Title
Optimal Impulsive Control With Application to Antiangiogenic Tumor Therapy
Abstract
An optimal control algorithm is proposed for impulsive differential systems, i.e., systems evolving according to ordinary differential equations between any two control actions, occurring impulsively at discrete-time instants. Measurements are as well acquired at discrete-time instants. A model-based control law is conceived for medical and healthcare frameworks and, indeed, is applied to synthesize a feedback antiangiogenic tumor therapy. To cope with unavailable or temporally sparse measurements, the control law benefits a state observer properly designed for continuous-discrete systems by suitably exploiting recent results on observers for time-delay systems. The closed-loop algorithm is validated by building up an exhaustive simulation campaign on a population of virtual subjects, each sampled from a multivariate Gaussian distribution whose mean and covariance matrix is identified from experimental data taken from the literature. <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">In silico</italic> results are encouraging and pave the way to further clinical verifications.
Year
DOI
Venue
2020
10.1109/TCST.2018.2861410
IEEE Transactions on Control Systems Technology
Keywords
Field
DocType
Discretization of nonlinear systems,impulsive control,optimal control,tumor therapy
State observer,Population,Differential systems,Experimental data,Ordinary differential equation,Control theory,Optimal control algorithm,Multivariate normal distribution,Covariance matrix,Mathematics
Journal
Volume
Issue
ISSN
28
1
1063-6536
Citations 
PageRank 
References 
2
0.40
5
Authors
3
Name
Order
Citations
PageRank
F. Cacace1443106.96
Valerio Cusimano263.83
Pasquale Palumbo38622.15