Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Continuous-Time Averaged Models of Discrete-Time Stochastic Systems : Survey and Open Problems. / Fradkov, A. L.
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC). IEEE Canada, 2011. p. 2076-2081 (IEEE Conference on Decision and Control).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Continuous-Time Averaged Models of Discrete-Time Stochastic Systems
AU - Fradkov, A. L.
PY - 2011
Y1 - 2011
N2 - A survey of a number of papers devoted to continuous-time modeling of discrete-time stochastic systems is given. It is concluded that, although different approaches to averaged (approximate) models justifying are in use, the procedures of building the averaged (approximate) models are similar in different papers. In addition to the deterministic (ODE) model some stochastic continuous-time models described by SDE are introduced. A new result concerning evaluation of the ODE model accuracy over the infinite time interval under partial stability condition is presented. Applications in adaptation, optimization and control are discussed.
AB - A survey of a number of papers devoted to continuous-time modeling of discrete-time stochastic systems is given. It is concluded that, although different approaches to averaged (approximate) models justifying are in use, the procedures of building the averaged (approximate) models are similar in different papers. In addition to the deterministic (ODE) model some stochastic continuous-time models described by SDE are introduced. A new result concerning evaluation of the ODE model accuracy over the infinite time interval under partial stability condition is presented. Applications in adaptation, optimization and control are discussed.
KW - ALGORITHMS
KW - APPROXIMATIONS
KW - CONVERGENCE
KW - DYNAMICS
KW - ERROR
M3 - статья в сборнике материалов конференции
T3 - IEEE Conference on Decision and Control
SP - 2076
EP - 2081
BT - 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC)
PB - IEEE Canada
Y2 - 12 December 2011 through 15 December 2011
ER -
ID: 76605553