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Periodic solutions for $n$ -th order delay differential equations with damping terms

Lijun Pan — 2011

Archivum Mathematicum

By using the coincidence degree theory of Mawhin, we study the existence of periodic solutions for $n$ th order delay differential equations with damping terms $x^{(n)} (t) = \sum_{i = 1}^{s} b_{i} {[x^{(i)} (t)]}^{2 k - 1} + f (x (t - τ (t))) + p (t)$ . Some new results on the existence of periodic solutions of the investigated equation are obtained.

Existence of periodic solutions for second order delay differential equations with impulses.

Pan, Lijun — 2011

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asynchronous sampling-based leader- following consensus in second-order multi-agent systems

Zhengxin Wang; Yuanzhen Feng; Cong Zheng; Yanling Lu; Lijun Pan — 2018

Kybernetika

This paper studies the leader-following consensus problem of second-order multi-agent systems with directed topologies. By employing the asynchronous sampled-data protocols, sufficient conditions for leader-following consensus with both constant velocity leader and variable velocity leader are derived. Leader-following quasi-consensus can be achieved in multi-agent systems when all the agents sample the information asynchronously. Numerical simulations are provided to verify the theoretical results....

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Currently displaying 1 – 3 of 3

Periodic solutions for $n$ -th order delay differential equations with damping terms

Existence of periodic solutions for second order delay differential equations with impulses.

Asynchronous sampling-based leader- following consensus in second-order multi-agent systems

Advanced Search

Formula preview

Currently displaying 1 – 3 of 3

Periodic solutions for n -th order delay differential equations with damping terms

Existence of periodic solutions for second order delay differential equations with impulses.

Asynchronous sampling-based leader- following consensus in second-order multi-agent systems

Periodic solutions for $n$ -th order delay differential equations with damping terms