Stochastic Dynamics and Control

Sun, Jian‐Qiao

doi:10.1016/s1574-6917(06)04001-3

Cited by 74 publications

(38 citation statements)

References 105 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the control of stochastic dynamical systems, to reshape the PDFs of the output is necessary for tracking the target PDFs [Sun, 2006;Guo et al, 2008;Hong et al, 2005;Elbeyli et al, 2005], therefore online estimation of the output PDF is important and in [Guo & Wang, 2005], B-spline approximation of the output PDFs is used to design PID controller for controlling the stochastic dynamics. The PDF estimation can also be used to test the efficiency of the designed chaotic circuits with prescribed random properties given in [Chua et al, 1990].…”

Section: Introductionmentioning

confidence: 99%

Estimating Probability Density Functions and Entropies of Chua's Circuit Using B-Spline Functions

Savacı

Güngör

2012

Int. J. Bifurcation Chaos

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Estimating Probability Density Functions and Entropies of Chua's Circuit Using B-Spline Functions

Savacı

Güngör

2012

Int. J. Bifurcation Chaos

View full text Add to dashboard Cite

show abstract

“…Here, one of the main concerns is the shaping of the output probability density function (pdf) of a stochastic system (Sun (2006); Kárnỳ (1996)), this is often referred to as stochastic distribution control. There are generally two approaches to this problem, where the first directly applies the Fokker-Planck or Kolmogorov forward equation (Risken (1984); Briat and Khammash (2012)) and the second applies a tracking method to converge to a target pdf.…”

Section: Introductionmentioning

confidence: 99%

Prescribing Transient and Asymptotic Behaviour of LTI Systems with Stochastic Initial Conditions

Dresscher

Jayawardhana

2017

IFAC-PapersOnLine

View full text Add to dashboard Cite

This paper considers two different control problems for deterministic systems with stochastic initial conditions where, in addition to the usual asymptotic behavior requirement, we are interested in the transient behavior of the state distribution evolution. For the first one, we study control design such that the state trajectories enter target set at a given transient time with a prescribed minimum cumulative distribution. For the second one, we propose control design where the distribution of state variable at transient time is close to the target distribution. We illustrate the efficacy of the proposed solutions to the aforementioned control problems through numerical examples.

show abstract

“…The presence of stochastic disturbances significantly complicates the solution of control problems [22]. In nonlinear dynamic systems, even with simple regular attractors, a small noise can cause unexpected and undesired noise-induced transitions.…”

Section: Introductionmentioning

confidence: 99%

Preventing Noise-Induced Extinction in Discrete Population Models

Bashkirtseva

2017

Discrete Dynamics in Nature and Society

View full text Add to dashboard Cite

A problem of the analysis and prevention of noise-induced extinction in nonlinear population models is considered. For the solution of this problem, we suggest a general approach based on the stochastic sensitivity analysis. To prevent the noise-induced extinction, we construct feedback regulators which provide a low stochastic sensitivity and keep the system close to the safe equilibrium regime. For the demonstration of this approach, we apply our mathematical technique to the conceptual but quite representative Ricker-type models. A variant of the Ricker model with delay is studied along with the classic widely used one-dimensional system.

show abstract

Stochastic Dynamics and Control

Cited by 74 publications

References 105 publications

Estimating Probability Density Functions and Entropies of Chua's Circuit Using B-Spline Functions

Estimating Probability Density Functions and Entropies of Chua's Circuit Using B-Spline Functions

Prescribing Transient and Asymptotic Behaviour of LTI Systems with Stochastic Initial Conditions

Preventing Noise-Induced Extinction in Discrete Population Models

Contact Info

Product

Resources

About