Sentence examples for the almost sure from inspiring English sources

The stochastic LaSalle invariance principle is employed to theoretically prove the almost sure synchronization between two networks.

Based on the largest Lyapunov exponent, the almost sure stability of the trivial steady-state solution is examined.

Analytical results for the almost sure stability of the inactive mode are obtained and compared with simulation results.

The almost sure stochastic stability criteria of the beam equilibrium are derived using the Liapunov direct method.

By constructing suitable Lyapunov functionals and using stochastic analysis we give a family of sufficient conditions ensuring the almost sure exponential stability of the networks.

This paper investigates the almost sure H∞ sliding mode control (SMC) problem for nonlinear stochastic systems with Markovian switching and time-delays.

The almost sure limit theorems are established under the assumption that the associated Schrödinger operator of X has a spectral gap.

For H<12, we prove existence and positivity of the Lyapunov exponent defined as the almost sure limit limt→∞t−1logu(t).

Bass and Braddon are in the "almost sure" Labor loss column.

An approximate method of investigating the almost sure asymptotic stability of the solution is presented and regions of instability in the Ω-σ2 plane have been charted.

The almost-sure asymptotic stability of elastic systems subjected to parametric excitation is studied.