Sentence examples for by constructing a functional from inspiring English sources

Here we demonstrate this functionality by constructing a functional network perturbed in common human diseases.

The variational method and critical point theory are employed to investigate the existence of solutions for 2 th-order difference equation for with boundary value condition by constructing a functional, which transforms the existence of solutions of the boundary value problem (BVP) to the existence of critical points for the functional.

By properly constructing a functional and by using the critical point theory, we establish the existence of homoclinic solutions for a class of subquadratic second-order Hamiltonian systems.

Stability of the target system is first proved by constructing a Lyapunov functional.

In Section 4 we discuss the uniform boundedness of solutions of (1) by constructing a Lyapunov functional.

We overcome these difficulties by constructing a novel functional, which is different for the corresponding ones of past work.

Then, by constructing a Lyapunov functional and using Jensen's inequality, a sufficient condition is derived to ensure the exponential stability of the resulting delayed differential equation.

In [13], the problem of robust stability of uncertain systems with interval time-varying delay was considered by constructing a Lyapunov functional with uncorrelated augmented matrix items and a tighter bounding technology.

By constructing a Lyapunov functional combined with the LMI technique, we propose new criteria for the mean square exponential stability of switched stochastic systems with interval time-varying delay.

By constructing a Lyapunov functional and using linear matrix inequality for stochastic analysis we derive sufficient conditions to guarantee the exponential stability of the stochastic model of impulsive GRNs in the mean-square sense.

By constructing a Lyapunov Krasovskii functional (LKF) concluding quad-slope integrations, we establish a reaction-diffusion-dependent and delay-dependent finite-time stability criterion for the error system.