Sentence examples for proven by using a from inspiring English sources
Proof We see that this result can be proven by using a similar method to Theorem 3.1.
(b) Unlike in the previous works, the stability analysis is rigorously proven by using a SPR-based Lypunov approach.
The finite-time stability nature of the TSMC law is proven by using a Lyapunov-based approach.
This result is proven by using an inductive argument.
The stability analysis in this article is proved by using a well-known Lyapunov stability theorem.
The stability of the overall control systems is proved by using a Lyapunov function.
In case of (p=1), the theorem can be proved by using a similar method.
Theorem 3 is proved by using a similar method to Theorem 4.
The following lemma is well known and can be easily proved by using a standard method.
The convergence of a N-robot system under Controller 1 can be proved by using a Lyapunov-based method and is formally stated by the following result.
In this paper, some new generalization of Darbo's fixed point theorem is proved by using a (F psi,varphi -contraction in terms of a measure of noncompactness.
