Deterministic observation theory and applications / / Jean-Paul Gauthier, Ivan Kupka [[electronic resource]]

• Record Nr.: UNINA9910779924903321
• Autore: Gauthier Jean-Paul
• Pubbl/distr/stampa: Cambridge : , : Cambridge University Press, , 2001
• ISBN: 1-107-12389-5; 0-521-18386-3; 0-511-17475-6; 0-511-15477-1; 1-280-43347-7; 0-511-54664-5; 9786610433476; 0-511-30238-X; 0-511-04405-4
• Descrizione fisica: 1 online resource (x, 226 pages) : digital, PDF file(s)
• Disciplina: 003
• Soggetti: Observers (Control theory); Missing observations (Statistics)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references (p. 217-220) and index.
• Nota di contenuto: Systems under Consideration -- What Is Observability? -- The New Observability Theory Versus the Old Ones -- Observability and Observers -- Observability Concepts -- Infinitesimal and Uniform Infinitesimal Observability -- The Canonical Flag of Distributions -- The Phase-Variable Representation -- Differential Observability and Strong Differential Observability -- The Trivial Foliation -- Appendix: Weak Controllability -- The Case d[subscript y] [less than or equal] d[subscript u] -- Relation Between Observability and Infinitesimal Observability -- Normal Form for a Uniform Canonical Flag -- Characterization of Uniform Infinitesimal Observability -- Complements -- Proof of Theorem 3.2 -- The Case d[subscript y]] d[subscript u] -- Definitions and Notations -- Statement of Our Differential Observability Results -- Proof of the Observability Theorems -- Equivalence between ; Observability and Observability for Smooth Inputs -- The Approximation Theorem -- Complements -- Singular State-Output Mappings -- Assumptions and Definitions -- The Ascending Chain Property -- The Key Lemma -- The ACP(N) in the Controlled Case -- Globalization -- The Controllable Case -- Observers: The High-Gain Construction -- Definition of Observer Systems and Comments -- The High-Gain Construction -- Dynamic Output Stabilization and Applications -- Dynamic Output Stabilization -- The Case of a Uniform Canonical Flag -- The General Case of a Phase-Variable Representation -- Complements -- Applications -- Binary Distillation Columns -- Polymerization Reactors.
• Sommario/riassunto: This 2001 book presents a general theory as well as a constructive methodology to solve 'observation problems', that is, reconstructing the full information about a dynamical process on the basis of partial observed data. A general methodology to control processes on the basis of the observations is also developed. Illustrative but also practical applications in the chemical and petroleum industries are shown. This book is intended for use by scientists in the areas of automatic control, mathematics, chemical engineering and physics.

Elementary Convexity with Optimization / / by Vivek S. Borkar, K. S. Mallikarjuna Rao

• Record Nr.: UNINA9910734865303321
• Autore: Borkar Vivek S.
• Pubbl/distr/stampa: Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023
• ISBN: 981-9916-52-6
• Edizione: [1st ed. 2023.]
• Descrizione fisica: 1 online resource (148 pages)
• Collana: Texts and Readings in Mathematics, , 2366-8725 ; ; 83
• Disciplina: 929.605
• Soggetti: Mathematical optimization; Optimization
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Continuity and existence of optima -- Differentiability and local optimality -- Convex sets -- Convex functions -- Convex optimization -- Optimization algorithms: an overview -- Epilogue.
• Sommario/riassunto: This book develops the concepts of fundamental convex analysis and optimization by using advanced calculus and real analysis. Brief accounts of advanced calculus and real analysis are included within the book. The emphasis is on building a geometric intuition for the subject, which is aided further by supporting figures. Two distinguishing features of this book are the use of elementary alternative proofs of many results and an eclectic collection of useful concepts from optimization and convexity often needed by researchers in optimization, game theory, control theory, and mathematical economics. A full chapter on optimization algorithms gives an overview of the field, touching upon many current themes. The book is useful to advanced undergraduate and graduate students as well as researchers in the fields mentioned above and in various engineering disciplines.