Publisher : The Korean Institute of Electrical Engineers
DOI : 10.5370/JEET.2011.6.5.713
Title & Authors
New Stability Criteria for Linear Systems with Interval Time-varying State Delays Kwon, Oh-Min; Cha, Eun-Jong;
In the present paper, the problem of stability analysis for linear systems with interval time-varying delays is considered. By introducing a new Lyapunov-Krasovskii functional, new stability criteria are derived in terms of linear matrix inequalities (LMIs). Two numerical examples are given to show the superiority of the proposed method.
Linear systems;Stability;Time-varying delays;Lyapunov method;
Exponential synchronization criteria for Markovian jumping neural networks with time-varying delays and sampled-data control, Nonlinear Analysis: Hybrid Systems, 2014, 14, 16
Analysis on robust performance and stability for linear systems with interval time-varying state delays via some new augmented Lyapunov–Krasovskii functional, Applied Mathematics and Computation, 2013, 224, 108
Stability and stabilization for discrete-time systems with time-varying delays via augmented Lyapunov–Krasovskii functional, Journal of the Franklin Institute, 2013, 350, 3, 521
New approaches on stability criteria for neural networks with interval time-varying delays, Applied Mathematics and Computation, 2012, 218, 19, 9953
Novel Results for Global Exponential Stability of Uncertain Systems with Interval Time-varying Delay, Journal of Electrical Engineering and Technology, 2013, 8, 6, 1542
H∞ state-feedback control of time-delay systems using reciprocally convex approach, Journal of Process Control, 2014, 24, 6, 892
Co60Gamma-Ray Effects on the DAC-7512E 12-Bit Serial Digital to Analog Converter for Space Power Applications, Journal of Electrical Engineering and Technology, 2014, 9, 6, 2065
Non-Fragile Synchronization Control For Markovian Jumping Complex Dynamical Networks With Probabilistic Time-Varying Coupling Delays, Asian Journal of Control, 2015, 17, 5, 1678
On stability analysis for neural networks with interval time-varying delays via some new augmented Lyapunov–Krasovskii functional, Communications in Nonlinear Science and Numerical Simulation, 2014, 19, 9, 3184
New criteria on delay-dependent stability for discrete-time neural networks with time-varying delays, Neurocomputing, 2013, 121, 185
M. Kowsalya, K. K. Ray, Udai Shipurkar, and Saranathan, "Voltage Stability Enhancement by optimal placement of UPFC," J. Electri. Eng. & Tech., vol.4, no.3, pp.310-314, 2009.
C. Subramani, Subhransu Sekhar Dash, M. Jagdeeshkumar and M. Arun Bhaskar, "Stability index based voltage collapse prediction and contingency analysis," J. Electri. Eng. & Tech., vol.4, no.4, pp.438−442, 2009.
Mansour-Khalilian, Maghsoud-Mokhtari, Daryoosh- Nazarpour, and Behrouz-Tousi, "Transient stability enhancement by DSSC with fuzzy supplementary controller," J. Electri. Eng. & Tech., vol.5, no.3, pp.415−422, 2010.
J. Raja, and C. Christober Asir Rajan, "Stability analysis and effect of CES and ANN based AGC for frequency excursion," J. Electri. Eng. & Tech., vol.5, no.4, pp.552−560, 2010.
S.-I. Niculescu, Lecture Notes in Control and Information Sciences, Delay effects on stability: A robust control approach: London, Springer-Verlag, 2001.
J.-P. Richard, "Time-delay systems: an overview of some recent advances and open problems," Automatica, vol. 39, pp. 1667-1694, 2003.
S. Xu, and J. Lam, "A survey of linear matrix inequality techniques in stability analysis of delay systems," Int. J. Syst. Sci., vol. 39, pp. 1095-1113, 2008.
D. Yue, S. Won, and O. Kwon, "Delay dependent stability of neutral systems with time delay: an LMI Approach," IEE Proc.-Control Theory Appl., vol. 150, pp. 23-27, 2003.
P. G. Park, and J. W. Ko, "Stability and robust stability for systems with a time-varying delay," Automatica, vol. 43, pp. 1855-1858, 2007.
O. M. Kwon, and J. H. Park, "On improved delaydependent robust control for uncertain time-delay systems," IEEE Trans. Autom. Control, vol. 49, pp. 1991-1995, 2004.
T. Li, L. Guo, and C. Lin, "A new criterion of delay-dependent stability for uncertain time-delay systems," IET Control Theory Appl., vol. 1, pp. 611-616, 2007.
Y. Ariba, and F. Gouaisbaut, "Delay-dependent stability analysis of linear systems with time-varying delay," in Proc. 46th IEEE Conf. on Decision and Control, pp.2053-2058, 2007.
H. Shao, "New delay-dependent stability criteria for systems with interval delay," Automatica, vol. 45, pp. 744-749, 2009.
J. Sun, G. P. Liu, J. Chen, and D. Rees, "Improved delay-range-dependent stability criteria for linear systems with time-varying delays," Automatica, vol. 46, pp. 466-470, 2010.
X.-L. Zhu, Y. Wang, and G.-H. Yang, "New stability criteria for continuous-time systems with interval time-varying delay," IET COntrol Theory Appl., vol. 4, pp.1101-1107, 2010.
K. Gu, "An integral inequality in the stability problem of time-delay systems," in Proc. 39th IEEE Conf. on Decision and Control, pp. 2805-2810, 2000.
S. Boyd, L. Ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequalities in systems and control Theory: Philadelphia, SIAM, 1994.
R. E. Skelton, T. Iwasaki, and K. M. Grigoradis, A unified algebraic approach to linear control design: New York, Taylor and Francis, 1997.