On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 327-334. doi: 10.1007/s11633-013-0728-7
引用本文: On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 327-334. doi: 10.1007/s11633-013-0728-7
On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results. International Journal of Automation and Computing, vol. 10, no. 4, pp. 327-334, 2013 doi:  10.1007/s11633-013-0728-7
Citation: On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results. International Journal of Automation and Computing, vol. 10, no. 4, pp. 327-334, 2013 doi:  10.1007/s11633-013-0728-7

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

doi: 10.1007/s11633-013-0728-7

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

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出版历程
  • 收稿日期:  2013-01-11
  • 修回日期:  2013-07-01
  • 刊出日期:  2013-08-20

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

doi: 10.1007/s11633-013-0728-7

摘要: This paper deals with the problem of delay size stability analysis of single input-delayed linear and nonlinear systems. Conventional reduction, reduction linked by sliding mode, and linear memoryless control approaches are used for simple input-delayed systems to obtain the stability conditions. Several first order examples are investigated systematically to demonstrate the capabilities and limitations of the advanced stability analysis techniques including Lyapunov-Krasovskii functionals, Newton-Leibniz formula, and a newly addressed Lagrange mean value theorem. Numerical comparative results show the usefulness and effectiveness of the advanced delay size analysis techniques proposed in this paper.

English Abstract

On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 327-334. doi: 10.1007/s11633-013-0728-7
引用本文: On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(4): 327-334. doi: 10.1007/s11633-013-0728-7
On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results. International Journal of Automation and Computing, vol. 10, no. 4, pp. 327-334, 2013 doi:  10.1007/s11633-013-0728-7
Citation: On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results. International Journal of Automation and Computing, vol. 10, no. 4, pp. 327-334, 2013 doi:  10.1007/s11633-013-0728-7
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