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 the general idea of Lyapunov functionals more accessible to a larger audience. Thus, its value will be appreciated even more by mathematicians and researchers in engineering and physics.” (Henri Schurz, Mathematical Reviews, November, 2013)
“The book presents general method of construction of Lyapunov functionals for investigating stability of stochastic difference equations. ... The book is primarily addressed to mathematicians, experts in stability theory, and professionals in control engineering.” (Zygmunt Hasiewicz, Zentralblatt MATH, Vol. 1255, 2013)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 self-contained, beginning with basic definitions and the mathematical fundamentals of Lyapunov functional construction and moving on from particular to general stability results for stochastic difference equations with constant coefficients. Results are then discussed for stochastic difference equations of linear, nonlinear, delayed, discrete and continuous types. Examples are drawn from a variety of physical systems including inverted pendulum control, study of epidemic development, Nicholson’s blowflies equation and predator–prey relationships.
Lyapunov Functionals and Stability of Stochastic Difference Equations is primarily addressed to experts in stability theory but will also be of use in the work of pure and computational mathematicians and researchers using the ideas of optimal control to study economic, mechanical and biological systems.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Versand:
EUR 45,00
Von Deutschland nach USA
Versand:
EUR 6,73
Innerhalb der USA
Anbieter: Juggernautz, East Grand Rapids, MI, USA
Hardcover. Zustand: New. Brand NEW! Orders ship same or next business day w/ free tracking. Choose Expedited shipping for fastest (2-6 business day) delivery. Satisfaction Guaranteed!. Bestandsnummer des Verkäufers Z078994
Anzahl: 1 verfügbar
Anbieter: booksXpress, Bayonne, NJ, USA
Hardcover. Zustand: new. Bestandsnummer des Verkäufers 9780857296849
Anzahl: 10 verfügbar
Anbieter: Lucky's Textbooks, Dallas, TX, USA
Zustand: New. Bestandsnummer des Verkäufers ABLIING23Mar2317530013230
Anzahl: Mehr als 20 verfügbar
Anbieter: GreatBookPrices, Columbia, MD, USA
Zustand: New. Bestandsnummer des Verkäufers 12655753-n
Anzahl: 5 verfügbar
Anbieter: Buchpark, Trebbin, Deutschland
Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 384 | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 10587528/12
Anzahl: 1 verfügbar
Anbieter: GreatBookPrices, Columbia, MD, USA
Zustand: As New. Unread book in perfect condition. Bestandsnummer des Verkäufers 12655753
Anzahl: 5 verfügbar
Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 self-contained, beginning with basic definitions and the mathematical fundamentals of Lyapunov functional construction and moving on from particular to general stability results for stochastic difference equations with constant coefficients. Results are then discussed for stochastic difference equations of linear, nonlinear, delayed, discrete and continuous types. Examples are drawn from a variety of physical systems including inverted pendulum control, study of epidemic development, Nicholson's blowflies equation and predator-prey relationships.Lyapunov Functionals and Stability of Stochastic Difference Equations is primarily addressed to experts in stability theory but will also be of use in the work of pure and computational mathematicians and researchers using the ideas of optimal control to study economic, mechanical and biological systems. 384 pp. Englisch. Bestandsnummer des Verkäufers 9780857296849
Anzahl: 2 verfügbar
Anbieter: moluna, Greven, Deutschland
Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Detailed description of Lyapunov functional construction will allow researchers to analyse stability results for hereditary systems more easilyProfuse analytical and numerical examples help to explain the methods usedDemonstrates a method t. Bestandsnummer des Verkäufers 5979387
Anzahl: Mehr als 20 verfügbar
Anbieter: GreatBookPricesUK, Castle Donington, DERBY, Vereinigtes Königreich
Zustand: New. Bestandsnummer des Verkäufers 12655753-n
Anzahl: 5 verfügbar
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 self-contained, beginning with basic definitions and the mathematical fundamentals of Lyapunov functional construction and moving on from particular to general stability results for stochastic difference equations with constant coefficients. Results are then discussed for stochastic difference equations of linear, nonlinear, delayed, discrete and continuous types. Examples are drawn from a variety of physical systems including inverted pendulum control, study of epidemic development, Nicholson's blowflies equation and predator-prey relationships.Lyapunov Functionals and Stability of Stochastic Difference Equations is primarily addressed to experts in stability theory but will also be of use in the work of pure and computational mathematicians and researchers using the ideas of optimal control to study economic, mechanical and biological systems. Bestandsnummer des Verkäufers 9780857296849
Anzahl: 1 verfügbar