Instruments and Control
VŠB-TU Ostrava, 6.5.2003
| Annotation of paper No. 20 |
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| Title: | Euler-Lagrange Delta Difference Equation |
| Author(s): | VÍTEČEK, Antonín |
| Text: | In the paper the Euler-Lagrange delta difference equation is derived. It can be used for minimization of the objective functional in the summation form for boundary conditions where is the generally nonlinear continuously differentiable function, T – the sampling period, k – the relative discrete time, s – the vector function of the dimension m, - the forward relative difference. For from above mentioned equation the known Euler-Lagrange differential equation is obtained, which can be used for minimization of the objective functional in the integral form, for boundary conditions, The paper was supported by the grant project MSM 272300012. |