Based on Lyapunov method and graph theory, a novel stochastic analysis method and linear comparable Lyapunov like functions are employed to ensure almost surely exponential stability (ASES). Then, without additional restrictions on the sojourn time, the sufficient criterion for ASES is developed. ...
网络释义 1. 几乎处处指数稳定性 几乎处处指数稳定... ... ) almost convexlike 几乎类凸 )almost surely exponential stability几乎处处指数稳定性) jihu 几乎 ... www.dictall.com|基于 1 个网页 2. 几乎指数稳定性 几乎指数稳定性,almost... ... ) almost sure stability 几乎处处稳定性 )almost surely...
Convergence and almost sure exponential stability of implicit numerical methods for a class of highly nonlinear neutral stochastic differential equations with constant delay 热度: Adaptive synchronization for dynamical networks of neutral type with time-delay 热度: Almost surely asymptotic stability of...
统计学词汇A... ... 几乎到处收敛 almost sure convergence几乎必然地almost surely交替更新过程 alternating renewal process ... www.scientrans.com|基于7个网页 2. 几乎确实成立 其中, 是任意 之T时点存活债权,且 是预存测度,使 得几乎确实成立(almost surely)。如果 在濾网H ( ) n S t , a T L...
surely. Then Esup T X(τ) < ∞, and for all λ > 0 Prob{| sup T X(τ) −Esup T X(τ)| > λ} ≤ 2e − 1 2 λ 2 /σ 2 , (10) where σ 2 = sup T EX 2 (τ). We next make an intuitive argument providing us with the asymptotics for the Lyapunov exponent. The...
ALMOST SURE AND MOMENT STABILITY PROPERTIES... 323Theorem3.1.(i)If0<H<1/2, (2.1) is almost surely asymptoti-cally stable whena<0, but unstable whena>0;(ii)IfH=1/2, (2.1) is almost surely asymptotically stable whena<b2/2, but unstable whena>b2/2;(iii)If1/2<H<1, (2.1) is...
1) almost surely exponential stability 几乎指数稳定性 1. Thealmost surely exponential stabilityof a Hopfield type stochastic neural network was studied by using the Lyapunov function and It formula,and a theorem and two corollaries were proved. ...
0}, where {Z,, t>~0} solves Zt=Io I-A*Zs+Isds+X~, forall t>~0 one finds that { Z , t~>0} = {Y,, t>~0} so {Y,, t>~0} is the almost-surely unique continuous solution to this linear stochastic integral equation. This 820 Kouritzin fact will be used in Example 3....
For the investigation of the almost surely exponential stability, a stochastic stability matrix is introduced, and then the stability analysis reduces to the estimation of the eigenvalues and martingales thorough a family of matrices and perturbation theorems. The stabilization ability of the ...
By virtue of stationary distribution, Lyapunov stability theory and LMI tool, we will propose that if the corresponding delay‐free stochastic neural network is almost surely exponentially stable, then there exists a positive number τ such that the SDCGNN is also almost surely exponentially stable ...