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Stabilization of positive linear systems

✍ Scribed by Patrick De Leenheer; Dirk Aeyels

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
137 KB
Volume
44
Category
Article
ISSN
0167-6911

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✦ Synopsis

We consider stabilization of equilibrium points of positive linear systems which are in the interior of the ΓΏrst orthant. The existence of an interior equilibrium point implies that the system matrix does not possess eigenvalues in the open right half plane. This allows to transform the problem to the stabilization problem of compartmental systems, which is known and for which a solution has been proposed already. We provide necessary and su cient conditions to solve the stabilization problem by means of a ne state feedback. A class of stabilizing feedbacks is given explicitly.

πŸ“œ SIMILAR VOLUMES

Input-to-state stabilization of linear s
Input-to-state stabilization of linear systems with positive outputs
✍ D. NeΕ‘iΔ‡; E.D. Sontag πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 135 KB

This paper considers the problem of stabilization of linear systems for which only the magnitudes of outputs are measured. It is shown that, if a system is controllable and observable, then one can ΓΏnd a stabilizing controller, which is robust with respect to observation noise (in the ISS sense).