Credits: 3.00
Description:
The course examines fundamentals of set theory, metric spaces, linear spaces, matrix theory and differential equations. Topics: Lyapunov stability. Algebraic graph theory. Consensus theory. Linear switched systems. Stochastic convergence. Averaging methods. Synchronization problems. Applications to multivehicle robotic teams, epidemic spreading and opinion dynamics.
Prerequisite: ME 6003 and ME 6703 or adviser approval.