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The estimates are global in time and are proved using a variation of Morawetz multipliers.
The stability and convergence of the TSSS are proved using a matrix-based spectral analysis in the time domain.
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The stability and robustness properties of the controller are proven using a smooth and homogeneous strict Lyapunov function (LF).
The TDC algorithm design is created with a low-order dynamic model, and its superior performances are proven using a real-time control experiment.
Stability is proved using a Lyapunov approach.
The stability analysis in the paper is proved using a well-known Lyapunov stability theory.
The existence of a variational solution is proved, using a special property of the nonlinear operator.
The applicability of the method is proved using a real-time structure with an RST control algorithm.
The exponential stability of the observer is proved using a set of Lyapunov functionals and its performances are illustrated by simulation.
The complex eigenproblem for materials whose mechanical properties are dependent on frequency is solved by a fast iterative approach, whose validity is proved using a four-parameter fractional derivative model.
The proposition can be proved using a similar method as that in [25].
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