LEADER 04523nam  22009255  450 
001 9910299971803321
005 20220415210715.0
010   $a3-319-14469-3
024 7 $a10.1007/978-3-319-14469-6
035   $a(CKB)3710000000332413
035   $a(EBL)1968660
035   $a(OCoLC)908090306
035   $a(SSID)ssj0001424611
035   $a(PQKBManifestationID)11934339
035   $a(PQKBTitleCode)TC0001424611
035   $a(PQKBWorkID)11369598
035   $a(PQKB)10194890
035   $a(MiAaPQ)EBC1968660
035   $a(DE-He213)978-3-319-14469-6
035   $a(PPN)183518403
035   $a(EXLCZ)993710000000332413
100   $a20150108d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aState space consistency and differentiability /$fby Demetrios Serakos
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (79 p.)
225 1 $aSpringerBriefs in Optimization,$x2190-8354
300   $aDescription based upon print version of record.
311   $a3-319-14468-5 
320   $aIncludes bibliographical references.
327   $a1. Introduction -- 2. Preliminaries -- 3. Some state space properties -- 4. State differentiability properties in input-output systems -- 5. Summary and conclusion.
330   $aBy investigating the properties of the natural state, this book presents an analysis of input-output systems with regard to the mathematical concept of state. The state of a system condenses the effects of past inputs to the system in a useful manner. This monograph emphasizes two main properties of the natural state; the first has to do with the possibility of determining the input-output system from its natural state set and the second deals with differentiability properties involving the natural state inherited from the input-output system, including differentiability of the natural state and natural state trajectories. The results presented in this title aid in modeling physical systems since system identification from a state set holds in most models. Researchers and engineers working in electrical, aerospace, mechanical, and chemical fields along with applied mathematicians working in systems or differential equations will find this title useful due to its rigorous mathematics.  .
410  0$aSpringerBriefs in Optimization,$x2190-8354
606   $aCalculus of variations
606   $aStatistical physics
606   $aDynamical systems
606   $aFunctional analysis
606   $aMechanics
606   $aMechanics, Applied
606   $aDifferential equations
606   $aAlgebra
606   $aField theory (Physics)
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aField Theory and Polynomials$3https://scigraph.springernature.com/ontologies/product-market-codes/M11051
615  0$aCalculus of variations.
615  0$aStatistical physics.
615  0$aDynamical systems.
615  0$aFunctional analysis.
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aDifferential equations.
615  0$aAlgebra.
615  0$aField theory (Physics).
615 14$aCalculus of Variations and Optimal Control; Optimization.
615 24$aComplex Systems.
615 24$aFunctional Analysis.
615 24$aTheoretical and Applied Mechanics.
615 24$aOrdinary Differential Equations.
615 24$aField Theory and Polynomials.
676   $a510
676   $a512.3
676   $a515.352
676   $a515.64
700   $aSerakos$b Demetrios$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721221
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299971803321
996   $aState space consistency and differentiability$91409932
997   $aUNINA