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Lyapunov Matrices for Integral Delay Systems with Piecewise Constant Kernel. / Ortiz, Reynaldo; Egorov, Alexey; Mondié, Sabine.
в: IFAC-PapersOnLine, Том 55, № 36, 01.01.2022, стр. 186-191.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Lyapunov Matrices for Integral Delay Systems with Piecewise Constant Kernel
AU - Ortiz, Reynaldo
AU - Egorov, Alexey
AU - Mondié, Sabine
PY - 2022/1/1
Y1 - 2022/1/1
N2 - Integral delay systems with piecewise constant kernel are studied. The delay Lyapunov matrix for the case of commensurate delays is computed by solving an auxiliary boundary value problem of delay-free linear matrix differential equations. The relation between the solution of the auxiliary system and the delay Lyapunov matrix is discussed. It is also shown that if the integral delay system satisfies the Lyapunov condition, then the delay Lyapunov matrix is unique.
AB - Integral delay systems with piecewise constant kernel are studied. The delay Lyapunov matrix for the case of commensurate delays is computed by solving an auxiliary boundary value problem of delay-free linear matrix differential equations. The relation between the solution of the auxiliary system and the delay Lyapunov matrix is discussed. It is also shown that if the integral delay system satisfies the Lyapunov condition, then the delay Lyapunov matrix is unique.
U2 - 10.1016/j.ifacol.2022.11.355
DO - 10.1016/j.ifacol.2022.11.355
M3 - Article
VL - 55
SP - 186
EP - 191
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
SN - 2405-8971
IS - 36
ER -
ID: 119399323