Lyapunov Functionals and Stability of Stochastic Difference Equations

  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 Lyapun...

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Hlavní autor: Shažkhet, Leonid Efimovich
Médium: Livre numérique
Jazyk:Anglais
Vydáno: London : Springer London 2011.
Cham : Springer Nature
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Poznámka: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Lyapunov functionals and stability of stochastic difference equations, Leonid Shaikhet, London, Springer, 2011, 1 vol. (XII- 370 p.), 978-0-85729-684-9
• Lyapunov Functionals and Stability of Stochastic Difference Equations, Texte imprimé, 9780857296863
• Lyapunov Functionals and Stability of Stochastic Difference Equations, Texte imprimé, 9781447171669
Obsah:
  • Lyapunov-type Theorems and Procedure for Lyapunov Functional Construction
  • Illustrative Example
  • Linear Equations with Stationary Coefficients
  • Linear Equations with Nonstationary Coefficients
  • Some Peculiarities of the Method
  • Systems of Linear Equations with Varying Delays
  • Nonlinear Systems
  • Volterra Equations of the Second Type
  • Difference Equations with Continuous Time
  • Difference Equations as Difference Analogues of Differential Equations.