The research of Dr Lestas is associated with the analysis, modeling and control of large scale systems, using advanced methodologies in systems theory and optimization, while establishing connections with related domains such as distributed resource allocation and information theory. These methodologies are applied in problems associated with smart grids and power distribution networks, such as the problem of optimal power flow in power systems, dynamic pricing in electricity markets, and the development of generalized frameworks through which robust stability guarantees can be provided despite the complexity of these networks. His research interests also expand in other areas where related analysis tools are important, such as power control in wireless networks, group coordination problems and the analysis of signaling and feedback mechanisms in gene regulatory networks.