New Delay-Dependent Approach on Stability for Systems with Interval Time-Varying Delay

Tao Zhang; Yan Qiu Cui; Juan Wang; Jin Sheng Sun

doi:10.4028/www.scientific.net/AMR.181-182.325

Paper Titles

Theoretical and Simulative Study on Hydraulic Bridge of Water Hydraulic Servo Valve
p.305

MD Simulation of CO₂-CH₄ Mixed Hydrate on Crystal Structure and Stability
p.310

Research on Leakage Fault Diagnosis and its Simulation for Control Valve of Mixed Gas
p.316

Simulation Research on Electric Dominant Strategy of Plug-in Hybrid Electric Vehicle
p.320

New Delay-Dependent Approach on Stability for Systems with Interval Time-Varying Delay
p.325

Analysis of the Effect of Load Ratio on Fatigue Crack Growth
p.330

Research on Word Sense Disambiguation
p.337

Performance Comparison of Interdigitated Thin-Film Field-Effect Transistors Using Different Purity Semiconducting Carbon Nanotubes
p.343

Research on Tensile Mechanical Properties of GFRP Rebar after High Temperature
p.349

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 181-182New Delay-Dependent Approach on Stability for...

New Delay-Dependent Approach on Stability for Systems with Interval Time-Varying Delay

Abstract:

In this paper, the stability of systems with interval time-varying delay is investigated. The time delay varies in an interval. By employing a new and tighter integral inequality and constructing an appropriate type of Lyapunov functional, the delay-dependent stability criteria are derived. Because neither any model transformation nor free weighting matrices are employed in the theoretical derivation, the developed stability criteria significantly improve and simplify the existing stability conditions.

You might also be interested in these eBooks

Advanced Materials Science and Technology, ICMST 2010

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 181-182)

Pages:

325-329

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.181-182.325

Citation:

Cite this paper

Online since:

January 2011

Authors:

Tao Zhang, Yan Qiu Cui, Juan Wang, Jin Sheng Sun

Keywords:

Delay-Dependent, Interval, Stability, Time-Varying Delay

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] S. I. Niculescu: Delay effects on stability: A robust control approach, London: Springer, (2001).

Google Scholar

[2] K. Gu, L. Kharitonov and J. Chen: Stability of time-delay systems, Boston: Birkhauser, (2003).

Google Scholar

[3] M. A. Jose and R. Oscar: Control of Teleoperators with Communication Time Delay through State Convergence, Journal of Robotic Systems, vol. 21, p.167–182 (2004).

DOI: 10.1002/rob.20007

Google Scholar

[4] H. J. Gao, T. W. Chen and J. Lam: A New Delay System Approach to Network Based Control, Automatica, (2007).

Google Scholar

[5] Q. L. Han and K. Gu: Stability of linear systems with time-varying delay: A generalized discretized Lyapunov functional approach, Asian Journal of Control, vol. 3, pp.170-180 (2001).

DOI: 10.1111/j.1934-6093.2001.tb00056.x

Google Scholar

[6] X. F. Jiang and Q. L. Han: Delay-dependent robust stability for uncertain linear systems with interval time-varying delay, Automatica, vol. 42, pp.1059-1065 (2006).

DOI: 10.1016/j.automatica.2006.02.019

Google Scholar

[7] R. Mardavij and R. K. Carl: Robust Stability and H∞ Performance Analysis of Interval-Dependent Time Delay Systems, in Proceedings of the 2005 American Control Conference, pp.4265-4270 (2005).

Google Scholar

[8] C. Peng, D. Yue and Y. C. Tian: New Approach on Robust Delay-Dependent H∞ Control for Uncertain T–S Fuzzy Systems With Interval Time-Varying Delay, IEEE Transactions on Fuzzy Systems, vol. 17, no. 4, pp.890-900 (2009).

DOI: 10.1109/tfuzz.2008.926586

Google Scholar