References
- G. Stolz , Jr., Numerical Solutions to an Inverse Problem of Heat Conduction for Simple Shapes , ASME J. Heat Transfer , vol. 82 , pp. 20 – 26 , 1960 .
- A. N. Tikhonov , V. Y. Arsenin , Solutions of Ill–Posed Problems , V. H. Winston , Washington , DC , 1977 .
- K. Miller , Least Squares Methods for Ill–Posed Problems with a Prescribed Bound , SIAM J. Math. Anal. , vol. 1 , no. 1 , pp. 52 – 74 , 1970 .
- E. Hoerl and R. W. Kennard , Ridge Regression Biased Estimation for Nonorthogonal Problems , Technometrics , vol. 12 , pp. 55 – 82 , 1970 . 358
- D. A. Murio , On the Characterization of the Solution of the Inverse Heat Conduction Problem , AIAA Paper 84–0491 , 1984 .
- O. M. Alifanov and V. V. Millhailov , Solution of the Nonlinear Inverse Thermal Conducting Problem by the Iteration Method , J. Eng. Phys. , vol. 35 , no. 6 , pp. 1501 – 1506 , 1978 .
- O. M. Alifanov and E. A. Artyukhin , Regularized Numerical Solution of Nonlinear Inverse Heat Conduction Problem , J. Eng. Phys. , vol. 29 , no. 1 , pp. 934 – 938 , 1975 .
- V. V. Mikhailov , Questions of the Convergence of Iteration Methods of Solving the Inverse Heat Conduction Problem , J. Eng. Phys. , vol. 45 , no. 5 , pp. 1263 – 1265 , 1983 .
- P. C. Tuan , The Estimation of Thermal Unknown Functions by Solving Two Dimensional Inverse Heat Conduction Problems , Ph.D. dissertation, Department of Mechanical and Aerospace Engineering , North Carolina State University , Raleigh , 1991 .
- N. V. Kerov , Solution of the Two–Dimensional Inverse Heat Conduction Problem in a Cylindrical Coordinate System , J. Eng. Phys. , vol. 45 , no. 5 , pp. 752 – 756 , 1983 .
- O. M. Alifanov , Yu. V. Egorov , Algorithms and Results of Solving the Inverse Conduction Boundary Problem in a Two–Dimensional Formulation , Translated from Inzhenerno–Fizicheskii Zhurnal , vol. 48 , no. 4 , pp. 658 – 666 , 1985 .
- D. M. Trujillo , Application of Dynamic Programming to the General Inverse Problem , Int. J. Numer, Meth. Eng. , vol. 12 , pp. 613 – 624 , 1978 .
- H. R. Busby and D. M. Trujillo , Numerical Solution to a Two Dimensional Inverse Heat Conduction Problem , Int. J. Numer. Meth. Eng. , vol. 21 , pp. 349 – 359 , 1985 .
- R. E. Kalman , A New Approach to Linear Filtering and Prediction Problems , ASME J. Basic Eng. , series 82d , pp. 35 – 45 , 1960 .
- M. S. Grewal , Application of Kalman Filtering to the Calibration and Alignment of Inertial Navigation Systems , Proc. PLANS ’86—Position Location and Navigation Symp. , Las Vegas , NV , 1986 .
- M. S. Grewal and R. S. Miyasako , Gyro Compliance Estimation in the Calibration and Alignment of Inertial Measurement Units, Proc. Eighteenth Joint Service Conf. on Data Exchange for Inertial Systems , San Diego , CA , 1986 .
- C. K. Chui and G. Chen , Kalman Filtering with Real–Time Applications , Springer–Verlag , New York , 1987 .
- H. W. Sorenson (ed.) , Kalman Filtering Theory and Application , IEEE Press , Piscataway , NJ , 1985 .
- P. S. Maybeck , Stochastic Models, Estimation, and Control , Vol. 1 , Academic Press , San Diego , CA , 1979 .
- M. S. Grewal and H. J. Payne , Identification of Parameters in a Freeway Traffic Model , IEEE Trans. Systems, Man, and Cybernetics , vol. SMC–6 , pp. 176 – 185 , 1976 .
- R. J. Fitzgerald , Divergence of the Kalman Filter , IEEE Trans. Automatic Control , vol. AC–16 , pp. 736 – 747 , 1971 .
- Y. T. Chan , A. G. C. Hu , and J. B. Plant , A Kalman Filter Based Tracking Scheme with Input Estimation , IEEE Trans. Aerospace and Electronic Systems , Vol. AES–15 , pp. 237 – 244 , 1979 .
- N. D'Souza , Numerical Solution of One–Dimensional Inverse Transient Heat Conduction by Finite Difference Method , ASME Paper 75–WA/HT–81 , 1975 .
- A. H. Jazwinski , Stochastic Processes and Filtering Theory , Academic Press , New York , 1970 .
- J. M. Mendel , Lessons in Digital Estimation Theory , Prentice-Hall , Englewood Cliffs , NJ , 1987 .
- H. H. Meng , Aircraft Maneuver Detection Using an Adaptive Kalman Filter , Master's thesis, Naval Postgraduate School , Monterey , CA , 1989 .
- B. D. O. Anderson and J. B. Moore , Optimal Filtering , Prentice-Hall , Englewood Cliffs , NJ , 1979 .
- M. Hou and S. Xian , Comments on Tracking a Maneuvering Target Using Input Estimation , IEEE Trans. Aerospace and Electronic Systems , vol. AES–25 , no. 2 , p. 280 , 1989 .
- Address correspondence to Pan-Chio Tuan, Department of System Engineering, Chung Cheng Institute of Technology, Tahsi, Taoyuan, 33509, Taiwan, Republic of China.