Stochastic controllability of systems with variable delay in control

• Autorzy: Klamka J.
• Języki publikacji: EN

Abstrakty

EN

In the paper finite-dimensional time-variable dynamical control systems described by linear stochastic ordinary differential state equations with single time-variable point delay in the control are considered. Using notations, theorems and methods taken directly from deterministic controllability problems necessary and sufficient conditions for different kinds of stochastic relative controllability in a given time interval are formulated and proved. It will be proved that under suitable assumptions relative controllability of a deterministic linear associated dynamical system is equivalent to stochastic relative exact controllability and stochastic relative approximate controllability of the original linear stochastic dynamical system. Some remarks and comments on the existing results for stochastic controllability of linear dynamical systems are also presented.

Słowa kluczowe

EN

controllability; linear control systems; stochastic control systems; delayed controls

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2008
• Tom: Vol. 56, nr 3
• Strony: 279--284
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Klamka J.

• Institute of Control Engineering, Silesian University of Technology, 16 Akademicka St., 44-100 Gliwice, Poland,

Bibliografia

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