Etika Agarwal This dissertation presents novel results on the scalable control of cyber-physical systems (CPS) that comprise of many dynamically coupled subsystems interconnected to form a large-scale system. Modern-day infrastructure systems such as smart transportation, power grid and renewable energy, a fleet of industrial robots, and smart cities, are some examples of CPS, where the network of dynamical systems is capable of expansion, contraction, and reconfiguration. It is therefore

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... ial to develop computationally efficient design tools to guarantee control performances of a dynamically growing network, without having to re-design the existing subsystems. Towards this goal, we begin by developing dissipativity based control designs for hybrid systems which act as basic building blocks for modeling CPS. Since dissipativity is closely related to stability, and, under mild conditions, invariant over specific interconnection structures, dissipativity based control designs offer the possibility of a framework scalable to large-scale networks. However, if there is a communication delay between the systems, then the feedback system may not be dissipative. We propose a linear transformation of the information exchanged between the hybrid systems to guarantee specific dissipativity properties of the feedback interconnection in the presence of unknown communication delays. If the hybrid systems are not Aditya, there is no way that I could have done this without your support and encouragement. Over the years, you patiently listened to the numerous complaints, praises, and adventures of my life at Notre Dame, and always knew just the right things to say to calm me. Thank you for having my back. xi CHAPTER 1