Title :
Maximal asymptotics of neutral type systems
Author :
Sklyar, G.M. ; Polak, Piotr
Author_Institution :
Inst. of Math., Univ. of Szczecin, Szczecin, Poland
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;
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
DOI :
10.1109/MMAR.2012.6347816
