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Sinopsis
This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.
In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion.
In the book "Men of Mathematics," 1937, E.T.Bell wrote: "A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both."
Mathematical analysis on time scales accomplishes exactly this.
This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.
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De la contraportada
This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.
In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion.
In the book Men of Mathematics, 1937, E.T.Bell wrote: A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.
Mathematical analysis on time scales accomplishes exactly this.
This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Stability Theory for Dynamic Equations on Time Scales (Systems & Control: Foundations & Applications)
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Birkh�user, 2016
ISBN 10: 331942212X
ISBN 13: 9783319422121
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Stability Theory for Dynamic Equations on Time Scales (Systems & Control: Foundations & Applications)
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Stability Theory for Dynamic Equations on Time Scales
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Springer International Publishing Sep 2016, 2016
ISBN 10: 331942212X
ISBN 13: 9783319422121
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion.In the book 'Men of Mathematics,' 1937, E.T.Bell wrote: 'A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.'Mathematical analysis on time scales accomplishes exactly this.This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others. 236 pp. Englisch. Nº de ref. del artículo: 9783319422121
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Stability Theory for Dynamic Equations on Time Scales
Publicado por
Springer International Publishing, 2016
ISBN 10: 331942212X
ISBN 13: 9783319422121
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion.In the book 'Men of Mathematics,' 1937, E.T.Bell wrote: 'A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.'Mathematical analysis on time scales accomplishes exactly this.This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others. Nº de ref. del artículo: 9783319422121
Cantidad disponible: 1 disponibles
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Stability Theory for Dynamic Equations on time Scale
Publicado por
Springer International Publishing, 2016
ISBN 10: 331942212X
ISBN 13: 9783319422121
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Librería: moluna, Greven, Alemania
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book presents a systematic study of stability theory of dynamic equations on time scales and exhibits the advantage of matrix-valued of Lyapunov functionsIt treats the theory of dynamic integral inequalities in the underl. Nº de ref. del artículo: 122125856
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Stability Theory for Dynamic Equations on Time Scales
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Stability Theory for Dynamic Equations on Time Scales
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Stability Theory for Dynamic Equations on Time Scales
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Stability Theory for Dynamic Equations on Time Scales
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STABILITY THEORY FOR DYNAMIC EQUATIONS ON TIME SCALES
Publicado por
Springer (India) Private Limited, 2016
ISBN 10: 331942212X
ISBN 13: 9783319422121
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Librería: Books Puddle, New York, NY, Estados Unidos de America
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Condición: New. Nº de ref. del artículo: 26375627669
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