @default.
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- W2728144347 date "1978-01-01" @default.
- W2728144347 modified "2023-09-26" @default.
- W2728144347 title "Singular Perturbations and Some Optimal Control Problems" @default.
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- W2728144347 doi "https://doi.org/10.1016/s1474-6670(17)66041-5" @default.
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