Quasilinearization and the estimation of time lags

by Richard Ernest Bellman, H. H. Natsuyama, Robert E. Kalaba


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A numerical study of inverse problems (as observed in mathematical theories of cancer chemotherapy, in theories of control mechanisms in the heart-lung system, and in engineering and operations research) through quasilinearization. The authors show how to determine the parameters in a nonlinear differential-difference operator to obtain the best agreement (in the sense of the least-squares method) to certain given experimental data. The method hinges on reducing the differential-difference equation to a system of ordinary differential equations and using quasilinearization to solve the resulting multipoint boundary-value problem. Results of some numerical experiments are given. 15 pp.

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