On the stability of nonlinear systems with leakage delay
This paper studies uniqueness and stability of the equilibrium points of nonlinear time-delay systems with leakage delay by using the appropriate model transformation that shifts the considered systems into the neutral-type time-delay systems. Delay-independent sufficient conditions for uniqueness and delay-dependent sufficient conditions for stability are derived, respectively, by using contraction mapping theorem and suitable degenerate LyapunivKrasvovskii functional together with some differential inequalities and LMI technique.
leakage delay nonlinear delay differential equation asymptotical stability exponential stability