Sentence examples for by constructing the suitable from inspiring English sources

By constructing the suitable sliding mode surface with fractional-order derivative, a single-state sliding mode controller is designed to realize the asymptotical stability of synchronization error system.

Secondly, by constructing the suitable response system, the original fractional-order error system can be converted into the integral-order one.

Further, by constructing the suitable Lyapunov function, we show that the system (1.3) is globally attractive under some appropriate conditions.

We have established a new sufficient condition which includes the diffusion coefficients by constructing the suitable Lyapunov functional, introducing many real parameters and applying inequality techniques.

The global asymptotic stability of the disease-free equilibrium and the chronic infection equilibrium is established by constructing the suitable Lyapunov functions.

For this system, due to the lack of density restriction of the predator species, one could not investigate the stability property of the system by constructing the suitable Lyapunov function.

We get our main results by establishing a modified comparison principle, constructing the suitable upper and lower solutions (including the self-similar lower solutions, the eigenfunction argument and the technique of ordinary differential equation and so on) and the auxiliary function.

Based on the 3D general solutions expressed by harmonic functions, we constructed the suitable harmonic functions with undetermined constants at first.

Under the framework of Filippov solutions, μ-stability analysis of solutions for functional differential inclusions and memristor-based neural networks can be guaranteed by constructing suitable Lyapunov Krasovskii functionals, suitable inequalities and LMIs.

We first obtain a set of sufficient conditions which ensure the permanence of the system, after that, by constructing a suitable Lyapunov function, we also investigate the stability property of the system.

By constructing a suitable Lyapunov functions, the authors got some sufficient conditions to ensure the global robust exponential stability of (1.1).