Emilia Fridman's method based on time-dependent Lyapunov-Krasovsii functionals
is extended to nonlinear control systems with sector bounded nonlinearity. Furthermore, this
paper considers sampled-data feedback control under uncertain sampling with the known upper
bound on the sampling intervals, where the control function is multiplied by bounded scalar
nonlinear function in system equation. This special case corresponds to many oscillator control
systems, for example, cart-pendulum system. The problem is reduced to feasibility analysis of
linear matrix inequalities based on classical results of V.A. Yakubovich about S-procedure.