(type I), then therexists an observer of class K, a positive integer q andensors of class Sq such that the feedback system is stable,f the following two inequalities hold:(A1,1)2Pr(r2(k)=∅) < 1 (16)(A2,2)2Pr(r1(k)=∅) < 1 (17)where Ai,i∈Rni×ni (Ci)j∈Rmi×...
均方稳定So far there are not many results on the numerical stability of linear neutral stochastic delay differential equations. The main aim of this paper is to establish new results on the numerical stability. It is proved that the Euler method is mean-square stable under suitable condition. ...
The aim of this paper is to design anH∞filter such that the filter error dynamics is exponentially mean-square stable and theH∞performance requirement is satisfied simultaneously. By using the Lyapunov stability theory and the matrix technology, the design method of the desired filter is given ...
Essentially, the sufficient condition requires that each individual MJLS is MS-stable and a matrix cross-monotonicity condition holds at the switching instants. Furthermore, it is shown that the stability criterion can be given an appropriate LMI formulation. It is worth remarking that MS-stability ...
and encompasses a large class of algorithms,namely bounded SVM regression and regularized least-squares regression,among others.For slightly less stable algorithms, such as t-Nearest-Neighbor,we show that cross validation leads to an O(1/√k) reduction in the variance of the generalization error....
With the aid of stochastic analysis theory and a Lyapunov-Krasovskii functional, we derive a novel criterion that ensures the given system is mean-square exponentially input-to-state stable. Furthermore, the new criterion generalizes and improves some known results. Finally, two examples and their ...
Making use of Lyapunov functionals, Ito formula and Dynkin formula, we present sufficient conditions to guarantee that the proposed system is mean-square exponentially input-to-state stable. Moreover, numerical examples are given to illustrate validity and feasibility of the obtained results....
Next, we establish exponential stability of a strong solution in the following sense: if the unperturbed systen is exponentially stable and the perturbation is small enough, then the perturbed equation renains exponentially stabledoi:10.1080/07362999908809612...
Stable gradient-adjusted root mean square propagation on least squares problem ∗Runze Li† , Jintao Xu ‡ ,and Wenxun Xing §Abstract. Root mean square propagation (abbreviated as RMSProp) is a f i rst-order stochastic algorithm usedin machine learning widely. In this paper, a stable gr...
渐近稳定解[asymp咖回ly一stable sduti佣;~"ror卜,ee姗ycro曲,栅e peoe“。el 一个微分方程组的解,它在月刃乃旧oB意义下是稳定的(见加.lyl舰旧稳定性(Lyapunov stability)),并且吸引具有足够接近的初始值的一切其他解.例如,考虑方程组 卒二f(r.,、‘。 a了J、右边的函数f(:,考)对于一切:):,考任...