Title

Exponential stability of nonlinear neutral type systems

Journal title

Archives of Control Sciences

Yearbook

2012

Issue

No 2

Authors

Michael Gil'

Divisions of PAS

Nauki Techniczne

Publisher

Committee of Automatic Control and Robotics PAS

Date

2012

Identifier

DOI: 10.2478/v10170-011-0016-0 ; ISSN 1230-2384

Source

Archives of Control Sciences; 2012; No 2

References

Agarwal R. (2000), Asymptotic stability of certain neutral differential equations, Math. Comput. Model, 31, 9, doi.org/10.1016/S0895-7177(00)00056-X ; Bellen A. (1999), Methods for linear systems of circuits delay differential equations of neutral type, IEEE Trans. Circuits Syst, 46, 212, doi.org/10.1109/81.739268 ; Chen Y. (2008), On robustly exponential stability of uncertain neutral systems with time-varying delays and nonlinear perturbations, Nonlinear Anal, 68, 2464, doi.org/10.1016/j.na.2007.01.070 ; Dunford N. (1966), Linear Operators, part I. ; Fridman E. (2001), New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems, Systems Control Lett, 43, 309, doi.org/10.1016/S0167-6911(01)00114-1 ; Gil' M. (2003), Operator Functions and Localization of Spectra. ; Gil' M. (2012), Stability of vector functional differential equations: a survey, Quaestiones Mathematicae, 35, 83, doi.org/10.2989/16073606.2012.671261 ; Hale J. (1993), Introduction to Functional Differential Equations, doi.org/10.1007/978-1-4612-4342-7 ; Kolmanovskii V. (1986), Stability of Functional Differential Equations. ; Marcus M. (1964), A Survey of Matrix Theory and Matrix Inequalities. ; Nam P. (2009), An improved stability criterion for a class of neutral differential equations, Appl. Math. Lett, 22, 31, doi.org/10.1016/j.aml.2007.11.006 ; Sun Y. (2006), Note on asymptotic stability of a class of neutral differential equations, Appl. Math. Lett, 19, 949, doi.org/10.1016/j.aml.2005.10.015 ; Wang X. (2011), Globally exponential stability of periodic solutions for impulsive neutral-type neural networks with delays, Nonlinear Dyn, 64, 65, doi.org/10.1007/s11071-010-9846-8 ; Wu M. (2004), New delay-dependent stability criteria and stabilizing method for neutral systems, IEEE Trans. Automat. Control, 49, 2266, doi.org/10.1109/TAC.2004.838484