System theoretic properties of a class of spatially invariant systems (2009)
Curtain, R., Iftime, O.V., Zwart, H.J.
In this paper we develop new readily testable criteria for system theoretic properties such as stability, controllability, observability, stabilizability and detectability for a class of spatially...
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...
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...
Tools for analysis of Dirac structures on Hilbert spaces (2004)
Golo, G., Iftime, O.V., Zwart, H.J., Van Der Schaft, A.J.
In this paper tools for the analysis of Dirac structures on Hilbert spaces are developed. Some properties are pointed out and two natural representations of Dirac structures on Hilbert spaces are...
Nehari problems and equalizing vectors for infinite-dimensional systems (2001)
For a class of infinite-dimensional systems we obtain a simple frequency domain solution for the suboptimal Nehari extension problem. The approach is via $J$-spectral factorization, and it uses the...
The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems (2000)
In this paper we provide sufficient conditions for the solvability of the standard $H_{\infty}$-suboptimal control problem for linear, time invariant, infinite-dimensional systems with...
J-spectral factorization and equalizing vectors (2000)
For the Wiener class of matrix-valued functions we provide necessary and sufficient conditions for the existence of a $J$-spectral factorization. One of these conditions is in terms of equalizing...