Stability Of Functional Differential Equations (Mathematics In Science And Engineering, Vol. 180) (Mathematics In Science And En,Used

Stability Of Functional Differential Equations (Mathematics In Science And Engineering, Vol. 180) (Mathematics In Science And En,Used

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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 nonLagrange 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 lowrank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. Best operator approximation, NonLagrange interpolation, Generic KarhunenLoeve transform Generalised lowrank matrix approximation Optimal data compression Optimal nonlinear filtering

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