Title

LMI based control design for linear systems with distributed time delays

Journal title

Archives of Control Sciences

Yearbook

2012

Issue

No 2

Authors

Filasová, Anna ; Gontkovič, Daniel ; Krokavec, Dušan

Divisions of PAS

Nauki Techniczne

Publisher

Committee of Automatic Control and Robotics PAS

Date

2012

Identifier

DOI: 10.2478/v10170-011-0021-3 ; ISSN 1230-2384

Source

Archives of Control Sciences; 2012; No 2

References

Boyd D. (1994), Linear Matrix Inequalities in System and Control Theory, doi.org/10.1137/1.9781611970777 ; Z. Feng and J. Lam: Integral partitioning approach to stability analysis and stabilization of distributed time delay systems. <i>Preprints of the 18^th IFAC World Congress</i>, Milano, Italy, (2011), 5094-5099. ; Feng Z. (2012), Integral partitioning approach to robust stabilization for uncertain distributed time delay systems, Int. J. of Robust and Nonlinear Control, 22, 676, doi.org/10.1002/rnc.1724 ; Fiagbedzi Y. (1987), A multistage reduction technique for feedback stabilizing distributed time-lag systems, Automatica, 23, 3, 311, doi.org/10.1016/0005-1098(87)90005-7 ; Gahinet P. (1995), LMI Control Toolbox User's Guide. ; Gontkovič D. (2012), State control design for linear systems with distributed time delay, null, 97. ; Gouaisbaut F. (2006), Delay-dependent stability analysis of linear time delay systems, null. ; Gu K. (2003), An improved stability criterion for systems with distributed delays, Int. J. of Robust and Nonlinear Control, 13, 819, doi.org/10.1002/rnc.847 ; Herrmann G. (2007), Linear matrix inequalities in control. Mathematical Methods for Robust and Nonlinear Control, 123. ; Krasovskii N. (1956), On the application of Lyapunov's second method for equations with time delays, Prikladnaja matematika i mechanika, 20, 315. ; Krasovskii N. (1963), Stability of Motion: Application of Lyapunov's Second Method to Differential Systems and Equations with Delay. ; Krokavec D. (2006), Discrete-Time Systems. ; Krokavec D. (2010), Exponential stability of networked control systems with network-induced random delays, Archives of Control Sciences, 20, 2, 165, doi.org/10.2478/v10170-010-0011-x ; Niculescu S. (1998), Stability and robust stability of time-delay systems: A guided tour. Stability and Control of Time-delay Systems, 1. ; Peaucelle D. (2002), User's Guide for SeDuMi Interface 1.04. ; Shaked U. (1998), Bounded real criteria for linear time systems with state-delay, IEEE Trans. on Automatic Control, 43, 1116, doi.org/10.1109/9.701117 ; Suh Y. (2006), Stability condition of distributed delay systems based on an analytic solution to Lyapunov functional equations, Asian J. of Control, 8, 91, doi.org/10.1111/j.1934-6093.2006.tb00258.x ; Sun J. (2009), On robust stability of uncertain neutral systems with discrete and distributed delays, null, 5469. ; Wu M. (2004), Delay-dependent criteria for robust stability of time-varying delay systems, Automatica, 40, 1435, doi.org/10.1016/j.automatica.2004.03.004 ; Zheng F. (2002), Robust control of uncertain distributed delay systems with application to the stabilization of combustion in rocket motor chambers, Automatica, 38, 487, doi.org/10.1016/S0005-1098(01)00232-1 ; Zhong Q. (2006), Robust Control of Time-delay Systems.