List of lectures

1. Models and behaviors (J.C. Willems)
   keywords: dynamical systems, linearity and time-invariance, modules and kernel representations, latent variables, the elimination theorem.
2. Systems described by differential equations (P. Rapisarda)
   keywords: controllability, image representations, observability, input/output partition, transfer functions.
3. Least squares and the singular value decomposition (I. Markovsky)
   keywords: matrix computations, least squares, total least squares, low-rank approximation, Toeplitz/Hankel structured matrices.
4. Linear state space systems (J.C. Willems)
   keywords: input/state/output systems, matrix exponentials, stability, state controllability, state observability.
5. The most powerful unfalsified model (I. Markovsky)
   keywords: exact system identification, subspace methods, identifiability, persistency of excitation, unfalsified control.
6. Convex optimization and linear matrix inequalities (C.W. Scherer)
   keywords: semi-definite programming, truss topology design, stability, LMI regions.
7. Realization algorithms (J.C. Willems)
   keywords: convolutions, minimal realizations, the state space iso- morphism theorem, the Hankel matrix, algorithms for state repre- sentation.
8. Model reduction algorithms using SVD and Krylov methods (A.C. Antoulas)
   keywords: model reduction, SVD methods, Krylov methods, balanced truncation, Lanczos algorithm, Arnoldi algorithm, moment matching.
9. Approximate system identification (I. Markovsky)
   keywords: Kalman filter and smoother, output error, errors-in-variables, ARMAX, structured low-rank approximation.
10. Model reduction from measurements (A.C. Antoulas)
    keywords: data Hankel matrix, Loewner matrices, state construction, time and frequency domain data.
11. -control (C.W. Scherer)
    keywords: KYP lemma, state-feedback synthesis, output feedback synthesis, convexifying controller transformation, multi-objective control, design example.
12. State models and state construction (P. Rapisarda)
    keywords: axiom of state, state maps, the shift-and-cut operator, minimality, canonical forms, state equations.
13. Modeling interconnected systems (J.C. Willems)
    keywords: Tearing, zooming and linking, interconnection architecture, terminals versus ports.
14. Dissipative systems (P. Rapisarda)
    keywords: quadratic differential forms, two- variable polynomial calculus, dissipativity, storage function, dissipation rate.
15. Robust control (C.W. Scherer)
    keywords: robust stability of feedback systems, integral quadratic constraints, robust performance analysis and controller synthesis, gain-scheduling.