LEADER 03345nam 2200493 450 001 9910734846503321 005 20230927014056.0 010 $a3-031-29754-7 024 7 $a10.1007/978-3-031-29754-0 035 $a(MiAaPQ)EBC30604825 035 $a(Au-PeEL)EBL30604825 035 $a(DE-He213)978-3-031-29754-0 035 $a(PPN)272271837 035 $a(EXLCZ)9927152384500041 100 $a20230927d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDifferential Linear Matrix Inequalities $eIn Sampled-Data Systems Filtering and Control /$fJose? C. Geromel 205 $aFirst edition. 210 1$aCham, Switzerland :$cSpringer,$d[2023] 210 4$d©2023 215 $a1 online resource (259 pages) 311 08$aPrint version: Geromel, José C. Differential Linear Matrix Inequalities Cham : Springer International Publishing AG,c2023 9783031297533 320 $aIncludes bibliographical references and index. 327 $aPreliminaries -- Differential linear matrix inequalities -- Sampled-data control systems -- H2 filtering and control -- H? filtering and control -- Markov jump linear systems -- Nonlinear systems control -- Model predictive control -- Numerical experiments. 330 $aThis 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 graduate 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. Describes a new mathematical tool named differential linear matrix inequality (DLMI) and its applications; Presents and discusses a numerical determination of a solution whenever it exists; Includes coverage of control and filtering design problems involving sampled-data systems. . 606 $aControl theory 606 $aMatrix inequalities 606 $aSystem analysis 615 0$aControl theory. 615 0$aMatrix inequalities. 615 0$aSystem analysis. 676 $a515.642 700 $aGeromel$b Jose? C.$01373843 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910734846503321 996 $aDifferential Linear Matrix Inequalities$93404949 997 $aUNINA