The phrase "assure the existence" is correct and usable in written English.
It can be used when you want to confirm or guarantee that something is present or real.
Example: "The scientist aimed to assure the existence of the previously theorized particle through rigorous experimentation."
Alternatives: "confirm the presence" or "guarantee the reality".
To govern is to assure the existence of governable subjects.
In this particular situation the results present in literature are not satisfactory, since they do not assure the existence of an equilibrium for every value of the parameters.
In those cases, we use generalized multiquadrics as RBFs and choose the exponent of the multiquadric at each node to assure the existence of an optimal variable shape parameter.
Afterward, by using the sliding mode theory and Lyapunov stability theory, a robust fractional-order control law via a nonlinear disturbance observer is proposed to assure the existence of the sliding motion in finite time.
In this case, the main point is to assure the existence of nontrivial solutions.
Here, we assume (theta _{H} - frac {eta }{1 + eta }PDelta theta > 0) to assure the existence of an interior solution.
Energy dispersive X-ray spectroscopy (EDX) assured the existence of both iron and gold elements in the prepared nanoparticles.
The results have given indications and constraints for the design of a layout, which assures the existence of an operating region compatible with both plasma active position control and gas ionisation.
The dissipative nature of the whole system assures the existence as well as the stability (long time asymptotics) of a solution of the system (provided that the viscosities of the fluid are large enough).
A sequence of standard LMI conditions assuring the existence of homogeneous polynomially parameter-dependent (HPPD) solutions to the parameter-dependent LMIs for filter design is provided in terms of the vertices of the polytope (no gridding is required), yielding parameter-dependent filters of arbitrary degree assuring quadratic stability of the error dynamics for the H2 or the H∞ cases.
