Leader-following consensus of a class of stochastic delayed multi-agent systems with partial mixed impulses

Model reduction of A class of Markov jump nonlinear systems with time-varying delays via projection approach

“…Fruitful results have been obtained on control and other issues for nonlinear systems, e.g. [9, 10,11], whereas less attention has been paid to Markov jump nonlinear systems since the difficulties with respect to the complex nonlinear dynamics of the systems can be hardly handled. Fortunately, the methods based on Takagi-Sugeno (T-S) fuzzy model have been demonstrated to be effective and powerful techniques in terms 20 of addressing the complex nonlinearity problems [12,13].…”

“…Normally, an MJS that involves both time-evolving and event-driven mechanisms, consists of two parts: system differential equations and a Markov process. In order to describe the changes of the physical 10 system, an MJS is able to transit from one mode abruptly to another mode in any operation point, and the transition process is dominated by a Markov process [3,4]. A wide range of constructive studies on state estimation, filtering, control and other aspects are referred to [5,6,7,8], and the references therein.…”

Delayed-Compensation Algorithm for Second-Order Leader-Following Consensus Seeking under Communication Delay

“…As a typical control method, leader-following consensus algorithms have been extensively adopted to solve the stationary and dynamical consensus problems for multi-agent systems, and abundant results have been achieved in the past decade [5,6,25,26,[29][30][31][32]. Under the leader-following coordination control structure, the agents' states are required to converge to the leader's states asymptotically, i.e.,…”

Tracking Control of Networked Multi-Agent Systems Under New Characterizations of Impulses and Its Applications in Robotic Systems

“…Although much progress has been made towards coordination or control of multi-agent systems, the existing literature often assumes time-invariant impulses in modelling or control design [19]- [22], but how the time-varying properties or stochastic parameters of impulsive effects affect coordination behavior is not considered. This imposes a limitation on the validity of the results, since systems with time-varying parameters or stochastic parameters are ubiquitous in practice and the channels in control systems often suffer from physical restrictions [5], [22], [23].…”