Full Observability Criteria for Linear Impulsive Control Systems with Application to Diabetes Type I Dynamics
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 25, Issue 5
Abstract
The main goal of this paper is to derive a full characterization of the observability of linear time-invariant impulsive systems. Two cases are studied. The rst case considers continuous outputs. A suitable adapted Kalman criterion is shown to characterize properly the observability. In the second case, only discrete-time measurements of the outputs are available. A new rank condition based on the structure of the impulses is shown to characterize observability. Finally, these results are tested and illustrated both on academic examples and on the dynamical model of diabetic type I patients. The latter provides a nice case study for an impulsive system with discrete time measurements as the meals may be approximated by some impulse inputs and the glycemia measurement is usually done in real life at various times through the day.
Authors and Affiliations
P. S. Rivadeneira
Keywords
Related Articles
- EP ID EP322402
- DOI 10.9734/JAMCS/2017/37398
- Views 91
- Downloads 0
DT- optimality Criteria for Second Order Rotatable Designs Constructed Using Balanced Incomplete Block Design
Experimenters have come to a realization that a design can perform very well in terms of a particular statistical characteristic and still perform poorly in terms of a rival characteristic. Due to this studies have narro...
Viscosity Approximation Methods in Reflexive Banach Spaces with a Sequence of Contractions
The aim of this paper is to study viscosity approximation methods in re exive Banach spaces. Let E be a re exive Banach space which admits a weakly sequentially continuous duality mapping j : E → E , C a nonempty close...
The Propositional Lattice of Divisibility and Beal's Conjecture
This article is devoted to the lattice-theoretic analysis of Beal's conjecture. We discuss whether this conjecture is deducible from the laws of logic of divisibility.
On the Notes of Quasi-Boundary Value Method for Solving Cauchy-Dirichlet Problem of the Helmholtz Equation
The Cauchy-Dirichlet problem of the Helmholtz equation yields unstable solution, which when solved with the Quasi-Boundary Value Method (Q-BVM) for a regularization parameter = 0. At this point of regularization parame...
Modelling In uenza Dynamics with Drug Resistance Aspect
Despite improvement in medical and public health standards, in uenza continues to plague humankind causing high morbidity,mortality and socio-economic cost. E orts to e ectively combat the spread of in uenza can be put i...