Name: Differential Linear Matrix Inequalities. In Sampled-Data Systems Filtering and Control
SKU: 64789675
Price: 115.10 EUR
Availability: InStock
Author: Jose C. Geromel

portada Differential Linear Matrix Inequalities. In Sampled-Data Systems Filtering and Control

Differential Linear Matrix Inequalities. In Sampled-Data Systems Filtering and Control

Type

Physical Book

Publisher

Springer International Publishing AG

Author

Jose C. Geromel

Year

2024

Pages

254

Format

Paperback

Dimensions

23.5x15.5 cm

ISBN13

9783031297564

Differential Linear Matrix Inequalities. In Sampled-Data Systems Filtering and Control

Jose C. Geromel (Author) · Springer International Publishing AG · Paperback

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Synopsis "Differential Linear Matrix Inequalities. In Sampled-Data Systems Filtering and Control"

This book is entirely devoted to sampled-data control systems analysis and design from a new point of view, which has at its core a mathematical tool named Differential Linear Matrix Inequality - DLMI, a natural generalization of Linear Matrix Inequality - LMI, that had an important and deep impact on systems and control theory almost thirty years ago. It lasts until now. It is shown that the DLMI is well adapted to deal with the important class of sampled-data control systems in both theoretical and numerical contexts. All design conditions are expressed by convex programming problems, including when robustness against parameter uncertainty is assessed and imposed through state feedback control. Special attention is given to filter, dynamic output feedback and model predictive control design, as well as nonlinear systems of Lur’e class and Markov jump linear systems. The subject is treated with mathematical rigor, at the same time, trying to keep the reading agreeable and fruitful for colleagues and students. To this respect, the book contains together with the theoretical developments, many solved illustrative examples and the formulation of some open problems that could be faced and hopefully solved by interested readers.