LEADER 06191nam 2200505 450 001 9910483294703321 005 20211019065151.0 010 $a3-030-68600-0 035 $a(CKB)4100000011807295 035 $a(MiAaPQ)EBC6531793 035 $a(Au-PeEL)EBL6531793 035 $a(OCoLC)1244534993 035 $a(PPN)254722520 035 $a(EXLCZ)994100000011807295 100 $a20211019d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStabilization of infinite dimensional systems /$fEl Hassan Zerrik, Oscar Castillo 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$dİ2021 215 $a1 online resource (xii, 315 pages) $cillustrations 225 1 $aStudies in systems, decision and control ;$vVolume 355 311 $a3-030-68599-3 320 $aIncludes bibliographical references and index. 327 $aIntro -- Preface -- Contents -- Notations -- 1 Introduction -- References -- 2 Stabilization of Infinite Dimensional Linear Systems -- 2.1 Linear Semigroups -- 2.2 Stability of Infinite Dimensional Linear Systems -- 2.2.1 Definitions-Examples -- 2.2.2 Characterizations -- 2.3 Stabilization of Infinite Dimensional Linear Systems -- 2.3.1 Characterizations -- 2.3.2 Optimal Stabilization Problem -- References -- 3 Stabilization of Infinite Dimensional Semilinear Systems -- 3.1 Well Posed Systems -- 3.2 Stabilization of Infinite Dimensional Bilinear Systems -- 3.3 Stabilization of Infinite Dimensional Semilinear Systems -- 3.3.1 Existence and Uniqueness Results -- 3.3.2 Stabilization Results -- References -- 4 Regional Stabilization of Infinite Dimensional Linear Systems -- 4.1 Internal Regional Stability -- 4.1.1 Definitions -- 4.1.2 Examples -- 4.1.3 Characterization of Regional Stability -- 4.2 Internal Regional Stabilization -- 4.2.1 Definitions -- 4.2.2 Characterizations -- 4.2.3 Regional Stabilizing Control -- 4.2.4 Low Cost Regional Stabilization Problem -- 4.3 Numerical Examples -- 4.3.1 One Dimensional Case -- 4.3.2 Two Dimensional Case -- 4.4 Regional Boundary Stabilization -- 4.5 Optimal Control for Regional Boundary Stabilization -- 4.5.1 Direct Approach -- 4.5.2 Internal Approach -- References -- 5 Regional Stabilization of Infinite Dimensional Bilinear Systems -- 5.1 Regional Stabilization -- 5.1.1 Regional Exponential Stabilization -- 5.1.2 Regional Weak Stabilization -- 5.1.3 Regional Strong Stabilization -- 5.2 Regional Stabilization Problem -- 5.2.1 Case of Isometries Semigroup -- 5.2.2 Case of Contractions Semigroup -- 5.3 Simulation Results -- References -- 6 Regional Stabilization of Infinite Dimensional Semilinear Systems -- 6.1 Regional Stabilization -- 6.1.1 Regional Exponential Stabilization. 327 $a6.1.2 Regional Strong Stabilization -- 6.1.3 Regional Weak Stabilization -- 6.2 Regional Stabilization Problem -- 6.3 Simulation Results -- References -- 7 Output Stabilization of Infinite Dimensional Semilinear Systems -- 7.1 Output Stabilization of Semilinear Systems -- 7.1.1 Output Exponential Stabilization -- 7.1.2 Output Strong Stabilization -- 7.1.3 Output Weak Stabilization -- 7.2 Output Stabilization of Bilinear Systems -- 7.2.1 Output Exponential Stabilization -- 7.2.2 Output Strong Stabilization -- 7.2.3 Output Weak Stabilization -- 7.2.4 Examples -- 7.3 Simulations -- References -- 8 Stabilization of Infinite Dimensional Second Order Semilinear Systems -- 8.1 Stabilization of Bilinear Systems -- 8.1.1 Strong Stabilization -- 8.1.2 Exponential Stabilization -- 8.2 Stabilization of Semilinear Systems -- 8.2.1 Strong Stabilization -- 8.2.2 Exponential Stabilization -- 8.3 Regional Stabilization of Second Order Semilinear Systems -- 8.3.1 Regional Stabilization of Bilinear Systems -- 8.3.2 Regional Stabilization of Semilinear Systems -- 8.4 Simulations Results -- References -- 9 Gradient Stabilization of Infinite Dimensional Linear Systems -- 9.1 Gradient Stability-Definitions-Examples -- 9.2 Characterizations of Gradient Stability -- 9.3 Gradient Stabilization for Infinite Dimensional System -- 9.3.1 State Space Decomposition -- 9.3.2 Riccati Method -- 9.4 Gradient Stabilization Control Problem -- 9.5 Numerical Algorithm and Simulations -- References -- 10 Regional Gradient Stabilization of Infinite Dimensional Linear Systems -- 10.1 Regional Gradient Stability -- 10.1.1 Definitions -- 10.1.2 Characterizations -- 10.2 Gradient Stabilization -- 10.2.1 Stabilizing Control -- 10.2.2 State Space Decomposition -- 10.2.3 Lower Cost Gradient Stabilization Problem -- 10.2.4 Numerical Approach and Simulations -- References. 327 $a11 Gradient Stabilization of Infinite Dimensional Bilinear Systems -- 11.1 Gradient Stabilization of Bilinear Systems -- 11.1.1 Gradient Exponential Stabilization -- 11.1.2 Gradient Strong Stabilization -- 11.1.3 Gradient Weak Stabilization -- 11.2 Regional Gradient Stabilization of Bilinear Systems -- 11.2.1 Regional Stabilizing Control -- 11.2.2 State Space Decomposition -- 11.2.3 Problem of Regional Gradient Stabilization -- 11.3 Numerical Approach and Simulations -- 11.3.1 Regional Gradient Stabilization Case -- 11.3.2 Gradient Stabilization Case -- References -- 12 Regional Gradient Stabilization of Infinite Dimensional Semilinear Systems -- 12.1 Controls for Regional Gradient Stabilization -- 12.1.1 Regional Gradient Strong Stabilization -- 12.1.2 Regional Gradient Weak Stabilization -- 12.2 Regional Gradient Stabilization Problem -- 12.3 Simulation Results -- References -- 13 Conclusion and Perspectives -- Appendix References -- -- Index. 410 0$aStudies in systems, decision and control ;$vVolume 355. 606 $aComputational intelligence 606 $aAutomatic control 615 0$aComputational intelligence. 615 0$aAutomatic control. 676 $a006.3 700 $aZerrik$b El Hassan$01226753 702 $aCastillo$b Oscar$f1959- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483294703321 996 $aStabilization of infinite dimensional systems$92848469 997 $aUNINA