Spreading informationthrough a network of devices is core activity for most distributed systems. Self-stabilizing algorithms information spreading are one the key building blocks enabling aggregate computing to provide resilient coordination in open complex This article improves general block literature by making it perturbations, establishes its global uniform asymptotic stability, and proves ...

Many physical systems contains fast and slow phenomenons. In this paper we propose a dynamic neural networks with different timescales to model the nonlinear system. Passivity-based approach is used to derive stability conditions for neural identifer. Several stability properties, such as passivity, asymptotic stability, input-to-state stability and bounded input bounded output stability, are g...

In this paper we show that for linear switching systems of the form xn+1 = Anxn + un+1, where the matrices An are chosen arbitrarily from a given set of matrices, bounded-input-bounded-output stability implies uniform exponential stability.

We present two new algorithms FastAccSum and FastPrecSum, one to compute a faithful rounding of the sum of floating-point numbers and the other for a result “as if” computed in K-fold precision. Faithful rounding means the computed result either is one of the immediate floating-point neighbors of the exact result or is equal to the exact sum if this is a floating-point number. The algorithms ar...

Effective trading mechanism can promote the commercialization of creative ideas and realization value. Under assumption bounded rationality in transactions, this paper constructs an evolutionary game model between producers consumers, analyzes influencing factors, strategy selection, equilibrium conditions transactions. The study found that case only market mechanism, it is difficult for transa...

A distributed neural network adaptive feedback control system is designed for a class of nonlinear multi-agent systems with time delay and nonidentical dimensions. In contrast to previous works on heterogeneous the same dimension, particular features are proposed each agent different dimensions, similar parameters defined, which will be combined controller. Second, novel based similarity using ...

This paper addresses the displacement path-following problem for a class of disturbed cart-pendulum systems under fake data injection (FDI) actuator attacks. A filter operator is proposed to estimate weight vector caused by unknown attacks and disturbances, so that can be parameterized using neural networks. Then, combined with signals based on adaptive network integral sliding-mode techniques,...

In this paper, we extend the sliding mode idea to a class of unmatched uncertain variable structure systems. This method is achieved with introducing a new terminal sliding variable and the finite time stability of proposed method is proved using a new particular finite time condition in both reaching and sliding phases. In reaching phase new sliding mode controller is derived to guarantee the ...

In [A. Frid, S. Puzynina, L.Q. Zamboni, On palindromic factorization of words, Adv. in Appl. Math. 50 (2013), 737-748], it was conjectured that any infinite word whose palindromic lengths of factors are bounded is ultimately periodic. We introduce variants of this conjecture and prove this conjecture in particular cases. Especially we introduce left and right greedy palindromic lengths. These l...