The identification of temperature-dependent heat transfer coefficients in heat conduction equations by boundary control is considered.Based on the optimal control theory,the general heat conduction equation parameter inversion problem is transformed into a variational problem,and then the existence and necessary conditions of the minimum value are discussed.Finally,by using the energy norm estimation method,the uniqueness and stability of the minimum value are proved under the assumption that the terminal time is small.
heat conduction equationinverse problemnonlinear heat transfer lawnonlinear boundaryoptimal control
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