RT - Journal Article T1 - Controller design for containment problem of a Class of multi-agent systems with nonlinear identical dynamics and fixed directed graph JF - joc-isice YR - 2021 JO - joc-isice VO - 14 IS - 4 UR - http://joc.kntu.ac.ir/article-1-620-en.html SP - 133 EP - 141 K1 - Multi-Agent Systems K1 - Containment K1 - Leader K1 - Follower AB - This paper, studies the controller design for containment problem for a class of multi-agent systems with identical time-invariant continuous-time nonlinear dynamics and fixed directed communication graph. In this problem, the Lyapunov stability theorem, the graph theory and matrix linear inequality are used. The agents are divided into two groups of leaders and followers. In containment problem, all the followers are controlled under which will asymptotically converge to the convex hull spanned by the leaders so distributed communication protocol with fixed time delay is considered and four-step algorithm is proposed for obtaining parameters and gain matrix. The above case is proved to be sufficient condition under theorem. To illustrate the reliability and efficiency of the proposed method, numerical example with simulations are presented. LA eng UL http://joc.kntu.ac.ir/article-1-620-en.html M3 10.52547/joc.14.4.133 ER -