Title
On the Numerical Solution of Differential Linear Matrix Inequalities
Abstract
This paper presents a novel approach for the numerical solution of differential linear matrix inequalities. The solutions are searched in the class of piecewise-quadratic functions with symmetric matrix coefficients to be determined. To limit the numbers of unknowns, congruence constraints are considered to guarantee continuity of the solution and of its derivative. In Example section, some control problems involving differential linear matrix inequalities are considered and solved in order to compare the proposed approach with alternative approximation methods adopted in the literature.
Year
DOI
Venue
2020
10.1007/s10957-020-01650-9
Journal of Optimization Theory and Applications
Keywords
DocType
Volume
Differential LMIs, Optimization, Time-varying systems, 93C05, 93B50, 93D05, 93C57
Journal
185
Issue
ISSN
Citations 
2
0022-3239
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
M. Ariola122825.36
Gianmaria De Tommasi200.34
Adriano Mele301.35
Gaetano Tartaglione463.40