SUN Fengqi. Stability Analysis of Uncertain Singularly Perturbed Filter Error Dynamic Systems With Time Delays[J]. Applied Mathematics and Mechanics, 2020, 41(8): 899-911. doi: 10.21656/1000-0887.400368
Citation: SUN Fengqi. Stability Analysis of Uncertain Singularly Perturbed Filter Error Dynamic Systems With Time Delays[J]. Applied Mathematics and Mechanics, 2020, 41(8): 899-911. doi: 10.21656/1000-0887.400368

Stability Analysis of Uncertain Singularly Perturbed Filter Error Dynamic Systems With Time Delays

doi: 10.21656/1000-0887.400368
Funds:  The National Natural Science Foundation of China(61741318)
  • Received Date: 2019-12-09
  • Rev Recd Date: 2020-06-17
  • Publish Date: 2020-08-01
  • With the Lyapunov stability theory, the linear matrix inequality method, the time delay piecewise analysis method, the matrix analysis method and the free weight matrix method, the stability of singularly perturbed filter error dynamic systems with time-varying delays and uncertain structures was studied on the basis of the previous filter design theory. Through construction of a new Lyapunov function, with a new cross-term definition method and according to the system characteristics, a new criterion for stability of filter error dynamic systems in 2 cases of time delay dependence and time delay independence was derived. Finally, the selected numerical example illustrates the effectiveness and feasibility of the obtained results.
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