Menu
Teachers
Basic calculus notions, integrals and differential calculus in several variables. Basic notions of linear algebra: matrices, rank, kernel, range, determinants, eigenvalues and eigenvectors.
Basic notions on complex numbers. Fourier series and Laplace transform. Basic notions of physics: fundamental lows of mechanics, fluid dynamics, heat transfer, electromagnetism, electrical circuits. Notions of probability. Basics of software implementation.
Mandatory prerequisites: none.
– Class exercises
– Virtual visit to the laboratory
– three intermediate tests (4 hours each)
– in case of failure of the test or upon request of the students a written exam with
three questions: two exercises and a question about theory
– an oral exam with up to three questions
Dynamical systems: input, output and state
2) Analysis of linear systems
– Modes (hours 8)
– Stability(hours 4)
– Reachability (hours 8)
– Observability (hours 8)
– Realization (hours 4)
2) Control of linear systems
– Stabilization via state feedback (hours 6)
– Observer design and output stabilization(hours 8)
3) Analysis of nonlinear systems
– generalities (hours 4)
– Equilibrium conditions (hours 2)
– Lyapunov functions and stability analysis (hours 8)
– Linearization (hours 8)
4) Complements
– Optimal control design (hours 4)
– Robustness of dynamical systems (hours 4)
– Model predictive control (hours 2)
– System identification (hours 2)
– Markov chains (hours 4)
– Linear algebra (hours 6)
– Norms, inner product, symmetric matrices (hours 2)
– D. Luenberger, “Introduction to Dynamic Systems” (in English)
