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...
Representation and Learning in Feedforward Neural Networks (2007)
This paper gives an introduction to feedforward neural networks. The aim of this paper is to present some of the basics of artificial neural networks, with a particular emphasis on the following two...
strictly suboptimal state space (2007)
of strictly dissipative systems and the
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...
Synthesis of Dissipative Systems Using Quadratic Differential Forms (2002)
Jan C. Willems, H. L. Trentelman, Senior Member
Abstract—The problem discussed is that of designing a controller for a linear system that renders a quadratic functional nonnegative. Our formulation and solution of this problem is completely...
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 (2002)
H. L. Trentelman, Senior Member, Jan C. Willems
Abstract—In this second part of this paper, we discuss several important special cases of the problem solved in Part I. These are: disturbance attenuation and passivation, the full information...
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
Vincent D. Blondel, Alexander Megretski, Roger Brockett, Jean-michel Coron, Miroslav Krstic, Anders Rantzer, ...
Some of the problems appearing in this booklet will appear in a more extensive forthcoming book on open problems in systems theory. For more information about this future book, please consult the...
The Kalman-Yakubovich-Popov lemma in a behavioural framework (1997)
The classical Kalman-Yakubovich-Popov Lemma provides a link between dissipativity of a system in state-space form and the solution to a linear matrix inequality. In this paper we derive the KYP Lemma...
The Kalman-Yakubovich-Popov lemma in a behavioural framework (1997)
The classical Kalman-Yakubovich-Popov Lemma provides a link between dissipativity of a system in state-space form and the solution to a linear matrix inequality. In this paper we derive the KYP Lemma...
The Kalman-Yakubovich-Popov lemma in a behavioural framework (1997)
The classical Kalman-Yakubovich-Popov Lemma provides a link between dissipativity of a system in state-space form and the solution to a linear matrix inequality. In this paper we derive the KYP Lemma...