Sentence examples for many existing results from inspiring English sources

Our results extend many existing results.

Moreover, the assumptions adopted and decentralized control laws designed are considerably simple comparing with many existing results.

In particular, these three new methods do not introduce any other auxiliary constraints as many existing results do where a matrix equality constraint between system matrix and Lyapunov matrix is often inserted.

Many existing results have been improved, and the list of references has been updated.

The results proved in this paper extend and generalize many existing results in the literature.

Therefore, the obtained results extend many existing results in the literature.

In fact, the obtained results extend, unify and correlate many of the existing results in the literature.

Consequently, as shown by Example 1.3, our results generalize many of the existing results presented in metric spaces.

The directed graph revealed many potential genetic pathways, some of which confirmed the existing results in the literature.

However, the existing results employ an assumption that may be too restrictive for many stochastic systems.

The results obtained by Samet et al. [7] extended and generalized many existing fixed point results in the literature, in particular the Banach contraction principle.