Robust stability of uncertain stochastic differential delay equations

X Mao, N Koroleva, A Rodkina - Systems & Control Letters, 1998 - Elsevier
In this paper we first discuss the robust stability of uncertain linear stochastic differential
delay equations. We then extend the theory to cope with the robust stability of uncertain semi …

Robustness of exponential stability of stochastic differential delay equations

X Mao - IEEE Transactions on Automatic Control, 1996 - ieeexplore.ieee.org
Regard the stochastic differential delay equation dx (t)=[(A+ A~(t))+(B+ B~(t-/spl tau/)) x (t-
/spl tau/)] dt+ g (t, x (t), x (t-/spl tau/)) dw (t) as the result of the effects of uncertainty, stochastic …

Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations

L Hu, X Mao, L Zhang - IEEE Transactions on Automatic …, 2013 - ieeexplore.ieee.org
One of the important issues in the study of hybrid stochastic differential delay equations
(SDDEs) is the automatic control, with consequent emphasis being placed on the asymptotic …

Structured robust stability and boundedness of nonlinear hybrid delay systems

W Fei, L Hu, X Mao, M Shen - SIAM Journal on Control and Optimization, 2018 - SIAM
Taking different structures in different modes into account, the paper has developed a new
theory on the structured robust stability and boundedness for nonlinear hybrid stochastic …

Exponential stability of stochastic differential delay equations

X Mao, A Shah - Stochastics: An International Journal of Probability …, 1997 - Taylor & Francis
In this paper we study both p th moment and almost sure exponential stability of the
stochastic differential delay equation. Introduce the corresponding stochastic differential …

Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients

S You, W Mao, X Mao, L Hu - Applied mathematics and computation, 2015 - Elsevier
This paper discusses exponential stability of solutions for highly nonlinear hybrid
pantograph stochastic differential equations (PSDEs). Two criteria are proposed to …

Stability conditions of constrained delay systems via positive invariance

JC Hennet, S Tarbouriech - International Journal of Robust and …, 1998 - Wiley Online Library
A delay system is represented by a linear difference equation. The system parameters and
the delays are assumed to be imperfectly known. The output vector is perturbed by an …

H∞ disturbance attenuation for state delayed systems

JB He, QG Wang, TH Lee - Systems & Control Letters, 1998 - Elsevier
In this note, the differential game and dissipation inequality are applied to the disturbance
attenuation or H∞-control for linear systems with delayed state. Firstly, a simple sufficient …

Exponential stability of nonlinear differential delay equations

X Mao - Systems & control letters, 1996 - Elsevier
The aim of this paper is to investigate the exponential stability of a nonlinear differential
delay equation dot x (t)= ƒ (t, x (t), x (t− τ)) Introduce the corresponding differential equation …

Robust stability and stabilization of a class of uncertain nonlinear systems with delays

MS Mahmoud - Mathematical Problems in Engineering, 1998 - Wiley Online Library
A class of nonlinear systems with norm‐bounded uncertainties and state‐delay is
considered. Two criteria are developed for the robust stability analysis: one is delay …