Volume 42 Issue 7
Jul.  2021
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SUN Fengqi. Stability Analysis of Discrete Time-Delay Singularly Perturbed Uncertainty Control Systems[J]. Applied Mathematics and Mechanics, 2021, 42(7): 696-703. doi: 10.21656/1000-0887.410208
Citation: SUN Fengqi. Stability Analysis of Discrete Time-Delay Singularly Perturbed Uncertainty Control Systems[J]. Applied Mathematics and Mechanics, 2021, 42(7): 696-703. doi: 10.21656/1000-0887.410208

Stability Analysis of Discrete Time-Delay Singularly Perturbed Uncertainty Control Systems

doi: 10.21656/1000-0887.410208
Funds:

The National Natural Science Foundation of China(61741318)

  • Received Date: 2020-07-10
  • Rev Recd Date: 2020-11-02
  • The stability of discrete control systems with time delay, singular perturbation and uncertainty was studied. With a designed new Lyapunov-Krasovskii functional, based on the cross term defined technique, the linear matrix analysis method and the related lemmas, and furthermore, according to the Lyapunov stability theory, the asymptotic stability of the system in the entire interval from zero to the singularly perturbed upper bound was derived in the time-delay-dependent case. Then the sufficient stability criterion was given, which was deepened and generalized to deduce the linearized inferences, and solved with the MATLAB toolbox. The example illustrates the superiority and feasibility of the obtained method.
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