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- Title
Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients.
- Authors
Baštinec, J.; Diblík, J.; Khusainov, D. Ya.; Ryvolová, A.
- Abstract
This paper investigates the exponential-type stability of linear neutral delay differential systems with constant coefficients using Lyapunov-Krasovskii type functionals, more general than those reported in the literature. Delay-dependent conditions sufficient for the stability are formulated in terms of positivity of auxiliary matrices. The approach developed is used to characterize the decay of solutions (by inequalities for the norm of an arbitrary solution and its derivative) in the case of stability, as well as in a general case. Illustrative examples are shown and comparisons with known results are given.
- Subjects
NUMERICAL solutions to linear differential equations; EXPONENTIAL functions; LYAPUNOV stability; MATHEMATICAL constants; LYAPUNOV functions; FUNCTIONALS; MATHEMATICAL inequalities; MATRICES (Mathematics)
- Publication
Boundary Value Problems, 2010, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1155/2010/956121