Uniform Exponential Stability and Approximation in Control of a Thermoelastic System
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Publication:4308537
DOI10.1137/S0363012991219006zbMath0815.93040MaRDI QIDQ4308537
Publication date: 11 June 1995
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Control/observation systems governed by partial differential equations (93C20) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Asymptotic stability in control theory (93D20) Approximation by polynomials (41A10) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)
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Asymptotic behavior of the eigenfrequencies of a one-dimensional linear thermoelastic system ⋮ The exponential stabilization of a heat-wave coupled system and its approximation ⋮ Uniform polynomial decay and approximation in control of a family of abstract thermoelastic models ⋮ On a local energy decay estimate of solutions to the hyperbolic type Stokes equations ⋮ Ergodicity and stability for \((b, l)\)-regularized resolvent operator families ⋮ A renorming method for thermoelastic models ⋮ Time optimal control of a thermoelastic system ⋮ Uniform stability of a family of resolvent operators in Hilbert spaces ⋮ Asymptotic analysis of a nonsimple thermoelastic rod ⋮ Approximation and uniform polynomial stability ofC0-semigroups ⋮ A renorming method for thermoelastic models ⋮ Spectral analysis and stability of thermoelastic Bresse system with second sound and boundary viscoelastic damping
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