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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 C 1-norm. By a Riemann coordinates approach a sufficient stability criterion is established in terms of the boundary conditions. This criterion can be interpreted as a robust stabilization… (More)
 L. Marconi and A. Isidori, " Robust global stabilization of a class of uncertain feedforward systems, " Syst. Linear systems with input nonlinearities: Global stabilization by scheduling a family of H ∞ type controllers, " Int. A high-gain scaling technique for adaptive output feedback control of feedforward systems, " IEEE Trans. Global high-gain-based… (More)
This paper deals with a model of a biochemical reactor system with distributed parameters and with a time delay in the growth response. Time delay has been introduced in microbial growth systems to explain the time lapse between the consumption of (liquid) substrate and its conversion to (solid) biomass. We study here the properties of the resulting system… (More)
The class of Sturm-Liouville systems is defined. It appears to be a subclass of Riesz-spectral systems, since it is shown that the negative of a Sturm-Liouville operator is a Riesz-spectral operator on L 2 (a, b) and the infinitesimal generator of a C0-semigroup of bounded linear operators.
— We investigate the problem of the stability of a system of two conservation laws perturbed by non-homogeneous terms. We assume that these non-homogeneous terms have a small C 1-norm. By a Riemann coordinates approach we state a sufficient criterion for the stability in terms of the boundary conditions. This stability result is then applied to the problem… (More)