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The obtained discontinuous control laws guarantee convergence of the closed-loop system with exponential rates.
A multi-degree-of-freedom (MDOF) system and a continuum system with exponential damping are considered as the illustrative problems.
Li et al. [3] study the dynamic behaviors of a discrete system with exponential terms, two control parameters are involved in this system.
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Delay-dependent robust ({H_{infty}}) filter for T-S fuzzy time-delay systems with exponential stability was proposed in [3].
It would be of great interest to develop DNA-based logic systems with exponential amplification for the output signal.
This paper deals with the problem of delay-dependent robust H ∞ filter for T-S fuzzy time-delay systems with exponential stability.
But at present, the problem of delay-dependent robust H ∞ filter for T-S fuzzy time-delay systems with exponential stability has rarely been reported.
For T-S fuzzy time-delay systems with exponential stability, this paper discusses the design methods of delay-dependent robust H ∞ filter.
The model is described by a continuous time four-dimensional autonomous system with an exponential nonlinearity.
A linear feedback scheme is designed based on the Lyapunov theory to stabilize this chaotic system with global exponential convergence.
Finally, the dynamic responses of MDOF structure system with double exponential model dampers and SDOF structure system with Gaussian model damper are computed using the proposed explicit method.
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