Details

Title

Exponential stability of nonlinear neutral type systems

Journal title

Archives of Control Sciences

Yearbook

2012

Issue

No 2

Authors

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

Open Access Policy

Archives of Control Sciences is an open access journal with all content available with no charge in full text version.


The journal content is available under the licencse CC BY-NC-ND 4.0 https://creativecommons.org/licenses/by-nc-nd/4.0/.
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