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Stability Theory for Dynamic Equations on Time Scales (Systems & Control: Foundations & Applications) - Hardcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
Review
“This text published by Birkhauser is relatively short being in a monograph form and presents three approaches for stability analysis and the solution of dynamic equations. The book is more aimed at mathematical control theorists, but it could be important in flight and spacecraft dynamics and other application areas.” (ACTC applied control technology consortium, actc-control.com, February, 2017)
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2016
- ISBN 10 331942212X
- ISBN 13 9783319422121
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages234
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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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Buch. Condition: 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. Seller Inventory # 9783319422121
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Stability Theory for Dynamic Equations on Time Scales
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Stability Theory for Dynamic Equations on Time Scales
Published by
Springer International Publishing, 2016
ISBN 10: 331942212X
ISBN 13: 9783319422121
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Buch. Condition: 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. Seller Inventory # 9783319422121
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