Wave Propagation, Observation and Control in 1 - D Flexible Multi-Structures
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Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures (Paperback) (2005)
ISBN: 9783540272397 bzw. 3540272399, vermutlich in Englisch, Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany, Taschenbuch, neu.
Language: English. Brand new Book. This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a "nite number of "exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,.).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network" This formulation is relevant both in the context of control and inverse problems. UsingtheFourierdevelopmentofsolutionsandtechniquesofNonharmonic Fourier Analysis, we give spectral conditions that guarantee the observability property to hold in any time larger than twice the total length of the network in a suitable Hilbert space that can be characterized in terms of Fourier series by means of properly chosen weights. When the network graph is a tree, we characterize these weights in terms of the eigenvalues of the corresponding elliptic problem. The resulting weighted observability inequality allows id- tifying the observable energy in Sobolev terms in some particular cases. That is the case, for instance, when the network is star-shaped and the ratios of the lengths of its strings are algebraic irrational numbers. Books.
Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures
ISBN: 9783540272397 bzw. 3540272399, vermutlich in Englisch, Springer Shop, Taschenbuch, neu.
This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a "nite number of "exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network" This formulation is relevant both in the context of control and inverse problems. UsingtheFourierdevelopmentofsolutionsandtechniquesofNonharmonic Fourier Analysis, we give spectral conditions that guarantee the observability property to hold in any time larger than twice the total length of the network in a suitable Hilbert space that can be characterized in terms of Fourier series by means of properly chosen weights. When the network graph is a tree, we characterize these weights in terms of the eigenvalues of the corresponding elliptic problem. The resulting weighted observability inequality allows id- tifying the observable energy in Sobolev terms in some particular cases. That is the case, for instance, when the network is star-shaped and the ratios of the lengths of its strings are algebraic irrational numbers. Soft cover.
Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures Renï Dïger Author
ISBN: 9783540272397 bzw. 3540272399, vermutlich in Englisch, Springer Berlin Heidelberg, Taschenbuch, neu.
This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a "nite number of "exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network" This formulation is relevant both in the context of control and inverse problems. UsingtheFourierdevelopmentofsolutionsandtechniquesofNonharmonic Fourier Analysis, we give spectral conditions that guarantee the observability property to hold in any time larger than twice the total length of the network in a suitable Hilbert space that can be characterized in terms of Fourier series by means of properly chosen weights. When the network graph is a tree, we characterize these weights in terms of the eigenvalues of the corresponding elliptic problem. The resulting weighted observability inequality allows id- tifying the observable energy in Sobolev terms in some particular cases. That is the case, for instance, when the network is star-shaped and the ratios of the lengths of its strings are algebraic irrational numbers.
Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures
ISBN: 9783540272397 bzw. 3540272399, vermutlich in Englisch, Springer, Berlin/Heidelberg, Deutschland, neu.
This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a "nite number of "exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network" This formulation is relevant both in the context of control and inverse problems. UsingtheFourierdevelopmentofsolutionsandtechniquesofNonharmonic Fourier Analysis, we give spectral conditions that guarantee the observability property to hold in any time larger than twice the total length of the network in a suitable Hilbert space that can be characterized in terms of Fourier series by means of properly chosen weights. When the network graph is a tree, we characterize these weights in terms of the eigenvalues of the corresponding elliptic problem. The resulting weighted observability inequality allows id- tifying the observable energy in Sobolev terms in some particular cases. That is the case, for instance, when the network is star-shaped and the ratios of the lengths of its strings are algebraic irrational numbers.
Wave Propagation, Observation and Control in 1 - D Flexible Multi-Structures (u. a.) Taschenbuch Mathématiques et Applications Book Englisch 2005 (2005)
ISBN: 9783540272397 bzw. 3540272399, vermutlich in Englisch, 219 Seiten, 2006. Ausgabe, Springer Berlin, Taschenbuch, neu.
Von Händler/Antiquariat, preigu, [5789586].
This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a "nite number of "exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network" This formulation is relevant both in the context of control and inverse problems. UsingtheFourierdevelopmentofsolutionsandtechniquesofNonharmonic Fourier Analysis, we give spectral conditions that guarantee the observability property to hold in any time larger than twice the total length of the network in a suitable Hilbert space that can be characterized in terms of Fourier series by means of properly chosen weights. When the network graph is a tree, we characterize these weights in terms of the eigenvalues of the corresponding elliptic problem. The resulting weighted observability inequality allows id- tifying the observable energy in Sobolev terms in some particular cases. That is the case, for instance, when the network is star-shaped and the ratios of the lengths of its strings are algebraic irrational numbers. 2005, Taschenbuch, Neuware, 365g, 2006, 219, Sofortüberweisung, PayPal, Banküberweisung.
Wave Propagation, Observation and Control in 1 - D Flexible Multi-Structures (u. a.) Taschenbuch Mathématiques et Applications Book Englisch 2005 (2005)
ISBN: 9783540272397 bzw. 3540272399, vermutlich in Englisch, 219 Seiten, 2006. Ausgabe, Springer Berlin, Taschenbuch, neu.
Von Händler/Antiquariat, Buchbär, [6122477].
This book is devoted to analyze the vibrations of simpli?ed 1? d models of multi-body structures consisting of a "nite number of "exible strings d- tributed along planar graphs. We?rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network" This formulation is relevant both in the context of control and inverse problems. UsingtheFourierdevelopmentofsolutionsandtechniquesofNonharmonic Fourier Analysis, we give spectral conditions that guarantee the observability property to hold in any time larger than twice the total length of the network in a suitable Hilbert space that can be characterized in terms of Fourier series by means of properly chosen weights. When the network graph is a tree, we characterize these weights in terms of the eigenvalues of the corresponding elliptic problem. The resulting weighted observability inequality allows id- tifying the observable energy in Sobolev terms in some particular cases. That is the case, for instance, when the network is star-shaped and the ratios of the lengths of its strings are algebraic irrational numbers. 2005, Taschenbuch, Neuware, 365g, 2006, 219, Sofortüberweisung, PayPal, Banküberweisung.
Wave Propagation, Observation and Control in 1-d Flexible Multi-Structures
ISBN: 9783540272397 bzw. 3540272399, vermutlich in Englisch, 230 Seiten, Springer Verlag GmbH, Taschenbuch, neu.
Von Händler/Antiquariat, buchversandmimpf2000, [3715720].
Neuware - This book is devoted to analyze the vibrations of simpli ed 1 d models of multi-body structures consisting of a nite number of exible strings d- tributed along planar graphs. We rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,...).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network This formulation is relevant both in the context of control and inverse problems. UsingtheFourierdevelopmentofsolutionsandtechniquesofNonharmonic Fourier Analysis, we give spectral conditions that guarantee the observability property to hold in any time larger than twice the total length of the network in a suitable Hilbert space that can be characterized in terms of Fourier series by means of properly chosen weights. When the network graph is a tree, we characterize these weights in terms of the eigenvalues of the corresponding elliptic problem. The resulting weighted observability inequality allows id- tifying the observable energy in Sobolev terms in some particular cases. That is the case, for instance, when the network is star-shaped and the ratios of the lengths of its strings are algebraic irrational numbers. Taschenbuch, Neuware, 23.5 x 15.5 x 1.4 cm, 370g, 230, PayPal, Banküberweisung.
Wave Propagation, Observation and Control in 1 - D Flexible Multi-Structures (2005)
ISBN: 9783540272397 bzw. 3540272399, vermutlich in Englisch, Springer-Verlag Gmbh Sep 2005, Taschenbuch, neu.
Neuware - This book is devoted to analyze the vibrations of simpli ed 1 d models of multi-body structures consisting of a nite number of exible strings d- tributed along planar graphs. We rstdiscussissueson existence and uniquenessof solutions that can be solved by standard methods (energy arguments, semigroup theory, separation ofvariables,transposition,.).Thenweanalyzehowsolutionspropagatealong the graph as the time evolves, addressing the problem of the observation of waves. Roughly, the question of observability can be formulated as follows: Can we obtain complete information on the vibrations by making measu- ments in one single extreme of the network This formulation is relevant both in the context of control and inverse problems. UsingtheFourierdevelopmentofsolutionsandtechniquesofNonharmonic Fourier Analysis, we give spectral conditions that guarantee the observability property to hold in any time larger than twice the total length of the network in a suitable Hilbert space that can be characterized in terms of Fourier series by means of properly chosen weights. When the network graph is a tree, we characterize these weights in terms of the eigenvalues of the corresponding elliptic problem. The resulting weighted observability inequality allows id- tifying the observable energy in Sobolev terms in some particular cases. That is the case, for instance, when the network is star-shaped and the ratios of the lengths of its strings are algebraic irrational numbers. 219 pp. Englisch.