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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank

Engineering mathematics. --- Nonlinear theories. --- Mathématiques de l'ingénieur --- Théories non linéaires --- Engineering mathematics --- Nonlinear theories --- 517.93 --- 519.85 --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Engineering --- Engineering analysis --- Special differential equations. Systems of analytic mechanics, automatic control, operators. Dynamic systems --- Mathematical programming --- Mathematics --- 519.85 Mathematical programming --- 517.93 Special differential equations. Systems of analytic mechanics, automatic control, operators. Dynamic systems --- Mathématiques de l'ingénieur --- Théories non linéaires