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On the optimal control of systems described by implicit evolution equations
Authors:L A Vlasenko  A G Rutkas
Institution:(1) Kharkiv National University, Kharkiv, Ukraine
Abstract:
We obtain conditions for the existence and uniqueness of an optimal control for the linear nonstationary operator-differential equation
$\frac{d}{{dt}}A(t)y(t)] + B(t)y(t) = K(t)u(t) + f(t)$
with a quadratic performance criterion. The operators A(t) and B(t) are closed and may have nontrivial kernels. The results are applied to differential-algebraic equations and to partial differential equations that do not belong to the Cauchy-Kowalewskaya type.
Keywords:
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