In this paper, we study the mean square convergence of the kernel least mean square (KLMS). The fundamental energy conservation relation has been established in feature space. Starting from the energy conservation relation, we carry out the mean square convergence analysis and obtain several important theoretical results, including an upper bound on step size that guarantees the mean square con...

In this paper, we show two new results on the existence and uniqueness of solution Neutral Stochastic Pantograph Integro-Differential Equations (NSPIDE) exponential stability in mean square using one-sided Growth Condition. One example is exhibited to interest our results.

A Correction to this paper has been published: https://doi.org/10.1007/s10444-021-09901-7

This paper studies the mean-square stability of heterogeneous LTI vehicular platoons with inter-vehicle communication channels affected by random data loss. We consider a discrete-time platoon system predecessor following topology and constant time-headway spacing policy. Lossy are modeled Bernoulli processes allowed to be correlated in space. make use class compensation strategies reduce effec...