{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":2,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":46,"n_cols":5,"rows_kept":46,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[3,2,3,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[11,2,11,3],[15,2,15,3],[16,2,16,3],[20,2,20,3],[23,2,23,3],[23,4,23,5],[24,2,24,3],[24,4,24,5],[25,2,25,3],[25,4,25,5],[26,2,26,3],[27,2,27,3],[32,2,32,3],[33,2,33,3],[34,2,34,3],[35,2,35,3],[36,2,36,3],[38,2,38,3],[39,2,39,3],[43,2,43,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910781166403321"]
[null,null,"Titolo",null,"Advances in statistical control, algebraic systems theory, and dynamic systems characteristics [[electronic resource] ] : a tribute to Michael K. Sain / / edited by Chang-Hee Won, Cheryl B. Schrader, Anthony N. Michel"]
[null,null,"Pubbl/distr/stampa",null,"Boston, Mass., : Birkhäuser, 2008"]
[null,null,"ISBN",null,"1-282-92436-2"]
[{"$nulls":4},"9786612924361"]
[{"$nulls":4},"0-8176-4795-3"]
[null,null,"Edizione",null,"[1st ed. 2008.]"]
[null,null,"Descrizione fisica",null,"1 online resource (367 p.)"]
[null,null,"Collana",null,"Systems & control : foundations & applications"]
[null,null,"Disciplina",null,"515.642"]
[{"$nulls":4},"519.2"]
[null,null,"Soggetti",null,"Stochastic control theory"]
[{"$nulls":4},"Nonlinear control theory"]
[{"$nulls":4},"System analysis"]
[{"$nulls":4},"Differentiable dynamical systems"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Festschrift for Michael K. Sain."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"pt. 1. Statistical control -- pt. 2. Algebraic systems theory -- pt. 3. Dynamic systems characteristics -- pt. 4. Engineering education."]
[null,null,null,"Sommario/riassunto","This volume—dedicated to Michael K. Sain on the occasion of his seventieth birthday—is a collection of chapters covering recent advances in stochastic optimal control theory and algebraic systems theory. Written by experts in their respective fields, the chapters are thematically organized into four parts: * Part I focuses on statistical control theory, where the cost function is viewed as a random variable and performance is shaped through cost cumulants. In this respect, statistical control generalizes linear-quadratic-Gaussian and H-infinity control. * Part II addresses algebraic systems theory, reviewing the use of algebraic systems over semirings, modules of zeros for linear multivariable systems, and zeros in linear time-delay systems. * Part III discusses advances in dynamical systems characteristics. The chapters focus on the stability of a discontinuous dynamical system, approximate decentralized fixed modes, direct optimal adaptive control, and stability of nonlinear systems with limited information. * Part IV covers engineering education and includes a unique chapter on "]
[{"$nulls":4},"theology and engineering, one of Sain's latest research interests. The book will be a useful reference for researchers and graduate students in systems and control, algebraic systems theory, and applied mathematics. Requiring only knowledge of undergraduate-level control and systems theory, the work may be used as a supplementary textbook in a graduate course on optimal control or algebraic systems theory."]
[null,"2.","Record Nr.",null,"UNINA9910484261203321"]
[null,null,"Autore",null,"Diethelm Kai"]
[null,null,"Titolo",null,"The analysis of fractional differential equations : an application-oriented exposition using differential operators of Caputo type / / Kai Diethelm"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, : Springer, c2010"]
[null,null,"ISBN",null,"9786613569752"]
[{"$nulls":4},"9781280391835"]
[{"$nulls":4},"1280391839"]
[{"$nulls":4},"9783642145742"]
[{"$nulls":4},"3642145744"]
[null,null,"Edizione",null,"[1st ed. 2010.]"]
[null,null,"Descrizione fisica",null,"1 online resource (VIII, 247 p. 10 illus.)"]
[null,null,"Collana",null,"Lecture notes in mathematics, , 1617-9692 ; ; 2004"]
[null,null,"Disciplina",null,"515/.83"]
[null,null,"Soggetti",null,"Differential equations"]
[{"$nulls":4},"Fractional calculus"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 237-244) and index."]
[null,null,"Nota di contenuto",null,"Fundamentals of Fractional Calculus -- Riemann-Liouville Differential and Integral Operators -- Caputo’s Approach -- Mittag-Leffler Functions -- Theory of Fractional Differential Equations -- Existence and Uniqueness Results for Riemann-Liouville Fractional Differential Equations -- Single-Term Caputo Fractional Differential Equations: Basic Theory and Fundamental Results -- Single-Term Caputo Fractional Differential Equations: Advanced Results for Special Cases -- Multi-Term Caputo Fractional Differential Equations."]
[null,null,null,"Sommario/riassunto","Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on aspects with comparatively little significance in applications, and the engineering literature often lacks mathematical detail and precision. This book bridges the gap between the two communities. It concentrates on the class of fractional derivatives most important in applications, the Caputo operators, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations. The text is a "]
[{"$nulls":4},"useful tool for mathematicians and researchers from the applied sciences alike. It can also be used as a basis for teaching graduate courses on fractional differential equations."]