Artículos de revistas
Discretisation Of Sparse Linear Systems: An Optimisation Approach
Registro en:
Discretisation Of Sparse Linear Systems: An Optimisation Approach. Elsevier Science Bv, v. 80, p. 42-49 JUN-2015.
0167-6911
WOS:000356106000006
10.1016/j.sysconle.2015.03.009
Autor
Souza
M.; Geromel
J. C.; Colaneri
P.; Shorten
R. N.
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) This paper addresses the discretisation problem for sparse linear systems. Classical methods usually destroy sparsity patterns of continuous-time systems. We develop an optimisation procedure that yields the best approximation to the discrete-time dynamical matrix with a prescribed sparsity pattern and subject to stability and other constraints. By formulating this problem in an adequate manner, tools from convex optimisation can be then applied. Error bounds for the approximation are provided for special classes of matrices. Numerical examples are included. (c) 2015 Elsevier B.V. All rights reserved. 80
42 49 Science Foundation Ireland [11/PI/1177] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) FAPESP [2012/02781-7] CNPq [303887/2014-1]