Volume 9 Number 2
April 2012
Article Contents
Xiao-Wu Mu and Yang Gao. The Analysis of Global Input-to-state Stability for Piecewise Affine Systems with Time-delay. International Journal of Automation and Computing, vol. 9, no. 2, pp. 211-214, 2012. doi: 10.1007/s11633-012-0635-3
Cite as: Xiao-Wu Mu and Yang Gao. The Analysis of Global Input-to-state Stability for Piecewise Affine Systems with Time-delay. International Journal of Automation and Computing, vol. 9, no. 2, pp. 211-214, 2012. doi: 10.1007/s11633-012-0635-3

The Analysis of Global Input-to-state Stability for Piecewise Affine Systems with Time-delay

  • Received: 2010-08-15
Fund Project:

This work was supported by National Natural Science Foundation of China (No. 60874006) and Natural Science Foundation of Hei-longjiang Province for Youth (No. QC2009C99).

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    沈阳化工大学材料科学与工程学院 沈阳 110142

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The Analysis of Global Input-to-state Stability for Piecewise Affine Systems with Time-delay

Fund Project:

This work was supported by National Natural Science Foundation of China (No. 60874006) and Natural Science Foundation of Hei-longjiang Province for Youth (No. QC2009C99).

Abstract: In this paper, global input-to-state stability (ISS) for discrete-time piecewise affine systems with time-delay are considered. Piecewise quadratic ISS-Lyapunov functions are adopted. Both Lyapunov-Razumikhin and Lyapunov-Krasovskii methods are used. The theorems of Lyapunov-Razumikhin type and Lyapunov-Krasovskii type for piecewise affine systems with time-delay are shown, respectively.

Xiao-Wu Mu and Yang Gao. The Analysis of Global Input-to-state Stability for Piecewise Affine Systems with Time-delay. International Journal of Automation and Computing, vol. 9, no. 2, pp. 211-214, 2012. doi: 10.1007/s11633-012-0635-3
Citation: Xiao-Wu Mu and Yang Gao. The Analysis of Global Input-to-state Stability for Piecewise Affine Systems with Time-delay. International Journal of Automation and Computing, vol. 9, no. 2, pp. 211-214, 2012. doi: 10.1007/s11633-012-0635-3
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