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

  • 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.
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