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 87
- Downloads 0
Time Series Analysis for Modeling and Forecasting International Tourist Arrivals in Sri Lanka
Tourism is one of the income generating industries in a developing country which directly contribute to the economy. Therefore, forecasting tourist arrivals is important for making policy decisions to improve facilities...
Asymptotic Behavior of the System of Second Order Nonlinear Difference Equations
This paper deals with dynamics of the solutions to the system of second order nonlinear difference equations xn+1 = xn/A + ynyn-1, yn+1 =yn/B + xnxn-1, n = 0, 1, · · · , where A ∈ (0,∞), x-i ∈ (0,∞), y-i ∈ (0,∞), i = 0,...
The Posterior Distributions, the Marginal Distributions and the Normal Bayes Estimators of Three Hierarchical Normal Models
We calculate the posterior distributions, the marginal distributions and the normal Bayes estimators of three hierarchical normal models in the same manner. The three models are displayed in increasing complexity. We nd...
Experimental Study on Class Imbalance Problem Using an Oil Spill Training Data Set
There is a paucity of research on one of the key issues in oil spill detection: the imbalanced training set learning problem. This paper performs experiments to show the influence of the imbalanced learning problem (ILP)...
Log Prediction of Wireless Telecommunication Systems Based on a Sequence-To-Sequence Model
Nowadays people are becoming increasingly dependent on wireless networks. Taking precautions and acting in advance to avoid problems of wireless networks have already shown great importance. In analyzing problems of wire...