TY - GEN
T1 - Stochastic controllability of nonlinear systems
AU - Klamka, Jerzy
AU - Ferenstein, Elzbieta
PY - 2011
Y1 - 2011
N2 - In the paper stochastic dynamical control systems described by nonlinear stationary ordinary differential state equations are considered. Using a generalized open mapping theorem, sufficient conditions for constrained local stochastic controllability in a given time interval are formulated and proved. It is generally assumed, that the values of admissible controls are in a convex and closed cone with vertex at zero. Illustrative examples are presented. Some remarks and comments on the existing results for controllability of nonlinear stochastic dynamical control systems are also presented.
AB - In the paper stochastic dynamical control systems described by nonlinear stationary ordinary differential state equations are considered. Using a generalized open mapping theorem, sufficient conditions for constrained local stochastic controllability in a given time interval are formulated and proved. It is generally assumed, that the values of admissible controls are in a convex and closed cone with vertex at zero. Illustrative examples are presented. Some remarks and comments on the existing results for controllability of nonlinear stochastic dynamical control systems are also presented.
KW - Constrained controllability
KW - Continuous-time systems
KW - Nonlinear systems
KW - Stochastic systems
UR - https://www.scopus.com/pages/publications/82555200707
M3 - Conference contribution
AN - SCOPUS:82555200707
SN - 9781618040046
T3 - Recent Researches in Automatic Control - 13th WSEAS International Conference on Automatic Control, Modelling and Simulation, ACMOS'11
SP - 69
EP - 74
BT - Recent Researches in Automatic Control - 13th WSEAS International Conference on Automatic Control, Modelling and Simulation, ACMOS'11
T2 - 13th WSEAS International Conference on Automatic Control, Modelling and Simulation, ACMOS'11
Y2 - 27 May 2011 through 29 May 2011
ER -