Optimal Input Signals for Parameter Estimation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimal Input Signals for Parameter Estimation write by Ewaryst Rafajłowicz. This book was released on 2022-03-07. Optimal Input Signals for Parameter Estimation available in PDF, EPUB and Kindle. The aim of this book is to provide methods and algorithms for the optimization of input signals so as to estimate parameters in systems described by PDE’s as accurate as possible under given constraints. The optimality conditions have their background in the optimal experiment design theory for regression functions and in simple but useful results on the dependence of eigenvalues of partial differential operators on their parameters. Examples are provided that reveal sometimes intriguing geometry of spatiotemporal input signals and responses to them. An introduction to optimal experimental design for parameter estimation of regression functions is provided. The emphasis is on functions having a tensor product (Kronecker) structure that is compatible with eigenfunctions of many partial differential operators. New optimality conditions in the time domain and computational algorithms are derived for D-optimal input signals when parameters of ordinary differential equations are estimated. They are used as building blocks for constructing D-optimal spatio-temporal inputs for systems described by linear partial differential equations of the parabolic and hyperbolic types with constant parameters. Optimality conditions for spatially distributed signals are also obtained for equations of elliptic type in those cases where their eigenfunctions do not depend on unknown constant parameters. These conditions and the resulting algorithms are interesting in their own right and, moreover, they are second building blocks for optimality of spatio-temporal signals. A discussion of the generalizability and possible applications of the results obtained is presented.
Optimal Input Signals for Parameter Estimation in Dynamic Systems-Survey and New Results
Optimal Input Signals for Parameter Estimation in Dynamic Systems-Survey and New Results - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimal Input Signals for Parameter Estimation in Dynamic Systems-Survey and New Results write by R. K. Mehra. This book was released on 1974. Optimal Input Signals for Parameter Estimation in Dynamic Systems-Survey and New Results available in PDF, EPUB and Kindle. The paper surveys the field of optimal input design for parameter estimation as it has developed over the last two decades. Many of the developments covered are only recent and have not appeared in the open literature elsewhere. After a brief introduction, the paper discusses the historical background of the subject both in the engineering and in the statistical literature. The concepts of optimality and input design are then discussed followed by a derivation of the Fisher Information Matrix for multiinput multioutput systems with process noise. The design procedures are divided into the categories of Time-Domain methods and Frequency-Domain methods with the former being more general but also more time-consuming (computationally). (Modified author abstract).
Optimal Input Signals for Parameter Estimation
Optimal Input Signals for Parameter Estimation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimal Input Signals for Parameter Estimation write by Ewaryst Rafajłowicz. This book was released on 2022-03-07. Optimal Input Signals for Parameter Estimation available in PDF, EPUB and Kindle. The aim of this book is to provide methods and algorithms for the optimization of input signals so as to estimate parameters in systems described by PDE’s as accurate as possible under given constraints. The optimality conditions have their background in the optimal experiment design theory for regression functions and in simple but useful results on the dependence of eigenvalues of partial differential operators on their parameters. Examples are provided that reveal sometimes intriguing geometry of spatiotemporal input signals and responses to them. An introduction to optimal experimental design for parameter estimation of regression functions is provided. The emphasis is on functions having a tensor product (Kronecker) structure that is compatible with eigenfunctions of many partial differential operators. New optimality conditions in the time domain and computational algorithms are derived for D-optimal input signals when parameters of ordinary differential equations are estimated. They are used as building blocks for constructing D-optimal spatio-temporal inputs for systems described by linear partial differential equations of the parabolic and hyperbolic types with constant parameters. Optimality conditions for spatially distributed signals are also obtained for equations of elliptic type in those cases where their eigenfunctions do not depend on unknown constant parameters. These conditions and the resulting algorithms are interesting in their own right and, moreover, they are second building blocks for optimality of spatio-temporal signals. A discussion of the generalizability and possible applications of the results obtained is presented.
Optimal Input Experiment Design for Parameter Estimation
Optimal Input Experiment Design for Parameter Estimation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimal Input Experiment Design for Parameter Estimation write by . This book was released on 1974. Optimal Input Experiment Design for Parameter Estimation available in PDF, EPUB and Kindle.
Optimal Input Design for Parameter Estimation Using Parametric Sensitivity Dynamics
Optimal Input Design for Parameter Estimation Using Parametric Sensitivity Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Optimal Input Design for Parameter Estimation Using Parametric Sensitivity Dynamics write by Hassan Akbari Chianeh.. This book was released on 2009. Optimal Input Design for Parameter Estimation Using Parametric Sensitivity Dynamics available in PDF, EPUB and Kindle.
