Sentence examples for formulating the stability from inspiring English sources

By formulating the stability of the stationary solutions as a fixed point problem we have found delay-dependent sufficient conditions.

Wang et al. [19] introduced the h-stability for differential systems with different initial time and formulated the stability criteria.

In this section, we formulate the stability property of positive solutions of system (1.4) when all the time delays are zero.

In this section, we formulate the stability condition of the binaural closed-loop system, starting from the general case before applying the block-diagonal constraint (24).

In order to formulate the stability of Ky Fan's points as an equivalent stability of Ky Fan's section theorem, the maximum Hausdorff metric of the inequality functions is also defined as (rho_{1} varphi _{1},varphi_{2})=rho_{s}(E_{varphi_{1}},E_{varphi_{2}})=sup_{xin X}H_{d}(E_{varphi_{1}}(x),E_{varphi_{2}}(x))) ((varphi _{1},varphi_{2}inM}thcal{M})).

The process is modeled by a second-order linear delay-differential equation and the characteristic equation is analyzed in formulating the continuous stability boundaries, explicitly for any given range of the spindle speeds.

We formulated the necessary stability condition: only one spring in the chain can have negative stiffness.

These concepts are illustrated in detail by formulating the large deflection and initial stability problems for beams as well as flat plates.

Most of the dynamic VAR optimization methodologies formulate the transient voltage stability model as a constraint rather than an optimization objective.

Ultimately, in combination with the nonlinear regularization equations, a nonlinear least-squares problem is formulated for the stability-improved deconvolution algorithm based on B-splines.

The analysis of this paper is based on the assertion by Čermák and Tomášek [6], which formulates the necessary and sufficient asymptotic stability conditions for the difference equation y ( n + 2 ) + α y ( n ) + β y ( n − ℓ ) = 0, n = 0, 1, 2, …, (6).