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MCSS
2008
Springer
13 years 4 months ago
Weakly coprime factorization and state-feedback stabilization of discrete-time systems
Abstract: The LQ-optimal state feedback of a finite-dimensional linear time-invariant system determines a coprime factorization NM-1 of the transfer function. We show that the same...
Kalle M. Mikkola
MCSS
2008
Springer
13 years 3 months ago
Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index
We study optimal control problems for general unstructured nonlinear differential-algebraic equations of arbitrary index. In particular, we derive necessary conditions in the case ...
Peter Kunkel, Volker Mehrmann
MCSS
2008
Springer
13 years 4 months ago
Robust boundary control of systems of conservation laws
The stability problem of a system of conservation laws perturbed by non-homogeneous terms is investigated. These non-homogeneous terms are assumed to have a small C1 -norm. By a Ri...
Christophe Prieur, Joseph J. Winkin, Georges Basti...
MCSS
2008
Springer
13 years 4 months ago
Maximal solution to algebraic Riccati equations linked to infinite Markov jump linear systems
In this paper we deal with a perturbed algebraic Riccati equation in an infinite dimensional Banach space. Besides the interest in its own right, this class of equations appears, ...
Jack Baczynski, Marcelo D. Fragoso
MCSS
2008
Springer
13 years 4 months ago
Lax-Phillips scattering theory and well-posed linear systems: a coordinate-free approach
Abstract. We give a further elaboration of the fundamental connections between Lax-Phillips scattering, conservative input/state/output linear systems and Sz.-Nagy-Foias model theo...
Joseph A. Ball, Philip T. Carroll, Yoichi Uetake