Sentence examples for results on stability from inspiring English sources

So, we have the following results on stability and bifurcation in system (2.2).

We first give some results on stability of the zero solution of Equation 1.

More related results on stability for discrete linear Hamiltonian systems can be found in [20 24].

Section 2 presents some results on stability of perturbed positive systems.

More results on stability and superstability of homomorphisms, special functionals, and equations can be found in [21 30].

By using a similar method to that in [3], we have the following results on stability to system (2.1).

The result on stability (see [5, Theorem ]) can be stated as follows.

The first result on stability of T-stable mappings was introduced by Ostrowski [2] for the Banach contraction principle.

The obtained result on stability analysis is then utilized to synthesize a suboptimal state feedback controller that minimizes the upper bound of a given infinite-horizon cost function.

The classical result on stability due to Ostrowski has been extended to multi-valued maps by Singh and Chadha [21] and further extended by Singh and Bhatnagar [22] and Singh et al. [23].

In this section, we present and prove our main results on uniform stability and asymptotic stability of the sets of system (2.1) by utilizing piecewise continuous Lyapunov functions with Razumickhin methods.