[PDF] Top 20 A notion of stability in probability of stochastic nonlinear systems
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A notion of stability in probability of stochastic nonlinear systems
... In this section, where the dynamics f (t, ) and g(t, ) may be non-vanishing at the origin, we study the stability in probability of nontrivial solutions of SNS (). In the following theorem that is an ... See full document
8
Exponential input to state stability of composite stochastic systems
... The stability of deterministic control systems has been widely developed in the past few decades (see, for instance, Sontag and Wang [], Grune [], Karafyllis and Tsinias [], Ning et ...input-to-state ... See full document
10
On the local dynamics of polynomial difference equations with fading stochastic perturbations
... the stability-instability behaviour of a polynomial difference equa- tion with state-independent, asymptotically fading stochastic ...a stability region, an instability region, and a region of ... See full document
30
Stochastic Stability and Stabilization of Semi-Markov Jump Linear Systems with Uncertain Transition Rates
... switching probability uncertain- ties), that generally cause instability or, at least, de- graded performance of a ...perspectives. Stability and stabilization are the most important notions for S-MJLSs ... See full document
16
Stability of hybrid stochastic retarded systems
... asymptotic stability has not been ...exponential stability of the equilibrium of the system is not necessary and to stabilize the system exponentially fast is economically, and sometimes practically, ... See full document
8
Nonlinear MDOF System Survival Probability Determination Subject to Evolutionary Stochastic Excitation
... for nonlinear MDOF systems is ...a stochastic averaging/statistical linearization treatment of the problem, through a system dimension reduction approach is briefly ...the nonlinear MDOF ... See full document
12
Stability analysis for uncertain neutral type stochastic nonlinear systems with mixed time varying delays
... [6]. Stochastic systems governed by Itô stochastic differential equations have attracted considerable attention, this being where the noise is described by Brownian motion [7, ...to stochastic ... See full document
17
Stability of highly nonlinear neutral stochastic differential delay equations
... delay-dependent stability criteria is that most of them can only be applied to delay systems where their coefficients are either linear or nonlinear but bounded by linear functions (see, ...on ... See full document
7
Razumikhin Type Theorems on p th Moment Stability for Stochastic Switching Nonlinear Systems with Delay
... a stochastic switching delay nonlinear system is constructed to show the efficiency of the ...the systems with delay and the red describes the systems without ... See full document
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Stochastic linearization of nonlinear point dissipative systems
... Much of this material can be extended immediately to vector processes. Examples of vector processes have been explored; for instance, a Lorenz system [6, 17, 26] with a one- dimensional noise input and a two-dimensional ... See full document
23
Robustness analysis of global exponential stability of nonlinear stochastic systems with respect to neutral terms and time varying delays
... decades, nonlinear stochastic systems have been widely studied by many authors due to the fact that nonlinear stochastic systems can be applied to population ecology, steam ... See full document
14
Stability of highly nonlinear hybrid stochastic integro-differential delay equations
... highly nonlinear integro- di ff erential system is stable as long as the system time lag τ verifies condition ...concerned systems are stable, which ... See full document
27
Sufficient conditions for non stability of stochastic differential systems
... transform nonlinear stochastic differential systems to ordinary differential systems in which the Brownian motion is just a parameter of them, and then discuss the stability in different ... See full document
10
Exponential stability of highly nonlinear neutral pantograph stochastic differential equations
... tograph stochastic differential equations(PSDEs) are unbounded SDDEs which have been frequently applied in many practical areas, including biology, mechanic, engineering and ...pantograph stochastic ... See full document
12
Modeling and controlling of stochastic dynamics of complex nonlinear systems
... These results allows us to infer features of a fluctuational transition through a locally disconnected FBB that are probably generic, as follows: (i) it always occurs through a unique accessible boundary point; and (ii) ... See full document
14
Information Geometry of Nonlinear Stochastic Systems
... on probability from theoretical and practical considerations, with different metrics proposed depending on the question of interest ...to probability enables us to mathematically quantify the difference ... See full document
15
Robust Finite Time H∞ Filtering for Discrete Time Markov Jump Stochastic Systems
... asymptotic stability theory focuses on the steady-state behavior of plants over an infinite-time ...practical systems, it is only required that the system states remain within the given ...finite-time ... See full document
10
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 differential delay equations (SDDEs), we ... See full document
18
Stability criteria on delay dependent robust stability for uncertain neutral stochastic nonlinear systems with time delay
... robust stability analysis and design of a controller for uncertain neutral stochastic nonlinear systems with ...robust stability analysis of nonlinear stochastic ... See full document
19
Almost Sure Exponential Stability of Nonlinear Stochastic Delayed Systems with Markovian Switching and L´evy Noises
... of stability regarding jump diffusion systems( [11], [12], [16]–[18], [21]) or systems with L´evy noise( [4], [23]) has attracted scholars’ attention in the past few ...asymptotic stability ... See full document
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