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Exponential stability of non-linear hyperbolic distributed complex-valued parameter systems: The linear fuzzy operator inequality approach. (English) Zbl 1252.35072

Summary: Exponential stability of nonlinear hyperbolic distributed complex-valued parameter systems are addressed. Using a linear fuzzy operator inequality approach, which is a novel notion proposed for the first time in this work, delay-dependent sufficient conditions for the exponential stability in complex Hilbert spaces are established in terms of linear matrix inequalities (LMIs). Finally, numerical computations illustrate our result.

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35L20 Initial-boundary value problems for second-order hyperbolic equations
35L71 Second-order semilinear hyperbolic equations
35B35 Stability in context of PDEs
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References:

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