Sentence examples for impulse time from inspiring English sources

It requires the nearest impulse time interval must be sufficiently small and the maximal impulsive gain max i ∈ S, 1 ≤ k < + ∞ { d i k + d ̄ i k } < 1. Theorem 3.2.

Based on the generalized equation [13], in this article, we consider the effect of the impulse intensity and the impulse time on the mean square exponential and non-exponential asymptotic stability of impulsive stochastic Volterra equation.

When impulse time is random, the solutions of the differential system behave as a stochastic process.

The parameter estimation law is modelled by an impulse-free time-varying differential equation associated with the impulse time sequence for determining when the observer state is updated.

By choosing the impulse intensity and the impulse time, We find that is not necessary condition for the exponential asymptotic stability.

The impact energy I, Eq. 1, is the integral of the impact force g(t) over the impulse time interval (t 1 − t 0).

We establish exponential stability of nonlinear time-varying impulsive systems by employing Lyapunov functions with discontinuity at the impulse times.

For the case where the delay derivative is strictly less than 1, a descriptor type of impulse-time-dependent Lyapunov functional is introduced, which is discontinuous at impulse times but does not grow along the state trajectories by construction.

In order to match the features of rolling bearing fault, the impulse time-frequency dictionary and modulation dictionary are constructed to form the double-dictionary by using the method of parameterized function model.

The impulse times satisfy,.

By utilizing the associated necessary and sufficient conditions of optimality, the third and fourth impulse times are numerically determined.