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Stability Theory for Dynamic Equations on Time Scales
Anatoly A. Martynyuk
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Description for Stability Theory for Dynamic Equations on Time Scales
Hardback. Series: Systems & Control: Foundations and Applications. Num Pages: 234 pages, biography. BIC Classification: GPFC; PBKJ; PBKS. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 14. Weight in Grams: 520.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2016
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
234
Condition
New
Series
Systems & Control: Foundations and Applications
Number of Pages
223
Place of Publication
Basel, Switzerland
ISBN
9783319422121
SKU
V9783319422121
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Stability Theory for Dynamic Equations on Time Scales
“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)