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This paper studies the vibration control problem for systems with delayed state under persistent disturbances. In order to simply the vibration control problem for system with delayed states, a free-delayed-state method is proposed to reform the original problem into an equivalent optimal regulate problem with delay-free ones. Then, an approximate optimal vibration controller is obtained from a Riccati...
The paper aims to reveal the relation between the inverse piezoelectricity of singlestranded DNA (ssDNA) film and the origin and sign of the deflection of microcantilever produced by the DNA immobilization. By using Zhang’s two-variable method for strain field of laminated beam and the linearized Poisson-Boltzmann equation for bioelectric potential of polyelectrolyte brush, an approximate model is...
We review the recent trend of using perfectly matched layers as transmission conditions in domain decomposition methods. Using Maxwell's equations as our model problem, we show how various algorithms in the literature are connected in the unifying framework of optimized Schwarz methods.
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