Sentence examples for function candidates from inspiring English sources

The stability analysis is conducted on the basis of Lyapunov's direct method with quadratic Lyapunov function candidates.

However, in this paper, we use Lyapunov function candidates in feedback design itself by making the Lyapunov derivative negative when choosing the control.

This function can then be employed on these regions to derive natural storage or function candidates which can be used in designing controllers for stabilizing the network.

Different Lyapunov function candidates related to the thermodynamics, more specifically based on the entropy, the entropy production and the internal energy, are considered.

While the use of Lyapunov function candidates for integrator backstepping has been extensively studied in the literature, little research has been conducted regarding the applicability of the so-called incremental stability approaches.

By the descriptor representation approach, two new conditions for observer-based H∞ control synthesis are proposed based on various Lyapunov function candidates, which are in the form of linear matrix inequalities (LMIs).

First, we choose an appropriate Lyapunov function candidate.

Consider the Lyapunov function candidate V ( x ) = x^{T} Px, quad P>0,Pinmathbb{R}^{ntimes n}.

Consider the same Lyapunov Razumikhin function candidate: begin{aligned} V t)=x^{T}(t)Qx t).

Consider the following Lyapunov Razumikhin function candidate: begin{aligned} V t)=x t)^{T}Qx t).

Let W ( t ) = 1 2 e ¯ T ( t ) L e ¯ ( t ) be a Lyapunov function candidate.