Sentence examples for is proved by using from inspiring English sources

Thus the theorem is proved by using Theorem 5.2.

This result is proved by using the implicit function theorem.

The convergence of the identification error is proved by using the Lyapunov theory.

The asymptotic stability of the control system is proved by using Lyapunov theory.

The finite-time stability is proved by using both the Lyapunov stability and negative homogeneity approach.

The stability analysis in this article is proved by using a well-known Lyapunov stability theorem.

This result is proven by using an inductive argument.

The invertibility of this matrix and its submatrices is proven by using brute force simulations.

The non-negativity of R ( t ) ∀ t ∈ [ 0, t f ] is proven by using continuity arguments.

Theoretically, its weak convergence is proven by using Markov theory, while the experimental results demonstrate its strong convergence.

The finite-time stability nature of the TSMC law is proven by using a Lyapunov-based approach.