LEADER 03892nam 22005415 450 001 9910299580303321 005 20200630162451.0 010 $a3-319-72896-2 024 7 $a10.1007/978-3-319-72896-4 035 $a(CKB)4100000001794710 035 $a(DE-He213)978-3-319-72896-4 035 $a(MiAaPQ)EBC5217052 035 $a(PPN)223958301 035 $a(EXLCZ)994100000001794710 100 $a20180109d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRegional Analysis of Time-Fractional Diffusion Processes /$fby Fudong Ge, YangQuan Chen, Chunhai Kou 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XIX, 250 p. 16 illus., 14 illus. in color.) 311 $a3-319-72895-4 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aIntroduction -- Preliminary Results -- Regional Controllability -- Regional Observability -- Regional Detection of Unknown Sources -- Regional Stability -- Conclusions and Future Work. 330 $aThis monograph provides an accessible introduction to the regional analysis of fractional diffusion processes. It begins with background coverage of fractional calculus, functional analysis, distributed parameter systems and relevant basic control theory. New research problems are then defined in terms of their actuation and sensing policies within the regional analysis framework. The results presented provide insight into the control-theoretic analysis of fractional-order systems for use in real-life applications such as hard-disk drives, sleep stage identification and classification, and unmanned aerial vehicle control. The results can also be extended to complex fractional-order distributed-parameter systems and various open questions with potential for further investigation are discussed. For instance, the problem of fractional order distributed-parameter systems with mobile actuators/sensors, optimal parameter identification, optimal locations/trajectory of actuators/sensors and regional actuation/sensing configurations are of great interest. The book?s use of illustrations and consistent examples throughout helps readers to understand the significance of the proposed fractional models and methodologies and to enhance their comprehension. The applications treated in the book run the gamut from environmental science to national security. Academics and graduate students working with cyber-physical and distributed systems or interested in the the applications of fractional calculus will find this book to be an instructive source of state-of-the-art results and inspiration for further research. 606 $aAutomatic control 606 $aOperator theory 606 $aSystem theory 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 615 0$aAutomatic control. 615 0$aOperator theory. 615 0$aSystem theory. 615 14$aControl and Systems Theory. 615 24$aOperator Theory. 615 24$aSystems Theory, Control. 676 $a629.8 700 $aGe$b Fudong$4aut$4http://id.loc.gov/vocabulary/relators/aut$01063481 702 $aChen$b YangQuan$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aKou$b Chunhai$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910299580303321 996 $aRegional Analysis of Time-Fractional Diffusion Processes$92532670 997 $aUNINA