Sentence examples for guarantee regularity from inspiring English sources

The designed controller can guarantee regularity, nonimpulsiveness, and internal stability of the closed-loop system and simultaneously minimizes an upper bound of the H2 performance measure satisfying an H∞ norm bound constraint.

However, it would be more desirable to find sufficient conditions on the shape of the given canal surfaces that guarantee regularity.

Constraints are added to guarantee the regularity of the envelope and force the workspace to occupy a pre-established area.

Many sufficient conditions (see, e.g., [2 16] and the references therein) were derived to guarantee the regularity of the weak solution.

Also, (1.4) is one of the simplest examples of discrete autonomous equations leading to chaos, whereas the solution (1.3) of (1.2) guarantees the regularity of (1.2).

A sufficient condition for the existence of a fixed-gain controller is first proposed which guarantees the regularity, impulse-free and stability of the closed-loop system under all possible faults.

Condition (P1) guarantees the regularity of the shrinkage process, and the role of condition (P3) is to avoid over smoothing of the estimate (noise mainly affects small wavelet coefficients).

In addition, Boolean operations on the geometric primitives are implemented by R-function method, which guarantees the regularity of the structure representation function, and which meets the need of the structure boundary smoothness for finite element analysis in the fixed Euler meshes.

Caused by the delicacy of Leray-Schauder degree computation, the crucial step for the proof is to guarantee C 1 regularity of solutions, but with condition h ∈ A ∩ B, C 1 regularity is not known yet.

Therefore, the first step is to investigate certain conditions on f and g to guarantee C 1 regularity of solutions.

In this paper, we would extend some point-wise sufficient conditions, which guarantee the local regularity of weak solutions for 3D Navier-Stokes equations, to the Ericksen-Leslie system (1.1a - 1.1c 1.1a - 1.1c