Ivan Markovsky, J. C. Willems, P. Rapisarda, B. De Moor, S. Van Huffel
What does it mean “is a trajectory of”? let σ be the shift operator σx(t) = x(t + 1) and let Σ be defined by a state space representation Σ: σx = Ax+Bu, y = Cx+Du (I/S/O) (ud,yd) is a...
Ivan Markovsky, J. C. Willems, P. Rapisarda, B. De Moor, S. Van Huffel
An exact identification problem Problem P1 (Exact identification) Given two vector time series ud = � ud(1),...,ud(T) � ∈ (R m) T yd = � yd(1),...,yd(T) � ∈ (R p) T “inputs”...
LINEAR HAMILTONIAN BEHAVIORS AND BILINEAR DIFFERENTIAL FORMS ∗ (2008)
P. Rapisarda, H. L. Trentelman
Abstract. We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with...
Linear Hamiltonian systems (2007)
P. Rapisarda, H. L. Trentelman
We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows to use the same concepts and techniques to deal with systems isolated...
On the linear quadratic data-driven control (2007)
\emph{Proc. of the European Control Conference 2007 (ECC'07)}, Kos, Greece, Jul. 2007
Algorithms for deterministic balanced subspace identification (2005)
\emph{Automatica}, vol. 41, no. 5, May 2005
A note on persistency of excitation (2005)
\emph{Systems & Control Letters}, vol. 54, no. 4, Apr. 2005
Computation of LTI system responses directly from input/output data (2005)
\emph{Proc. of the 16th IFAC World Congress (IFAC'05)}, Prague, Czech Republic, Jul. 2005
A note on persistency of excitation (2004)
\emph{Proc. of the 43rd IEEE Conference on Decision and Control (CDC04)}, Atlantis, Bahamas, Dec. 2004
An equipartition of energy principle for oscillatory systems (2004)
\emph{Proc. of the10-th IFAC/IFORS/IMACS/IFIP Symposium on Large Scale Systems (LSS2004)}, Osaka, Japan, Jun. 2004