A Lyapunov–Krasovskii Functional Approach to Stability and Linear Feedback Synchronization Control for Nonlinear Multi-Agent Systems with Mixed Time Delays

Abstract

This study focuses on mixed time delayed, both leaderless and leader-follower problems of nonlinear multi-agent systems. Here, we find the stability criteria for multi-agent systems (MASs) by utilizing a proposed lemma, the Lyapunov–Krasovskii functions, analytical techniques, Kronecker product, and some general specifications to obtain the asymptotic stability for the constructed MASs. Furthermore, the criteria to establish the synchronization of leader-follower multiagent systems with linear feedback controllers are discussed. Finally, we provide two numerical calculations along with the computational simulations to check the validity of the theoretical findings reported for both leaderless and leader-follower problem in this study.

Stability analysis and comparative study on different eco‐epidemiological models: Stage structure for prey and predator concerning impulsive control

“…2 Identifying the natural enemy of the pest and releasing the beneficial species at an early stage while the level of pests is still low is the secret to effective biological control. 3 Differential equations have been widely used as models in biology, astronomy, chemistry, engineering and other applied sciences, [4][5][6][7][8] with particular focus on population dynamics. [9][10][11][12][13] Recently, 14,15 formulated mathematical models to control Aedes aegypti mosquitoes population using biological control.…”