LEADER 04192nam 2200553 a 450 001 9910975258703321 005 20200520144314.0 010 $a9786613100375 010 $a9781283100373 010 $a1283100371 010 $a9780748628476 010 $a0748628479 024 7 $a10.1515/9780748628476 035 $a(CKB)2560000000072702 035 $a(OCoLC)844054715 035 $a(CaPaEBR)ebrary10466295 035 $a(MiAaPQ)EBC685050 035 $a(DE-B1597)616456 035 $a(DE-B1597)9780748628476 035 $a(Perlego)1708770 035 $a(EXLCZ)992560000000072702 100 $a20110405d2006 uy 0 101 0 $aeng 135 $aur||u---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDomination and lordship $eScotland, 1070-1230 /$fRichard D. Oram 210 $aEdinburgh $cEdinburgh University Press$d2006 215 $a1 online resource (449 p.) 225 1 $aThe new Edinburgh history of Scotland ;$v3 311 08$a9780748614974 311 08$a0748614974 320 $aIncludes bibliographical references and index. 327 $tFrontmatter --$tContents --$tTables, Maps and Figures --$tAbbreviations --$tGeneral Editor?s Preface --$tAcknowledgements and Dedication --$tTables 1?7 --$tIntroduction: Scotland in 1070 --$tPart One: Narratives --$tChapter 1 Out with the Old, In with the New? 1070?93 --$tChapter 2 Kings and Pretenders, 1093?1136 --$tChapter 3 Building the Scoto- Northumbrian Realm, 1136?57 --$tChapter 4 Under Angevin Supremacy, 1157?89 --$tChapter 5 Settling the Succession, 1189?1230 --$tPart Two: Processes --$tChapter 6 Power --$tChapter 7 Reworking Old Patterns: Rural Change, c. 1070?1230 --$tChapter 8 Towns, Burghs and Burgesses --$tChapter 9 Nobles --$tChapter 10 The Making of the Ecclesia Scoticana --$tConclusion --$tTable of Events --$tGuide to Further Reading --$tBibliography --$tIndex 330 $aThis volume centres upon the era conventionally labelled the 'Making of the kingdom', or the 'Anglo-Norman' era in Scottish history. It seeks a balance between traditional historiographical concentration on the 'feudalisation' of Scottish society as part of the wholesale importation of alien cultural traditions by a 'modernising' monarchy and more recent emphasis on the continuing vitality and centrality of Gaelic culture and traditions within the twelfth- and early thirteenth-century kingdom.Part I explores the transition from the Gaelic kingship of Alba into the hybridised medieval state and traces Scotland's role as both dominated and dominator. It examines the redefinition of relationships with England, Gaelic magnates within Scotland's traditional territorial heartland and with autonomous/independent mainland and insular powers. These interrelationships form the central theme of an exploration of the struggle for political domination of the northern mainland of Britain and the adjacent islands, the mechanisms through which that domination was projected and expressed, and the manner of its expression.Part II is a thematic exploration of central aspects of the society and culture of late eleventh- to early thirteenth-century Scotland which gave character and substance to the emerging kingdom. It considers the evolutionary growth of Scottish economic structures, changes in the management of land-based resources, and the manner in which secular power and authority were acquired and exercised. These themes are developed in discussions of the emergence of urban communities and in the creation of a new noble class in the twelfth century. Religion is examined both in terms of the development of the Church as an institution and through the religious experience of the lay population. 410 0$aNew Edinburgh history of Scotland ;$vv. 3. 606 $aRoyal houses$zScotland 607 $aScotland$xHistory$y1057-1603 615 0$aRoyal houses 676 $a941.102 700 $aOram$b Richard D$01809700 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910975258703321 996 $aDomination and lordship$94360633 997 $aUNINA LEADER 07561nam 22005413 450 001 9911020342803321 005 20251214173401.0 010 $a9781394297542 010 $a1394297548 035 $a(MiAaPQ)EBC31345647 035 $a(Au-PeEL)EBL31345647 035 $a(CKB)32074572900041 035 $a(Exl-AI)31345647 035 $a(CaSebORM)9781786309853 035 $a(OCoLC)1434650416 035 $a(OCoLC-P)1434650416 035 $a(Perlego)4422266 035 $a(OCoLC)1435753671 035 $a(EXLCZ)9932074572900041 100 $a20240521d2024 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSystem Theory -- a Modern Approach, Volume 1 $eLinear Ordinary and Functional Differential Equations 205 $a1st ed. 210 1$aNewark :$cJohn Wiley & Sons, Incorporated,$d2024. 210 4$d©2024. 215 $a1 online resource (315 pages) 225 0 $aMathematics and statistics series. New mathematical methods, systems and applications set ; volume 1 311 08$a9781786309853 311 08$a1786309858 327 $aCover -- Title Page -- Copyright Page -- Contents -- Preface -- List of Notations -- Chapter 1 Representation of Systems: A Historical Overview -- 1.1. Transfer functions and matrices -- 1.1.1. Transfer functions -- 1.1.2. Transfer matrices -- 1.1.3. The discrete-time case -- 1.2. State-space representation -- 1.2.1. Continuous-time state-space systems -- 1.2.2. Discrete-time state-space systems -- 1.2.3. Controllability and observability -- 1.2.4. Poles of a state-space system -- 1.2.5. Stability of linear time-invariant systems -- 1.3. "Geometric" approach -- 1.3.1. Formalism of the geometric approach -- 1.3.2. Reachable and non-observable subspaces -- 1.3.3. State-feedback controls, observers -- 1.3.4. Canonical Kalman decomposition, stabilizability and detectability -- 1.4. Polynomial matrix description -- 1.4.1. PBH test (Hautus criterion) -- 1.4.2. Rosenbrock representation -- 1.5. The behavioral approach -- 1.5.1. Controllability without control variables -- 1.5.2. Observability in the behavioral approach -- 1.6. Module of a system -- 1.6.1. Using modules in control theory -- 1.6.2. The Fliessian approach -- 1.6.3. Characterization in terms of modules of controllability and observability -- 1.7. The formalism of algebraic analysis -- 1.7.1. Nature of algebraic analysis -- 1.7.2. Oberst's contribution and its consequences -- Chapter 2 Linear Systems: Concepts and General Results -- 2.1. Control systems -- 2.1.1. The formalism of control systems -- 2.1.2. Transfer matrix: general case -- 2.1.3. State-space representation of a control system -- 2.2. Strict equivalence of Rosenbrock systems -- 2.2.1. Admissible Rosenbrock representations -- 2.2.2. Strict equivalence -- 2.3. Controllability, observability and their duality: the algebraic point of view -- 2.3.1. Algebraic controllability. 327 $a2.3.2. Algebraic controllability of state-space systems (continuous time) -- 2.3.3. Algebraic controllability of state-space systems (discrete-time) -- 2.3.4. Algebraic duality -- 2.3.5. Algebraic observability and the algebraic duality principle -- 2.4. Reachability, observability and their duality: Kalmanian point of view -- 2.4.1. Complete controllability of a state-space system (continuous time) -- 2.4.2. Complete reachability and controllability of a state-space system (discrete-time) -- 2.4.3. Observability of state-space systems (continuous-time) -- 2.4.4. Complete observability and constructibility of state-space systems (discrete-time) -- Chapter 3 Poles and Zeros of Linear Systems, Interconnectedness and Stabilization -- 3.1. Poles and zeros of continuous or discrete invariant linear systems -- 3.1.1. System poles, transmission poles and zeros -- 3.1.2. Input-output-decoupling zeros and hidden modes -- 3.1.3. Relations between poles, transmission poles and hidden modes -- 3.1.4. Invariant zeros -- 3.1.5. Dynamic interpretation of different poles and zeros -- 3.2. Poles and zeros of interconnected systems -- 3.2.1. Diagram of a control system -- 3.2.2. System interconnection -- 3.2.3. Series interconnection -- 3.2.4. Parallel interconnection -- 3.2.5. Feedback interconnection -- 3.2.6. Youla-Ku?era parametrization of stabilizing controllers -- Chapter 4 Systems with Differential Equations and Difference Equations -- 4.1. Systems governed by functional differential equations -- 4.1.1. Functional differential equation of retarded type -- 4.1.2. Functional differential equations of neutral type -- 4.1.3. Case of infinite delays -- 4.1.4. Linear functional differential equations -- 4.1.5. Stability of functional differential equations -- 4.2. Time-invariant linear systems with lumped delays -- 4.2.1. Definition and simplified framing. 327 $a4.2.2. Commensurability or incommensurability of delays -- 4.2.3. Case of commensurable delays -- 4.2.4. Homological questions -- 4.3. Time-invariant linear systems with distributed delays -- 4.3.1. Ring H: case of non-commensurable delays -- 4.3.2. Rings H and H0: case of commensurable delays -- 4.3.3. Controllability and observability of H-systems -- 4.3.4. Stability of H-systems -- 4.3.5. Poles and zeros of H-systems -- Appendix The Mathematics of the Theory of Systems -- A.1. Laplace transform -- A.1.1. Laplace transform of functions -- A.1.2. Laplace transform of distributions having at most exponential growth -- A.1.3. Laplace transform of any distributions and ultradistributions -- A.2. C0-semi-groups of operators -- A.2.1. Bounded, compact or closed operators and their resolvent -- A.2.2. Exponential of a bounded operator and its relation with there solvent -- A.2.3. Resolvent and infinitesimal generator of a C0-semi-group of operators -- A.3. Variations on the theme of injective cogenerators -- A.3.1. Introduction -- A.3.2. Review of injective cogenerators -- A.3.3. Complements on coherent rings and modules -- A.3.4. Injective cogenerators for finitely presented modules -- A.3.5. Homo-, mono-, epi- and iso-morphisms of kernels -- A.3.6. Quotient injective cogenerators -- A.4. Complements of linear algebra -- A.4.1. Presentations of a submodule and of a quotient module -- A.4.2. Polynomial matrices and modules over K[s]T -- A.4.3. Factorization of matrices over a Bézout domain -- References -- Index -- EULA. 330 $aHenri Bourlès' 'System Theory ? A Modern Approach 1: Linear Ordinary and Functional Differential Equations' provides a comprehensive exploration of system theory, focusing on mathematical methods and their applications. The book delves into key concepts such as transfer functions, state-space systems, and algebraic analysis, offering a historical overview and modern insights into system theory. It discusses the stability, observability, and control of linear systems using various mathematical approaches, including geometric and algebraic methods. Intended for researchers, students, and professionals in engineering and applied mathematics, the book aims to enhance understanding and application of system theory in complex systems.$7Generated by AI. 606 $aDifferential equations 615 0$aDifferential equations. 676 $a515/.35 700 $aBourles$b Henri$0914595 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911020342803321 996 $aSystem Theory -- a Modern Approach, Volume 1$94416359 997 $aUNINA