Abstract
In this paper, a neighbour-based control algorithm of group consensus is designed for a class of hybrid-based heterogeneous multiagent systems with communication time delay. We consider the statics leaders and active leaders, respectively. The original systems are transformed into new error systems by transformation. On the basis of the systems, applying Lyapunov stability theory and adopting the linear matrix inequality method, sufficient conditions which guarantee the heterogeneous multiagent systems stability are obtained. To illustrate the validity of theoretical results, some numerical simulations are given at the end of the paper.
Highlights
Consensus problem of multiagent systems (MAS) has always been a hot topic in the control field
The group consensus issue for heterogeneous MAS has attracted the favour of many academics at home and abroad, among which the most of it is common for heterogeneous systems composed of second-order MAS in continuous time [8]
In Hu et al.’s study [8], the authors considered the heterogeneous MAS with uncertain parameters. ere are heterogeneous systems which are consisted of a first-order system and a second-order MAS [9]
Summary
Consensus problem of multiagent systems (MAS) has always been a hot topic in the control field. In Wen et al.’s study [10], the authors discussed group consensus issues for heterogeneous MAS in the situation of input saturation It was composed of two firstorder MAS with or without nonlinear and second-order multiagent systems. In practical applications, many engineering problems are not a single linear system, in order to make works that are closer to the actual application, in the study of group consistency issue for heterogeneous MAS, time lag and the consideration of the influence of nonlinear term. In the circumstance of the presence of time lags, group consensus issues are investigated for the secondorder MAS with or without nonlinear; in the second part, the group consensuses for the systems which are consisted of the second-order nonlinear multiagent system and the secondorder and first-order MAS in a linear environment are mainly studied. Suppose 1n denotes a column vector with all elements are 1
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