Volume 10 Number 4
August 2013
Article Contents
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
Cite as: 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

  • Received: 2013-01-11
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

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

Abstract: 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.

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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