DocumentCode
2123486
Title
Maximal asymptotics of neutral type systems
Author
Sklyar, G.M. ; Polak, Piotr
Author_Institution
Inst. of Math., Univ. of Szczecin, Szczecin, Poland
fYear
2012
fDate
27-30 Aug. 2012
Firstpage
607
Lastpage
610
Abstract
We consider a differential system of neutral type with distributed delay. We obtain a precise norm estimation of semigroup generated by the operator corresponding to the system in question. Our result is based on a spectral analysis of the operator and some uniform estimation of norms of the exponentials of matrices. We also discuss the stability properties of corresponding solutions and the existence of the fastest growing solution.
Keywords
differential equations; group theory; matrix algebra; differential equation; differential system; distributed delay; matrices exponential; maximal asymptotics; neutral type systems; operator spectral analysis; semigroup norm estimation; stability properties; Asymptotic stability; Differential equations; Eigenvalues and eigenfunctions; Equations; Estimation; Mathematical model; Stability analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Methods and Models in Automation and Robotics (MMAR), 2012 17th International Conference on
Conference_Location
Miedzyzdrojie
Print_ISBN
978-1-4673-2121-1
Type
conf
DOI
10.1109/MMAR.2012.6347816
Filename
6347816
Link To Document