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The Gauss-Newton Method - Nonlinear Output Relationship

3 THE GAUSS-NEWTON METHOD - NONLINEAR OUTPUT RELATIONSHIP [Pg.92]

When the output vector (measured variables) are related to the state variables (and possibly to the parameters) through a nonlinear relationship of the form y(t) = h(x(t),k), we need to make some additional minor modifications. The sensitivity of the output vector to the parameters can be obtained by performing the implicit differentiation to yield  [Pg.92]

If the nonlinear output relationship is independent of the parameters, i.e.. it is of the form [Pg.92]

In other words, the observation matrix C from the case of a linear output relationship is substituted with the Jacobean matrix (dhT/dx)T in setting up matrix A and vector b. [Pg.93]


Implementation Guidelines for ODE Models The Gauss-Newton Method — Nonlinear Output Relationship The Gauss-Newton Method - Systems with Unknown Initial Conditions Examples... [Pg.15]




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