Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1217.93150
Dzhalladova, Irada A.; Baštinec, Jarom{\'\i}r; Dibl{\'\i}k, Josef; Khusainov, Denys Y.
Estimates of exponential stability for solutions of stochastic control systems with delay. (English)
[J] Abstr. Appl. Anal. 2011, Article ID 920412, 14 p. (2011). ISSN 1085-3375; ISSN 1687-0409/e

Summary: 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.

MSC 2000:: *93D20 Asymptotic stability of control systems
93E15 Stochastic stability
34K50 Stochastic delay equations
93C10 Nonlinear control systems

Keywords: nonlinear stochastic differential-difference control system; exponential stability; Lyapunov-Krasovskii functionals

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]