Feedback regulation of a logistic growth with variable coefficients

Sufficient conditions are established for the global asymptotic stability o f the steady state of a regulated logistic growth with variable coefficient s in the state feedback of the control modelled by dn(t)/dt = r(t)n(t)[1 - n(t - tau)/k - c mu (t)] d mu (t)/dt = -a mu (t) + bn(t - tau), where mu denotes an indirect control variable; k, tau, a, b, and c are posi tive constants; and r(t) is an element of C([0,infinity),(0, infinity)). So me known results are generalized and improved. (C) 2001 Academic Press.