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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Shaikhet, Leonid (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Temas:
Control engineering.
Difference equations.
Functional equations.
Mathematical optimization.
Calculus of variations.
Biomathematics.
Probabilities.
Multibody systems.
Vibration.
Mechanics, Applied.
Control and Systems Theory.
Difference and Functional Equations.
Calculus of Variations and Optimization.
Mathematical and Computational Biology.
Probability Theory.
Multibody Systems and Mechanical Vibrations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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