TitleLMI based control design for linear systems with distributed time delays
Journal titleArchives of Control Sciences
Divisions of PASNauki Techniczne
PublisherCommittee of Automatic Control and Robotics PAS
ReferencesBoyd 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<sup>th</sup> 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.