Abstract
In this paper nonlinear minimum phase systems with time delay in state variables are considered. Time delay is an applied problem. It is well known that some examples are given in biology chemistry, economics, mechanics, physics, physiology, population dynamics, as well as in engineering sciences. Stability theory on the time delay system, generally expressed as functional differential equation, is useful to address those problems. However stability theory of functional differential equation is immature, and further development is expected. In the case of nonlinear functional differential equation, effective analysis tools are limited to Lyapunov-Krasovskii pan-function and Lyapunov-Razumikhin function. Objective in this paper is to propose one of the stability distinctions toward nonlinear functional differential equation.
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