Guo-Chen Pang and Kan-Jian Zhang. Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions. International Journal of Automation and Computing, vol. 12, no. 6, pp. 657-663, 2015. DOI: 10.1007/s11633-015-0940-8
Citation: Guo-Chen Pang and Kan-Jian Zhang. Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions. International Journal of Automation and Computing, vol. 12, no. 6, pp. 657-663, 2015. DOI: 10.1007/s11633-015-0940-8

Stability of Time-delay System with Time-varying Uncertainties via Homogeneous Polynomial Lyapunov-Krasovskii Functions

  • This paper deals with the robust stability of time-delay system with time-varying uncertainties via homogeneous polynomial Lyapunov-Krasovskii functions (HPLKF). We give a sufficient condition to demonstrate that the system is asymptotically stable. A new class of Lyapunov-Krasovskii function is introduced, whose main feature is that the conservativeness due to uncertainties is reduced. Numerical examples illustrate the effectiveness of our method.
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