Details Details PDF BIBTEX RIS Title Banach fixed-point theorem in semilinear controllability problems – a survey Journal title Bulletin of the Polish Academy of Sciences Technical Sciences Yearbook 2016 Volume 64 Issue No 1 Authors Klamka, J. ; Babiarz, A. ; Niezabitowski, M. Divisions of PAS Nauki Techniczne Coverage 21-35 Date 2016 Identifier DOI: 10.1515/bpasts-2016-0004 ; ISSN 2300-1917 Source Bulletin of the Polish Academy of Sciences: Technical Sciences; 2016; 64; No 1; 21-35 References Guan (2002), Circuits and On controllability and observability for a class of impulsive systems Control Controllability of non - linear stochastic neutral impulsive systems Nonlinear Anal, Syst Syst Lett, 49, 1198. ; Klamka (2016), Now let us deﬁne the nonlinear operator on as follows Bull Pol and Niezabitowski where ds xT φ ds, Tech, 64. ; Klamka (2016), the restriction of x ( ) to the interval Jk is continuous ; for each t the function is integrable and the impul - sive integral equation Bull Pol and Niezabitowski ds dτds xτ ds is satisﬁed, Tech, 64.