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This book describes how prior knowledge about dynamical systems and functions can be integrated in mathematical modelling. The first part comprises the transformation of the known properties into a mathematical model and the second part explains four approaches for solving the resulting constrained optimization problems. Numerous examples, tables and compilations complete the book.

identification --- Systemtheoriemathematical modelling --- Optimierung unter Nebenbedingungen --- Identifikation --- mathematische Modellbildung --- constrained optimization --- system theory --- identification --- Systemtheoriemathematical modelling --- Optimierung unter Nebenbedingungen --- Identifikation --- mathematische Modellbildung --- constrained optimization --- system theory

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Operational research. Game theory --- Linear Programming --- 681.3*G16 --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Linear programming --- Production scheduling --- Programming (Mathematics) --- Programmation mathematique --- Programmation lineaire

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Nonlinear programming --- 519.85 --- 681.3*G16 --- Mathematical programming --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 519.85 Mathematical programming

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Operational research. Game theory --- Programming (Mathematics) --- Fixed point theory --- Game theory --- 519.8 --- 330.105 --- 681.3*G16 --- Operational research --- Wiskundige economie. Wiskundige methoden in de economie --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 330.105 Wiskundige economie. Wiskundige methoden in de economie --- 519.8 Operational research

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Operational research. Game theory --- 519.2 --- 519.8 --- 681.3*F2 --- 681.3*G16 --- 681.3*G21 --- Probability. Mathematical statistics --- Operational research --- Analysis of algorithms and problem complexity--See also {681.3*B6}; {681.3*B7}; {681.3*F13} --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Combinatorics: combinatorial algorithms; counting problems; generating functions; permutations and combinations; recurrences and difference equations --- 681.3*G21 Combinatorics: combinatorial algorithms; counting problems; generating functions; permutations and combinations; recurrences and difference equations --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 681.3*F2 Analysis of algorithms and problem complexity--See also {681.3*B6}; {681.3*B7}; {681.3*F13} --- 519.8 Operational research --- 519.2 Probability. Mathematical statistics