Stability radii of infinite-dimensional positive systems

1997 ◽  
Vol 10 (3) ◽  
pp. 223-236 ◽  
Author(s):  
Andreas Fischer
Keyword(s):  
Positive Systems ◽  
Infinite Dimensional ◽  
Stability Radii

Positive observers for linear positive systems in a Hilbert lattice space

2020 ◽  
Author(s):  
Abdellaziz Binid ◽  
Mohammed Elarbi Achhab ◽  
Mohamed Laabissi
Keyword(s):  
Plug Flow ◽  
The State ◽  
Observer Design ◽  
Positive Systems ◽  
Reactor Model ◽  
Infinite Dimensional ◽  
Bounded Perturbation ◽  
Lattice Space ◽  
Hilbert Lattice ◽  
Positive Observer

Abstract In this work, we investigate the question of designing a positive observer for a class of infinite dimensional linear positive systems. We present a new observer design based on a classical Luenberger-like observer. The proposed observer is positive. That is, it ensures that the state estimates are nonnegative at any time. The existence of such positive observers is proven by a specific choice of the observer gain and using positive bounded perturbation results. We show in particular that the error of the state estimation converges exponentially to zero. Finally, the main result is applied to an isothermal tubular (bio) reactor model, namely the plug-flow (bio) reactor model. The approach is illustrated by some numerical simulations.

scholarly journals The Robustness of Strong Stability of Positive Homogeneous Difference Equations

2008 ◽  
Vol 2008 ◽  
pp. 1-12 ◽  
Author(s):  
The Anh Bui ◽  
Dang Xuan Thanh Duong
Keyword(s):  
Difference Equation ◽  
Difference Equations ◽  
Strong Stability ◽  
Positive Systems ◽  
Stability Radii

We study the robustness of strong stability of the homogeneous difference equation via the concept of strong stability radii: complex, real and positive radii in this paper. We also show that in the case of positive systems, these radii coincide. Finally, a simple example is given.

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