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Record Nr. |
UNINA9910299971803321 |
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Autore |
Serakos Demetrios |
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Titolo |
State space consistency and differentiability [[electronic resource] /] / by Demetrios Serakos |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
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ISBN |
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Edizione |
[1st ed. 2014.] |
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Descrizione fisica |
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1 online resource (79 p.) |
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Collana |
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SpringerBriefs in Optimization, , 2190-8354 |
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Disciplina |
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Soggetti |
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Calculus of variations |
Statistical physics |
Dynamical systems |
Functional analysis |
Mechanics |
Mechanics, Applied |
Differential equations |
Algebra |
Field theory (Physics) |
Calculus of Variations and Optimal Control; Optimization |
Complex Systems |
Functional Analysis |
Theoretical and Applied Mechanics |
Ordinary Differential Equations |
Field Theory and Polynomials |
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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. |
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Nota di contenuto |
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1. Introduction -- 2. Preliminaries -- 3. Some state space properties -- 4. State differentiability properties in input-output systems -- 5. Summary and conclusion. |
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Sommario/riassunto |
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By investigating the properties of the natural state, this book presents an analysis of input-output systems with regard to the mathematical concept of state. The state of a system condenses the effects of past inputs to the system in a useful manner. This monograph emphasizes two main properties of the natural state; the first has to do with the possibility of determining the input-output system from its natural state set and the second deals with differentiability properties involving the natural state inherited from the input-output system, including differentiability of the natural state and natural state trajectories. The results presented in this title aid in modeling physical systems since system identification from a state set holds in most models. Researchers and engineers working in electrical, aerospace, mechanical, and chemical fields along with applied mathematicians working in systems or differential equations will find this title useful due to its rigorous mathematics. . |
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