Asymptotic stability in neutral differential equations with multiple delays. (English) Zbl 1362.34112
Summary: The aim of this paper is to investigate the asymptotic stability of
solutions to certain neutral functional differential equations of first order. We
obtain specific sufficient conditions expressed in terms of matrix inequality to
verify the asymptotic stability of solutions. The technique of proof involves
a functional method. We also give an example to illustrate the feasibility
and correctness of the main result by MATLAB-Simulink.
MSC:
34K20 | Stability theory of functional-differential equations |
93D20 | Asymptotic stability in control theory |
34K06 | Linear functional-differential equations |