Interplay Between Network Topology and Stability of Control Systems with Delays
Delays, ubiquitous in control systems, mainly arise from sensing, actuation and decision-making activities; and the topology describes which control systems are tied with each other via a network, as seen in coordination of autonomous vehicles, tele-operation, manufacturing enterprise systems and vehicular traffic flow dynamics. Through the same network, delays and topology affect each other and combine together to determine the network stability. The objective of this program is to explain the non-trivial connections between the topologies of networks and the stability mechanisms of these networks in the presence of multiple delays. Evident from the literature, there exists no general stability treatment for control systems with multiple delays, and this knowledge gap currently prevents the availability of explicit rules by which networks and their controllers can be designed for improved stability.
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