Details

Title

A Lyapunov functional for a system with both lumped and distributed delay

Journal title

Archives of Control Sciences

Yearbook

2017

Numer

No 4

Authors

Divisions of PAS

Nauki Techniczne

Publisher

Committee of Automatic Control and Robotics PAS

Date

2017

Identifier

ISSN 1230-2384

References

Góreckiand (2010), Relations between roots and coefficients of the transcendental equations, Bulletin of the Polish Academy of Sciences Technical Sciences, 12, 631. ; Kharitonov (2005), Lyapunov functionals and Lyapunov matrices for neutral type time delay systems : a single delay case of Control, Int J, 24, 783. ; Duda (null), Lyapunov matrices approach to the parametric optimization of time - delay systems of Control, Archives Sciences, 25, 2015. ; Duda (2016), Lyapunov matrices approach to the parametric optimization of a neutral system of Control, Archives Sciences, 26, 81. ; Bellman (1963), Differential difference Equations New York Academic, null, 1. ; Białasand (2010), Generalization of Vieta s formulae to the fractional polynomials generalizations the method of Graeffe, Bulletin of the Polish Academy of Sciences Technical Sciences, 625. ; Han (2004), On robust stability of neutral systems with time - varying discrete delay and norm - bounded uncertainty, Automatica, 17, 1087. ; Han (2005), new delay - dependent stability criterion for linear neutral systems with norm - bounded uncertainties in all system matrices of Systems, Int J Science, 20, 469. ; Kharitonov (2012), On the uniqueness of Lyapunov matrices for a time - delay system Systems, Control Letters, 27, 397. ; Kharitonov (2006), Lyapunov matrices for a class of time delay systems Systems, Control Letters, 25, 610. ; Duda (2013), Lyapunov functional for a neutral system with a time - varying delay, Bulletin of the Polish Academy of Sciences Technical Sciences, 911. ; Górecki (1989), Synthesis of New York Brisbane Toronto Singapore, Analysis Time Delay Systems, 13. ; Kharitonov (2008), Lyapunov matrices for a class of neutral type time delay systems of Control, Int J, 26, 883. ; Kharitonovand (2004), Exponential estimates for time delay systems Systems, Control Letters, 28, 53. ; Klamka (1991), Controllability of Academic Publishers, Dynamical Systems Dordrecht, 31. ; Han (2004), descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays, Automatica, 18, 1791. ; Han (2005), On stability of linear neutral systems with mixed time delays discretised Lyapunov functional approach, Automatica, 19, 1209. ; Kharitonovand (2003), Krasovskii approach to the robust stability analysis of time - delay systems, Automatica, 30, 39. ; Ivanescu (2003), On delay - dependent stability for linear neutral systems, Automatica, 23, 39. ; Gu (1997), set in the Stability Problem of Linear Time of Control, Delay Systems Int J, 15, 923. ; Yuand (1965), Lyapunov functionals for systems with delay, Mat Mekh, 29, 564. ; Fridman (2001), New Lyapunov - Krasovskii functionals for stability of linear retarded and neutral type systems Systems, Control Letters, 11, 309. ; Kharitonovand (2006), matrices for time - delay systems Systems, Control Letters, 29, 697. ; Guand (2009), Krasovskii functional for uniform stability of coupled differential - functional equations, Automatica, 16, 798. ; Han (2009), Improved stability criteria and controller design for linear neutral systems, Automatica, 22, 1948. ; Han (2009), discrete delay decomposition approach to stability of linear retarded and neutral systems, Automatica, 21, 517. ; Duda (2010), Lyapunov functional for a linear system with two delays and, Control Cybernetics, 39. ; Góreckiand (1984), Parametric optimization problem for control systems with time - delay th World Congress of IFAC IX CD - ROM, null, 14. ; Duda (2010), Lyapunov functional for a system with k - non - commensurate neutral time delays and, Control Cybernetics, 39. ; Duda (2016), Lyapunov functional for a neutral system with a distributed time delay and in, Mathematics Computers Simulation, 119.

DOI

10.1515/acsc-2017-0031

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