Successive lag synchronization on dynamical networks with communication delay

Abstract

In this paper, successive lag synchronization (SLS) on a dynamical network with communication delay is investigated. In order to achieve SLS on the dynamical network with communication delay, we design linear feedback control and adaptive control, respectively. By using the Lyapunov function method, we obtain some sufficient conditions for global stability of SLS. To verify these results, some numerical examples are further presented. This work may find potential applications in consensus of multi-agent systems.

Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control*

“…, m. Remark 4 In Refs. [16] and [25]- [27], the synchronization delay τ is a fixed positive constant. In this paper, the agents are divided into m parts to realize SLC of each cluster with different consensus delay τ p , p = 1, 2, .…”

The Architecture of the Multi-Agent Search System of the Company

“…Для решения данной задачи эффективным является внедрение поисковой системы [5,6], представляющей собой компьютерную систему для поиска информации, взаимодействующую с пользователем через интерфейс. Поскольку такая система является сложной и состоит из большого количества приложений, эффективным является применение методов теории мультиагентных систем [7][8][9][10][11][12]. Мультиагентная система представляет собой систему из нескольких взаимодействующих интеллектуальных агентов (программ), предназначенных для выполнения в течение длительных промежутков времени заданий, указанных другой программой или пользователем.…”

Linear synchronization and circuit implementation of chaotic system with complete amplitude control*

“…This is done by adding a constant, while total ampli-tude control can be used to realize a whole signal rescaling through a single coefficient. A few variable-boostable chaotic systems [34] meet this condition, such as chaotic systems Sprott J, Sprott P [35] and JD0, [36] where the nonlinearity resides in a single quadratic term, giving a coefficient for amplitude rescaling. Take Sprott J for example, Fig.…”

“…In addition to the complete amplitude control of the chaotic signal in a single chaotic system as mentioned above, it may also be necessary to obtain a similar linear control in a synchronization system [29,[32][33][34][35][36] where the chaotic signal of the driven system is the linear transformation of the one from the driving system. This is defined as "linear generalized synchronization" or "linear synchronization".…”