Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Diagonal Riccati stability and the Hadamard product. / Aleksandrov, Alexander; Mason, Oliver; Vorob'eva, Anna.
в: Linear Algebra and Its Applications, Том 534, 01.12.2017, стр. 158-173.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
TY - JOUR
T1 - Diagonal Riccati stability and the Hadamard product
AU - Aleksandrov, Alexander
AU - Mason, Oliver
AU - Vorob'eva, Anna
PY - 2017/12/1
Y1 - 2017/12/1
N2 - We present an extension of a recent characterisation of diagonal Riccati stability and, using this, extend a result of Kraaijevanger on diagonal Lyapunov stability to Riccati stability of time-delay systems. We also describe a class of transformations that preserve the property of being diagonally Riccati stable and apply these two results to provide novel stability results for classes of time-delay systems.
AB - We present an extension of a recent characterisation of diagonal Riccati stability and, using this, extend a result of Kraaijevanger on diagonal Lyapunov stability to Riccati stability of time-delay systems. We also describe a class of transformations that preserve the property of being diagonally Riccati stable and apply these two results to provide novel stability results for classes of time-delay systems.
KW - Diagonal stability
KW - Riccati inequality
KW - Time-delay systems
UR - http://www.scopus.com/inward/record.url?scp=85028465527&partnerID=8YFLogxK
U2 - 10.1016/j.laa.2017.08.015
DO - 10.1016/j.laa.2017.08.015
M3 - Article
AN - SCOPUS:85028465527
VL - 534
SP - 158
EP - 173
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
SN - 0024-3795
ER -
ID: 9173536