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Extensions of Linear-Quadratic Control, Optimization and Matrix Theory PDF

226 Pages·1977·1.511 MB·English
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by David H. Jacobson (Eds.)| 1977| 226 pages| 1.511| English

About Extensions of Linear-Quadratic Control, Optimization and Matrix Theory

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 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,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Detailed Information

Author:David H. Jacobson (Eds.)
Publication Year:1977
ISBN:9780123787507
Pages:226
Language:English
File Size:1.511
Format:PDF
Price:FREE
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