Consensus analysis of continuous-time second-order multi-agent systems with nonuniform time-delays and switching topologies.

In this study, consensus problems for second-order multi-agent systems with nonuniform and switching topologies are investigated. Each agent has a self-delay, and each delay is independent of the others. As a measure of the disagreement dynamics, a class of positive semi-definite Lyapunov- Krasovskii functions are introduced. Using algebraic graph theory and these Lyapunov- Krasovskii functions, sufficient conditions are derived by contradiction under which all agents asymptotically reach consensus. Finally, the effectiveness of the obtained theoretical results is demonstrated through numerical simulations. [ABSTRACT FROM AUTHOR]