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arXiv · 1001.2019

Semistability of Nonlinear Systems Having a Continuum of Equilibria and Time-Varying Delays

Qing Hui
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Abstract

In this report, we develop a semistability analysis framework for nonlinear systems with bounded time-varying delays with applications to stability analysis of multiagent dynamic networks with consensus protocols in the presence of unknown heterogeneous time-varying delays along the communication links. We show that for such a nonlinear system having nonisolated equilibria, if the system asymptotically converges to a constant time-delay system and this new system is semistable, then the original time-varying delay system is semistable. In proving our results, we extend the limiting differential equation approach to time-varying delay systems and also develop some new convergence results for functional differential equations.

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Qing Hui. 2013-05-31. Semistability of Nonlinear Systems Having a Continuum of Equilibria and Time-Varying Delays. https://arxiv.org/abs/1001.2019

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