LEADER 01116cam0-22003851i-450- 001 990007725400403321 005 20090406105113.0 035 $a000772540 035 $aFED01000772540 035 $a(Aleph)000772540FED01 035 $a000772540 100 $a20030814d1991----km-y0itay50------ba 101 0 $aita 102 $aIT 105 $ay-------001yy 200 1 $a<>contratti agrari$eex L. 3 maggio 1982, n. 203$ebreve commento con dottrina e giurisprudenza integrato con la L. 14 febbraio 1990, n. 29$fDonato Calabrese, Marco Lipari 210 $aPadova$cCedam$d1991 215 $aXVI, 359 p.$d24 cm 676 $a346 676 $a346.02 700 1$aMiani-Calabrese,$bDonato$0125257 701 1$aLipari,$bMarco$0231973 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990007725400403321 952 $a23-B-180$b2761$fDDCP 952 $aB-61$b1991 DIP.$fDDRC 952 $aVIII F 875$b13251*$fFGBC 952 $aDPR 35-122$b9521$fDEC 959 $aDDCP 959 $aDDRC 959 $aFGBC 959 $aDEC 996 $aContratti agrari$9665705 997 $aUNINA LEADER 04439nam 22005895 450 001 9910483782403321 005 20200704022711.0 010 $a3-319-91011-6 024 7 $a10.1007/978-3-319-91011-6 035 $a(CKB)4100000004831982 035 $a(DE-He213)978-3-319-91011-6 035 $a(MiAaPQ)EBC5419692 035 $a(PPN)229493769 035 $a(EXLCZ)994100000004831982 100 $a20180607d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInput-to-State Stability for PDEs /$fby Iasson Karafyllis, Miroslav Krstic 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XVI, 287 p. 1 illus. in color.) 225 1 $aCommunications and Control Engineering,$x0178-5354 311 $a3-319-91010-8 327 $aChapter 1. Preview -- Part I: ISS for First-Order Hyperbolic PDEs -- Chapter 2. Existence/Uniqueness Results for Hyperbolic PDEs -- Chapter 3. ISS in Spatial Lp Norms -- Part II. ISS for Parabolic PDEs -- Chapter 4. Existence/Uniqueness Results for Parabolic PDEs -- Chapter 5. ISS in Spatial L2 and H1 Norms -- Chapter 6. ISS in Spatial Lp Norms -- Part III. Small-Gain Analysis -- Chapter 7. Fading Memory Input-to-State Stability -- Chapter 8. PDE-ODE Loops -- Chapter 9. Hyperbolic PDE-PDE Loops -- Chapter 10. Parabolic PDE-PDE Loops -- Chapter 11. Parabolic-Hyperbolic PDE-PDE Loops -- Reference. . 330 $aThis book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes?parabolic and hyperbolic. This foundation consists of new PDE-specific tools. In addition to developing ISS theorems, equipped with gain estimates with respect to external disturbances, the authors develop small-gain stability theorems for systems involving PDEs. A variety of system combinations are considered: PDEs (of either class) with static maps; PDEs (again, of either class) with ODEs; PDEs of the same class (parabolic with parabolic and hyperbolic with hyperbolic); and feedback loops of PDEs of different classes (parabolic with hyperbolic). In addition to stability results (including ISS), the text develops existence and uniqueness theory for all systems that are considered. Many of these results answer for the first time the existence and uniqueness problems for many problems that have dominated the PDE control literature of the last two decades, including?for PDEs that include non-local terms?backstepping control designs which result in non-local boundary conditions. Input-to-State Stability for PDEs will interest applied mathematicians and control specialists researching PDEs either as graduate students or full-time academics. It also contains a large number of applications that are at the core of many scientific disciplines and so will be of importance for researchers in physics, engineering, biology, social systems and others. 410 0$aCommunications and Control Engineering,$x0178-5354 606 $aAutomatic control 606 $aDifferential equations, Partial 606 $aElectrical engineering 606 $aSystem theory 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aCommunications Engineering, Networks$3https://scigraph.springernature.com/ontologies/product-market-codes/T24035 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 615 0$aAutomatic control. 615 0$aDifferential equations, Partial. 615 0$aElectrical engineering. 615 0$aSystem theory. 615 14$aControl and Systems Theory. 615 24$aPartial Differential Equations. 615 24$aCommunications Engineering, Networks. 615 24$aSystems Theory, Control. 676 $a629.8 700 $aKarafyllis$b Iasson$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767164 702 $aKrstic$b Miroslav$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910483782403321 996 $aInput-to-State Stability for PDEs$92855553 997 $aUNINA