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Lyapunov Functionals and Stability of Stochastic Difference Equations
Leonid Shaikhet
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Description for Lyapunov Functionals and Stability of Stochastic Difference Equations
Hardback. This book offers a general method of Lyapunov functional construction which lets researchers analyze the degree to which the stability properties of differential equations are preserved in their difference analogues. Includes examples from physical systems. Num Pages: 370 pages, biography. BIC Classification: PBKJ; PBKQ; PBT; TGMD4; TJFM. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 25. Weight in Grams: 736.
Hereditary systems (or systems with either delay or after-effects) are widely used to model processes in physics, mechanics, control, economics and biology. An important element in their study is their stability. Stability conditions for difference equations with delay can be obtained using a Lyapunov functional.
Lyapunov Functionals and Stability of Stochastic Difference Equations describes a general method of Lyapunov functional construction to investigate the stability of discrete- and continuous-time stochastic Volterra difference equations. The method allows the investigation of the degree to which the stability properties of differential equations are preserved in their difference analogues.
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Hereditary systems (or systems with either delay or after-effects) are widely used to model processes in physics, mechanics, control, economics and biology. An important element in their study is their stability. Stability conditions for difference equations with delay can be obtained using a Lyapunov functional.
Lyapunov Functionals and Stability of Stochastic Difference Equations describes a general method of Lyapunov functional construction to investigate the stability of discrete- and continuous-time stochastic Volterra difference equations. The method allows the investigation of the degree to which the stability properties of differential equations are preserved in their difference analogues.
The text is ... Read more
Product Details
Format
Hardback
Publication date
2011
Publisher
Springer London Ltd United Kingdom
Number of pages
370
Condition
New
Number of Pages
370
Place of Publication
England, United Kingdom
ISBN
9780857296849
SKU
V9780857296849
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Lyapunov Functionals and Stability of Stochastic Difference Equations
From the reviews: “This highly recommendable monograph is devoted to the qualitative study of stochastic difference equations with respect to boundedness and asymptotic stability. … the author cites numerous references, making the book a valuable contribution in the area of stochastic dynamical systems. … well written by a true expert in the field and achieves its goal of making ... Read more