Robustness Analysis of Control Laws in Complex Dynamical Networks Evoked by Deviating Argument

In recent years, robust performance of the system has been broadly studied as a trending topic among vast array scholars. This paper discusses robustness control laws for complex dynamic networks (CDNs) with deviation argument. We design two categories (linear law and nonlinear law) undisturbed CDNs to achieve exponential synchronization. It is intractable ascertain range function exactly. Hence, some corresponding sufficient criteria are put forward ensure synchronization argument when not changed. By adopting Gronwall–Bellman lemma solving transcendental equation, we can obtain admissible upper limits deviating function, keep laws. comparison previous research findings, robustness, argument, all considered in this study, which enhances findings. Finally, emulation examples verify validity analysis.