Theory: Graphs and Matrices, properties of the Laplacian matrix and relation with graph connectivity. Non-negative matrices. Graphs and Dynamic Systems, Input and Output Reachability, Structural Controllability and Observability, Distributed Feedback Structures, Connective Stability and Stabilization, Vector Lyapunov Functions, Distributed Suboptimal and Optimal Control, Decentralized Observers and Feedback, Output Feedback

Applications: a) Control of Smart Grids: Frequency Regulation with variable resources, Charging Control for Plug-in electric Vehicle, Wide-Area Damping Control b) Cooperative Control of Multi-agent systems: Connectivity, Coordination and Consensus algorithms: Formation Control, Flocking, rendezvous. Adversarial interactions, Task assignment and routing.