Sentence examples for prescribed degree from inspiring English sources

We consider, in a smooth bounded multiply connected domain D⊂R2, the Ginzburg Landau energy Eε u)= 12∫D|∇u|2+14ε2∫D(1−|u|2)2 subject to prescribed degree conditions on each component of ∂D.

By using an appropriate state weighting matrix choice and a relative stability degree, an LMI-based algorithm is proposed to provide guaranteed cost controllers that ensure (i) the closed-loop nominal eigenvalues shifting by a pre-specified amount (ii) a prescribed degree of stability for all system uncertainties of a given class.

In fact, there's evidence that only about 27percentt of college graduates find a job that is strictly related to their major, which makes it doubly important to study subjects that are outside prescribed degree requirements.

In Perez-Vicente and Coolen [21] a parameterised random graph ensemble was defined where graphs have not only a prescribed degree distribution but also prescribed degree correlations.

We have recently been able to show [22] that this graph ensemble (described in [21]) can be tailored asymptotically to the generation of graphs with any prescribed degree distribution and any prescribed degree correlation function.

In random graphs vertices are connected to each other at random, modulo some basic constraints like, e. g., keeping some prescribed degree distribution or sequence.

Compared with those previous methods in the cited literature, a novel fuzzy observer-based output feedback law is constructed in virtue of utilizing one promising solution to homogenous polynomials that are parameter-dependent on both the current-time and those multi-steps past-time normalized fuzzy weighting functions with a pair of prescribed degrees.

The conditions for the exponential stabilization are presented in terms of the solution of matrix Riccati equations, which allow for an arbitrary prescribed stability degree.

We ask whether, for such a norm, there is some map in H1/2(S1;S1) of prescribed topological degree equal to 1 and minimal norm.

We now discuss a linear time-varying discrete control problem under several tentative controls at each stage with the purpose of selecting the control sequence which guarantees a prescribed stability degree of the feedback system.

Thus, the time-varying closed-loop system is exponentially stable with prescribed stability degree ρ and ∥ x j ∥ ≤ P ρ n ∥ x 0 ∥ for any integer j ∈ [ j n, j n + 1 ) and n ∈ N 0. □.