These MIT lecture notes, from the 6.241 course on dynamic systems, introduce the mathematical framework for modeling and controlling systems that evolve over time. They begin with linear algebra and least-squares methods, then move through input-output and state-space models, linear time-invariant systems, and modal decomposition.

Key Topics

• Least squares estimation and projection
• Matrix norms and perturbations
• Linearization of nonlinear systems
• Discrete and continuous time solutions
• Simulation/Realization

Authors: Mohammed Dahleh, Munther A. Dahleh, and George Verghese