Details

Title

Lyapunov matrices approach to the parametric optimization of a neutral system

Journal title

Archives of Control Sciences

Yearbook

2016

Numer

No 1

Publication authors

Divisions of PAS

Nauki Techniczne

Abstract

<jats:p>In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the initial function of the neutral system. The Lyapunov functional is determined by means of the Lyapunov matrix.</jats:p>

Publisher

Committee of Automatic Control and Robotics PAS

Date

2016

Identifier

ISSN 1230-2384

References

KHARITONOV (2005), Lyapunov functionals and Lyapunov matrices for neutral type time delay systems : a single delay case of Control, Int J, 78, 783. ; DUDA (2016), A Lyapunov functional for a neutral system with a distributed time delay and Computers in Simulation, Mathematics, 119, 171. ; REPIN (1965), Quadratic Lyapunov functionals for systems with delay, Prikl Mat Mekh, 29, 564. ; DUDA (2011), Lyapunov functional for a linear system with both lumped and distributed delay and, Control Cybernetics, 40, 73. ; KHARITONOV (2012), On the uniqueness of Lyapunov matrices for a time - delay system Systems Control, Letters, 61, 397. ; KHARITONOV (2008), Lyapunov matrices for a class of neutral type time delay systems of Control, Int J, 81, 883. ; DUDA (2013), Parametric optimization of a neutral system with two delays and PDcontroller of Control, Archives Sciences, 23, 131. ; DUDA (2013), A Lyapunov functional for a neutral system with a time - varying delay of the Polish Academy of Sciences Technical, Bulletin Sciences, 61, 911. ; RODRIGUEZ (2004), Robust stability of neutral systems : a Lyapunov - Krasovskii constructive approach of Robust and Nonlinear Control, Int J, 14, 1345. ; DUDA (2015), Lyapunov matrices approach to the parametric optimization of timedelay systems of Control, Archives Sciences, 25, 279. ; DUDA (2012), Lyapunov functional for a system with a time - varying delay of Applied Mathematics and Computer, Int J Science, 22, 327. ; DUDA (2011), Parametric optimization of neutral linear system with two delays with P - controller of Control, Archives Sciences, 21, 363. ; DUDA (2010), Lyapunov functional for a linear system with two delays and, Control Cybernetics, 39, 797.

DOI

10.1515/acsc-2016-0005

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