Baranova, O. V. Uniform global controllability of a linear system with stationary random parameters. (English. Russian original) Zbl 0795.93013 Differ. Equations 27, No. 11, 1289-1295 (1991); translation from Differ. Uravn. 27, No. 11, 1843-1850 (1991). Summary: This is an investigation of the uniform global controllability of the system \[ \dot x= A(t,\omega)x+ B(t,\omega)u,\quad \omega\in \Omega, \] to zero, with a given probability, where \(x\) is the \(n\)-phase vector, \(u\) is the \(m\)-dimensional control, and \(A\) and \(B\) are random matrices.Global and uniform global controllability of a system in the determinate case are investigated by E. L. Tonkov [ibid. 19, No. 2, 269-278 (1983; Zbl 0528.93017)]. In the present work some of the results of this theory are extended to apply to systems with stationary random parameters. Such problems arise in various practical cases in the investigation of systems subjected to random perturbations. Cited in 3 Documents MSC: 93B05 Controllability 93C15 Control/observation systems governed by ordinary differential equations 93C73 Perturbations in control/observation systems Keywords:uniform global controllability; random perturbations Citations:Zbl 0528.93017 PDFBibTeX XMLCite \textit{O. V. Baranova}, Differ. Equations 27, No. 11, 1289--1295 (1991; Zbl 0795.93013); translation from Differ. Uravn. 27, No. 11, 1843--1850 (1991)