31 citations · 137 across the 73 of their papers we have counts for
Showing 2010 · math.OCShow all
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math.OC2010
A frequency criterion for the existence of an optimal control for Ito equations
Nikolai Dokuchaev
The following optimization problem is considered. For a linear vector Ito equation. it is required to find an optimal deterministic control vector which minimizes a quadratic the f…
math.OC2010
On sub-ideal causal smoothing filters
Nikolai Dokuchaev
Smoothing causal linear time-invariant filters are studied for continuous time processes. The paper suggests a family of causal filters with almost exponential damping of the energ…
math.OC2010
The integral estimations for ordinary differential equations and its application to the non-smooth optimal control problems
Nikolai Dokuchaev
The paper studies integral functionals with non-smooth functions from L_2 defined on solutions of ODEs. Some regularity is obtained in the form of estimates of L_2-norm for these f…