Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay

Estimates of Exponential Stability for Solutions of Stochastic Control Systems with Delay

A nonlinear stochastic differential-difference control system with delay of neutral type is considered. Sufficient conditions for the exponential stability are derived by using Lyapunov-Krasovskii functionals of quadratic form with exponential factors. Upper bound estimates for the exponential rate...

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Veröffentlicht in:Abstract and Applied Analysis 2011-01, Vol.2011 (2011), p.3967-3980
Hauptverfasser: Dzhalladova, Irada A, Bastinec, Jaromír, Diblík, Josef, Khusainov, Denys Y
Format: Artikel
Sprache:eng
Schlagworte:
Control systems
Decay rate
Delay
Dynamical systems
Estimates
Inequality
Integral equations
Mathematical models
Mathematics
Quadratic forms
Stability
Stochasticity
Studies
Upper bounds
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Beschreibung
Zusammenfassung:A nonlinear stochastic differential-difference control system with delay of neutral type is considered. Sufficient conditions for the exponential stability are derived by using Lyapunov-Krasovskii functionals of quadratic form with exponential factors. Upper bound estimates for the exponential rate of decay are derived.
ISSN:1085-3375
1687-0409
DOI:10.1155/2011/920412