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”...
PATH INTEGRALS AND STABILITY (2007)
A path integral associated with a dynamical system is an integral of a memoryless function of the system variables which, when integrated along trajectories of the system, depends only on the value...
Exact and Approximate Modeling of Linear Systems: A Behavioral Approach (2006)
Markovsky, I., Willems, J. C., Van Huffel, S., De Moor, B.
Exact and Approximate Modeling of Linear Systems: A Behavioral Approach elegantly introduces the behavioral approach to mathematical modeling, an approach that requires models to be viewed as sets of...
Exact and Approximate Modeling of Linear Systems: A Behavioral Approach (2006)
Markovsky, I., Willems, J. C., Van Huffel, S., De Moor, B.
Exact and Approximate Modeling of Linear Systems: A Behavioral Approach elegantly introduces the behavioral approach to mathematical modeling, an approach that requires models to be viewed as sets of...
Exact and Approximate Modeling of Linear Systems: A Behavioral Approach (2006)
Markovsky, I., Willems, J. C., Van Huffel, S., De Moor, B.
Exact and Approximate Modeling of Linear Systems: A Behavioral Approach elegantly introduces the behavioral approach to mathematical modeling, an approach that requires models to be viewed as sets of...
Application of structured total least squares for system identification and model reduction (2005)
Markovsky, I., Willems, J. C., Van Huffel, S., De Moor, B., Pintelon, R.
The following identification problem is considered: minimize the l2 norm of the difference between a given time series and an approximating one under the constraint that the approximating time series...
Application of structured total least squares for system identification and model reduction (2005)
Markovsky, I., Willems, J. C., Van Huffel, S., De Moor, B., Pintelon, R.
The following identification problem is considered: minimize the l2 norm of the difference between a given time series and an approximating one under the constraint that the approximating time series...
Application of structured total least squares for system identification and model reduction (2005)
Markovsky, I., Willems, J. C., Van Huffel, S., De Moor, B., Pintelon, R.
The following identification problem is considered: minimize the l2 norm of the difference between a given time series and an approximating one under the constraint that the approximating time series...
Deterministic Least Squares Filtering (2004)
deterministic interpretation of the Kalman #ltering formulas is given, using theprinc#RB of least squares estimation. The observed signal and the to-be-estimated signal are modeled as being generated...
Reflections on Fourteen Cryptic Issues Concerning the Nature of Statistical Inference (2003)
Salomé, D., Schaafsma, W., Steerneman, A. G. M., Willems, J. C., Cox, D. R.
The present paper provides the original formulation and a joint response of a group of statistically trained scientists statisticians to fourteen cryptic issues for discussion, which were handed out...
Reflections on fourteen cryptic issues concerning the nature of statistical inference (2003)
Salome,D., Schaafsma,W., Steerneman,A. G. M., Willems,J. C., Cox,D. R.
The present paper provides the original formulation and a joint response of a group of statistically trained scientists to fourteen cryptic issues for discussion, which were handed out to the public...
Reflections on fourteen cryptic issues concerning the nature of statistical inference (2003)
Salome, D., Schaafsma, W., Steerneman, A. G. M., Willems, J. C., Cox, D. R.
The present paper provides the original formulation and a joint response of a group of statistically trained scientists to fourteen cryptic issues for discussion, which were handed out to the public...
Robustness Results for State Feedback Regulators, (2002)
State feedback regulators are derived which have better robustness characteristics than the standard 60 deg phase margin and 50% gain reduction tolerance of standard linear- quadratic regulators. It...
Synthesis of Dissipative Systems Using Quadratic Differential Forms (2002)
J. C. Willems, H. L. Trentelman
The problem discussed is that of designing a controller for a linear system that renders a quadratic functional non-negative. Our treatment of this problem is completely representation free. The...
Synthesis of dissipative systems using quadratic differential forms (2002)
H. L. Trentelman, J. C. Willems
In this second part of the paper, we discuss several important special cases of the problem solved in part I. These are: Disturbance attenuation and passivation, the full information case, the...
Synthesis of dissipative systems using quadratic differential forms : Part II (2002)
\emph{IEEE Transactions on Automatic Control}, vol. 47, no. 1, Jan. 2002
Synthesis of dissipative systems using quadratic differential forms : Part I (2002)
\emph{IEEE Transactions on Automatic Control}, vol. 47, no. 1,Jan. 2002
Closed-loop identification and self-tuning (1998)
Polderman, J.W., Blondel, V.D., Sontag, E.D., Vidyasagar, M., Willems, J.C.
Where are the zeros located? (1998)
Zwart, H.J., Blondel, V.D., Sontag, E.D., Vidyasagar, M., Willems, J.C.
On chaotic observer design (1998)
Nijmeijer, H., Blondel, V.D., Sontag, E.D., Vidyasagar, M., Willems, J.C.
D. J. Hill, “Dissipativeness, stability theory and some remaining (1992)
M. Vidyasagar, A. Venelli, New Relationship Between, C. F. Martin, R. E. Saeks, C. I. Byrnes, ...
-, “A new Lyapunov function for interconnected power sys-