[PDF] Top 20 Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations
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Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations
... 1990’s, hybrid SDDEs (called also SDDEs with Markovian switching) were developed to model real-world systems since they may experience abrupt changes in their parameters and structure in addition to uncertainties ... See full document
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Exponential stability of highly nonlinear neutral pantograph stochastic differential equations
... Pantograph differential equation was used by Ock- endon and Tayler [15] to investigate how the electric current is collected by the pantograph of an electric locomotive, from where it gets the ...name. ... See full document
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Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations
... of highly nonlinear hybrid SDEs by delay feedback ...of nonlinear hybrid SDEs require the coefficients of the underlying SDEs satisfy the linear growth ...many hybrid SDE ... See full document
15
Analysis of stability for stochastic delay integro differential equations
... for stochastic delay integro-differential equations in ...mean-square stability of nu- merical solutions. In Sect. 5, we will discuss stability of nonlinear stochastic ... See full document
13
Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching
... of hybrid systems is the automatic control, with consequent emphasis being placed on the analysis of ...on hybrid systems please see [1, 4, 5, 9, 10, 11, 19, 20, 22, 23, 24, 26, 27, ... See full document
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On pth moment exponential stability of stochastic differential equations with Markovian switching and time varying delay
... time-varying delay. By using the Lyapunov function, the stochastic analysis technique and the generalized Halanay inequality, some novel sufficient conditions on pth moment exponential stability ... See full document
11
Generalised criteria on delay dependent stability of highly nonlinear hybrid stochastic systems
... the stability of delay ...the stability of differential delay equations (DDEs) while [31] contains a nice literature ...of stability of stochastic ... See full document
18
Almost sure exponential stability of stochastic differential delay equations
... unstable differential equation ˙ x(t) = αx(t), we see that it is the stochastic feedback control σx(t)dB (t) that stabilizes the unstable system ˙ x(t) = ...αx(t). Stochastic stabi- lization of ... See full document
16
On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps
... and stability of solution for SDEs under the local Lipschitz ...of stochastic differential delay equations (SDDEs) and obtain the almost sure asymptotic stability of solution to ... See full document
27
The almost sure stability of coupled system of stochastic delay differential equations on networks
... of nonlinear differential equations on networks have been applied widely, especially in the mechanical, electronic, and biological fields ...differential equations called a vertex system [, ...overall ... See full document
22
Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients
... exponential stability of solutions for highly nonlinear hybrid pantograph stochastic differential ...exponential stability of the so- ...robust stability of a ... See full document
16
Stability of highly nonlinear hybrid stochastic integro-differential delay equations
... of equations are linear or nonlinear but bounded by linear ...established delay-dependent stability criteria for the highly nonlinear SDDEs by the method of Lyapunov ...the ... See full document
27
Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients
... on stability and boundedness have received a great deal of ...robust stability of linear delay ...robust stochastic stability of a linear system. In [27], robust stability of ... See full document
17
Stability of highly nonlinear neutral stochastic differential delay equations
... neutral stochastic differential delay equations (NSDDEs) have been studied intensively for the past several ...or nonlinear but bounded by linear ...the stability of ... See full document
7
On the averaging principle for stochastic delay differential equations with jumps
... SDDEs converging to that of the standard SDDEs in the sense of pth moment. By using the Itô formula, the Taylor formula, and stochastic inequalities, we give the proof of the pth moment convergence results. It ... See full document
20
Stability of stochastic differential equations in infinite dimensions
... particular, stochastic partial differential equations with finite or infinite delays seem very important as models of biological, chemical, physical and eco- nomical ...corresponding stability ... See full document
203
On the averaging principle for stochastic delay differential equations with jumps
... differential equations. With the de- veloping of the theory of stochastic analysis, many authors began to study the averaging principle for stochastic differential equations ... See full document
19
Symmetrized solutions for nonlinear stochastic differential equations
... Solutions of nonlinear stochastic differential equations in series form.. can be put into convenient symmetrized forms which are easily calculable..[r] ... See full document
14
Convergence and stability of the exponential Euler method for semi linear stochastic delay differential equations
... Most stochastic dif- ferential equations (SDEs) are nonlinear and cannot be solved explicitly, whence numerical solutions are required in ...exponential stability in the numerical sim- ulation ... See full document
19
Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay
... differential equations have been studied for more than years since the seventeenth century after the concepts of differentiation and integration were formulated by Newton and ...differential equations, ... See full document
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