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Volume 7 Issue 1
Jan.  2020

IEEE/CAA Journal of Automatica Sinica

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Hanyong Shao, Jianrong Zhao and Dan Zhang, "Novel Stability Criteria for Sampled-Data Systems With Variable Sampling Periods," IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 257-262, Jan. 2020. doi: 10.1109/JAS.2017.7510376
Citation: Hanyong Shao, Jianrong Zhao and Dan Zhang, "Novel Stability Criteria for Sampled-Data Systems With Variable Sampling Periods," IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 257-262, Jan. 2020. doi: 10.1109/JAS.2017.7510376

Novel Stability Criteria for Sampled-Data Systems With Variable Sampling Periods

doi: 10.1109/JAS.2017.7510376
Funds:

the National Natural Science Foundation of China 61374090

More Information
  • This paper is concerned with a novel Lyapunov-like functional approach to the stability of sampled-data systems with variable sampling periods. The Lyapunov-like functional has four striking characters compared to usual ones. First, it is time-dependent. Second, it may be discontinuous. Third, not every term of it is required to be positive definite. Fourth, the Lyapunov functional includes not only the state and the sampled state but also the integral of the state. By using a recently reported inequality to estimate the derivative of this Lyapunov functional, a sampled-interval-dependent stability criterion with reduced conservatism is obtained. The stability criterion is further extended to sampled-data systems with polytopic uncertainties. Finally, three examples are given to illustrate the reduced conservatism of the stability criteria.

     

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  • Recommended by Associate Editor Guoping Liu.
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    Highlights

    • A Lyapunov-like functional approach is proposed.
    • The Lyapunov-like functional is time-dependent.
    • The Lyapunov-like functional may be discontinuous.
    • The Lyapunov-like functional is not required to be positive definite.
    • The Lyapunov-like functional approach leads to less conservative stability results.

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