Identification by Model Reference Adaptive Systems

In this note, we present an introduction to the so-called model reference adaptive system method which can be used to identify a spatially varying parameter in an evolution equation. The inherent mathematical difficulties are briefly discussed and relevant results are given.

[1]  K. Kunisch,et al.  The augmented lagrangian method for parameter estimation in elliptic systems , 1990 .

[2]  Karl Kunisch,et al.  Estimation Techniques for Distributed Parameter Systems , 1989 .

[3]  P. Lion Rapid identification of linear and nonlinear systems. , 1967 .

[4]  K. Narendra,et al.  Persistent excitation in adaptive systems , 1987 .

[5]  D. Janecki,et al.  Persistency of excitation for continuous-time systems - Time-domain approach , 1987 .

[6]  J. Baumeister Stable solution of inverse problems , 1987 .

[7]  A. P. Morgan On the Construction of Nonautonomous Stable Systems with Applications to Adaptive Identification and Control , 1979 .

[8]  Robert V. Kohn,et al.  Numerical implementation of a variational method for electrical impedance tomography , 1990 .

[9]  Hiroki Tanabe,et al.  Equations of evolution , 1979 .

[10]  G. Alessandrini An identification problem for an elliptic equation in two variables , 1986 .

[11]  G. Kreisselmeier Adaptive observers with exponential rate of convergence , 1977 .

[12]  Identifiability and stability of a two-parameter estimation problem 1 , 1991 .

[13]  Jan Willem Polderman Adaptive control and identification: conflict or conflux? , 1987 .

[14]  Giovanni Alessandrini,et al.  Singular solutions of elliptic equations and the determination of conductivity by boundary measurements , 1990 .

[15]  Johann Baumeister,et al.  Asymptotic embedding methods for parameter estimation , 1987, 26th IEEE Conference on Decision and Control.

[16]  Brian D. O. Anderson,et al.  Stability of adaptive systems: passivity and averaging analysis , 1986 .

[17]  R. Temam Infinite Dimensional Dynamical Systems in Mechanics and Physics Springer Verlag , 1993 .

[18]  S. Nakagiri,et al.  Identifiability of Spatially-Varying and Constant Parameters in Distributed Systems of Parabolic Type , 1977 .

[19]  Alessandra Lunardi,et al.  Abstract quasilinear parabolic equations , 1984 .

[20]  K. Kunisch,et al.  Output least squares stability in elliptic systems , 1989 .

[21]  G. Chavent Local stability of the output least square parameter estimation technique , 1981 .

[22]  A stability result for distributed parameter identification in bilinear systems , 1988 .