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pro vyhledávání: '"E. V. Karachanskaya"'
Publikováno v:
Automatic Control and Computer Sciences. 55:941-948
Autor:
E. V. Karachanskaya
Publikováno v:
Journal of Mathematical Sciences. 248:67-79
In this paper, we suggest a new type of tasks for control theory for stochastic dynamical systems — programmed control with Probability 1 (PCP1). PCP1 is an application of an invariant theory. We use the PCP1 concept for dynamical processes describ
Autor:
E. V. Karachanskaya
Publikováno v:
Siberian Advances in Mathematics. 26:17-29
For the first time we present a complete proof (from the standpoint of stochastic analysis) of the generalized Ito–Venttsel’ formula whose ideas were adduced in [8]. The proposed proof is an approach to construct the generalized Ito–Venttsel’
Autor:
E. V. Karachanskaya
Publikováno v:
Siberian Advances in Mathematics. 25:191-205
We deduce an analog of the Ito–Venttsel’ formula for an Ito system of generalized stochastic differential equations (GSDE) with noncentered measure on the basis of a stochastic kernel of an integral invariant. We construct a system of GSDE whose
Autor:
E. V. Karachanskaya
Publikováno v:
Journal of Mathematical Sciences. 199:547-555
Based on the set of first integrals, we solve a programmed control problem for a nonlinear dynamic system with a random noise.