Sentence examples for sufficient criterion of from inspiring English sources

Based on the transformed model, a sufficient criterion of asymptotic stability with H∞ tracking performance is derived for the closed-loop system by using scaled small gain theorem.

Precisely, we provide a necessary and sufficient criterion of consensus convergence in terms of Hurwitz stability of a matrix and give an analytical expression of the consensus function.

In order to obtain a sufficient criterion of security, we design a complete (but not sound in general) resolution procedure for a class of flattened clauses modulo simple equational theories, including associativity commutativity.

In this subsection, based on the Lyapunov method, a sufficient criterion of exponential outer synchronization which is easily verifiable is established in the form of coefficients.

Work on the demarcation problem seems to have waned after Laudan's (1983) much noted death certificate according to which there is no hope of finding a necessary and sufficient criterion of something as heterogeneous as scientific methodology.

Following the preparative theorem in Section 2, in Section 3, we state and prove the main result, that is, the sufficient criterion of the existence of solutions for BVP (1.1).

Based on these new summation inequalities and the reciprocally convex combination inequality, a novel sufficient criterion on asymptotical stability of discrete-time systems with variable delays is obtained by constructing a new Lyapunov-Krasovskii functional.

Based on these new summation inequalities, the reciprocally convex combination inequality, and a new Lyapunov-Krasovskii functional, a less conservative sufficient criterion on asymptotical stability of discrete-time systems with variable delays is obtained.

Further, we give sufficient criteria of global asymptotic stability (GAS) and uniform stability (US) of an equilibrium point.

Mere size of population, surface area, or density of settlement are not in themselves sufficient criteria of distinction, while many of their social correlates (division of labour, nonagricultural activity, central-place functions, and creativity) characterize in varying degree all urban communities from the small country town to the giant metropolis.

By employing stochastic analysis and linear matrix inequality techniques, sufficient criteria of stochastic finite-time boundedness and stochastic H∞ finite-time boundedness are first provided for the class of stochastic jump systems.