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WellPosedness of Abstract Structural Models. Smart material structures: modeling, estimation, and control H. Banks , R. Smith , Y. Banks hence Hilbert space hysteresis implementation infinite dimensional system input linear magnetostrictive martensite matrices method middle surface minimizing MinMax model response modes moments and forces nonlinear observation obtained operator optimal control output parameter estimation PDE-based piezoceramic patches piezoelectric Poisson ratio Riccati equation satisfies Section semigroup sensors sesquilinear form smart material solution sound pressure levels stabilizability strain stress strong form structural acoustic system summarized test functions Theorem theory thickness tion transverse unbounded undamaged beam V-elliptic values vibrations voltage weak form yields Young's modulus.

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