Sentence examples for extended integral from inspiring English sources

Then extended integral inequality and convex combination approach are used to estimate the derivative of the constructed functional, and as a result, the new stability criterion with less conservatism and decision variables is obtained.

This paper presents an extended integral model using char oxidation under different ambient oxygen concentrations to predict the pyrolysis of wood.

Firstly, based on an extended integral inequality, the convex combination theorem and S-procedure, the conditions for cluster synchronization of identical Lur'e networks are derived in a convex domain.

Since Γ t) > 0, it follows from the extended integral mean value theorem that there exists η ∈ [0, ω] satisfying x ∫ 0 ω Γ ( t ) d t = r ̄ ω, (16).

The numerical procedure is based on the use of extended displacement and extended traction integral equations for external and crack boundaries, respectively.

In particular, many authors have extended some integral inequalities used in the theory of differential, difference, and integral equations to an arbitrary time scale; see, for instance, the papers [4 16] and the references cited therein.

A recently developed non-linear control design based on feedback linearization is extended with integral action.

An existing non-linear control design based on feedback linearization is extended with integral action.

These definitions extend standard integral introductions: in particular, if (h=0), then (1) becomes the Jackson q-integral [16].

In this paper we extend the integral formulation for the case when external limitations are present.

Our results unify and extend some integral inequalities and their corresponding discrete analogues.