State Space Formulas for a Solution of the Suboptimal Nehari Problem on the Unit Disc (2009)
Curtain, R. F., Opmeer, Mark R
We give state space formulas for a ("central") solution of the suboptimal Nehari problem for functions defined on the unit disc and taking values in the space of bounded operators in separable...
R. F. Curtain, H. Logemann, Claverton Down, O. Staffans
We derive absolute stability results of Popov-type for in nite-dimensional systems in an input-output setting. Our results apply to feedback systems where the linear part is the series...
System theoretic properties of platoon-type systems (2008)
Curtain, R.F., Iftime, O.V., Zwart, H.J.
This paper presents readily checkable criteria for several system theoretic properties (stability, approximate and exact controllability, exponential stabilizability) for a particular class of...
H. Logemann, R.F. Curtain, Claverton Down
: We derive absolute stability results for well-posed innite-dimensional systems which, in a sense, extend the well-known circle criterion to the case that the underlying linear system is the series...
Adaptive Observers for Structurally Perturbed Positive Real Delay Systems (2007)
M. A. Demetriou, R. F. Curtain, K. Ito
The aim of this investigation is to construct an adaptive observer for a class of multivariable delay systems having a known exogenous input and a structured perturbation with an unknown constant...
In this paper we consider the Hankel operator of stable matrix-valued functions (2007)
Compactness and nuclearity of the Hankel operator and internal stability of
Absolute Stability Results in Infinite Dimensions (2007)
R. F. Curtain, H. Logemann, Claverton Down, O. Staffans
We derive absolute stability results of Popov and circle-criterion type for in nite-dimensional systems in an input-output setting. Our results apply to feedback systems where the linear part is the...
Iftime, O.V., Zwart, H.J., Curtain, R.F.
We obtain a representation of all self-adjoint solutions of the control algebraic Riccati equation associated to the infinite-dimensional state linear system Σ(A,B,C) under the following...
A frequency domain solution to the sub-optimal Hankel norm approximation problem (2002)
An elementary proof is presented for sufficient conditions for the existence of a solution to the sub-optimal Hankel norm approximation problem for the class of matrix-valued continuous functions...
Guo, B.Z., Zwart, H.J., Curtain, R.F.
In this paper we investigate the relation between discrete and continuous operators. More precisely, we investigate the properties of the semigroup generated by $A$, and the sequence $A_d^n$, $n \in...
Inertia theorems for operator Lyapunov inequalities (2000)
Abstract. We study operator Lyapunov inequalities and equations for which the innitesimal generator is not necessarily stable, but it satises the spectrum decomposition assumption and it has at most...
Inertia theorems for operator Lyapunov equations (1999)
Abstract. We study operator Lyapunov equations in which the infinitesimal generator is not necessarily stable; but it satisfies a spectrum decomposition assumption and it has at most finitely many...
Adaptive Compensators for Perturbed Positive Real Infinite Dimensional Systems (1998)
R. F. Curtain, M. A. Demetriou, K. Ito
The aim of this investigation is to construct an adaptive observer and an adaptive compensator for a class of infinite-dimensional plants having a known exogenous input and a structured perturbation...
The first part of the paper concerns the existence of strongly stabilizing solutions to the standard algebraic Riccati equation for a class of infinite-dimensional systems of the form...
Curtain, R.F., Zwart, Dr. H.J.
The first part of the paper concerns the existence of strongly stabilizing solutions to the standard algebraic Riccati equation for a class of infinite-dimensional systems of the form...
The first part of the paper concerns the existence of strongly stabilizing solutions to the standard algebraic Riccati equation for a class of infinite-dimensional systems of the form...
Stochastic models for uncertain flexible systems (1987)
If a spectral operator is perturbed by an infinite-dimensional white noise process, it generates a stochastic evolution operator which has well defined second order properties. This type of...