Sentence examples for mathematical induction method from inspiring English sources

The stability and convergence of our scheme are proved via mathematical induction method.

Secondly, periodically intermittent controllers are designed for achieving cluster synchronization and the synchronization conditions are derived by using mathematical induction method and the analysis technique.

Here, we use mathematical induction method.

By the mathematical induction method, we shall generalize Theorem 6.

(11) Now we prove this theorem applying mathematical induction method.

We use mathematical induction method to prove (19).

Specifically, we examine the role played by: the problem formulation, students' experience with the utility of examples in proving, and students' ability to recognize and apply mathematical induction as an appropriate method in their explorations.

By using Itô's formula, mathematical induction and backstepping design method, a novel state-feedback controller is constructed to guarantee that the closed-loop high-order nonlinear system has a unique solution and the solution of the closed-loop high-order nonlinear system is finite-time stable.

Based on the theory of time scales, Lyapunov method and mathematical induction approach, a finite-time synchronization criterion is obtained for NCDNs on time scales under the pinning impulsive control strategy.

We use the method of mathematical induction.

To this end, we use the method of mathematical induction.