Basic concepts and results from dynamic systems theory: Stability, Lyapunov, La Salle, and Chetaev theorems. Linear control systems: Reachable sets, Controllability, Observability. Equivalence of Linear systems through coordinate change and feedback, Canonical forms. Stabilization of linear systems. Infinite horizon quadratic cost optimization problem. Observers and dynamic feedback design. Realization theory. Algebraic stability criteria (Routh, Hurwitz). The concept of input-output stability, results and applications. Introduction to design and analysis problems in nonlinear systems. An introduction to design and analysis issues in the case of stochastic control systems.
ECTS : 5
Language : el