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1. |
Record Nr. |
UNISA996466586803316 |
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Autore |
Tiba Dan <1953-> |
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Titolo |
Optimal control of nonsmooth distributed parameter systems / / Dan Tiba |
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Pubbl/distr/stampa |
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Berlin : , : Springer, , [1990] |
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©1990 |
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ISBN |
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Edizione |
[1st ed. 1990.] |
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Descrizione fisica |
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1 online resource (VIII, 160 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1459 |
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Disciplina |
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Soggetti |
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Control theory - Data processing |
Mathematical optimization - Computer programs |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Elements of nonlinear analysis -- Semilinear equations -- Variational inequalities -- Free boundary problems. |
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Sommario/riassunto |
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The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics. |
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2. |
Record Nr. |
UNINA9910958876503321 |
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Autore |
Kirby Jeremy |
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Titolo |
Aristotle's metaphysics : form, matter, and identity / Jeremy Kirby |
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Pubbl/distr/stampa |
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London ; New York, : Continuum, 2008 |
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ISBN |
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9781847062466 |
9786612874611 |
9781472597892 |
1472597893 |
9781282874619 |
1282874616 |
9781441144546 |
1441144544 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (172 p.) |
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Collana |
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Continuum studies in ancient philosophy |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (pages [139]-155) and index |
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Nota di contenuto |
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Introduction -- i. The Metaphysics of Aristotle -- ii. Two Challenges to Change -- iii. Matter, Form, and Paradox -- 1. Matters of Individuation -- i. Matters of Change -- ii. Matters of Difference -- iii. Identity, Diversity, and Unity -- iv. Aristotle and the Absolutist versus Relativist Controversy -- v. The Bare Materials -- vi. Prime Matter, Somatic Matter, and Individuation -- vii. The Varieties of Matter -- viii. Two Old Arguments against Migration -- ix. A Possible Objection -- x. Conclusion -- 2. Resurrection and Entrapment -- i. A Putative Response to the Puzzle of Simple Composition ii. Anastasis and Anachronism -- iii. Scientific and Dialectical Contexts -- iv. Possibility and Inevitability -- v. Eternal Recurrence Limited -- vi. Eternality and Essentialism -- vii. Resurrection, Migration, and Gappy Existences -- viii. Resurrection and the Problem of Shared Identity -- ix. Aristotle's Rejection of Migration -- x. Conclusion -- 4. Aristotle on Composition and the Puzzle of Unity -- i. Composition -- ii. The Puzzle of Unity -- iii. The Popular Strategy -- iv. Eliminativism -- v. The Identity Thesis -- vi. Constituency as Adjectival Being -- vii. Toward a Relational Unity -- |
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viii. Teleological Dependence as the Adhesive for Unity -- ix. Conclusion -- 5. Particularities and the Puzzle of Composition -- i. Haecceities -- ii. The Problem of Universals -- iii. The Zeta Problem -- iv. No Substance is a Universal -- v. Conclusion -- 5. Conclusion -- i. The Puzzle of Simple Composition Revisited -- ii. Alternative Proposals for Resolving the Puzzle of Simple Composition -- iii. The Puzzle of Transplantation -- Postscript -- Bibliography -- |
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Sommario/riassunto |
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Aristotle maintains that biological organisms are compounds of matter and form and that compounds that have the same form are individuated by their matter. According to Aristotle, an object that undergoes change is an object that undergoes a change in form, i.e. form is imposed upon something material in nature. Aristotle therefore identifies organisms according to their matter and essential forms, forms that are arguably essential to an object's existence. Jeremy Kirby addresses a difficulty in Aristotle's metaphysics, namely the possibility that two organisms of the same species might share the same matter. If they share the same form, as Aristotle seems to suggest, then they seem to share that which they cannot, their identity. By taking into account Aristotle's views on the soul, its relation to living matter, and his rejection of the possibility of resurrection, Kirby reconstructs an answer to this problem and shows how Aristotle relies on some of the central themes in his system in order to resist this unwelcome result that his metaphysics might suggest. |
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