Periodically Intermittent Synchronization of Stochastic Delayed Neural Networks

Jiang, Yan; Luo, Shixian

doi:10.1007/s00034-016-0377-5

Cited by 15 publications

(3 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In actual operation, since the attitude ψ and the angular velocity 𝒲 of the three axes are all measurable, state feedback U (t ) =  𝚥 x(t ), 𝚥 ∈ 1, 𝜄, can be used to design a parallel distributed compensation controller for the T-S fuzzy FS. Note from [27] that intermittent control can reduce a lot of control costs compared with continuous feedback control, and so this paper adopts the following form of intermittent control…”

Section: Problem Formulationmentioning

confidence: 99%

“…In actual operation, since the attitude

\overset{ψ}{true}

and the angular velocity

scriptW

of the three axes are all measurable, state feedback

U false(t false) = {scriptK}_{ȷ} x false(t false)

ȷ \in \bar{1, ι}

, can be used to design a parallel distributed compensation controller for the T‐S fuzzy FS. Note from [27] that intermittent control can reduce a lot of control costs compared with continuous feedback control, and so this paper adopts the following form of intermittent control

\begin{matrix} true \\ right U (t) = K_{ȷ} (t) x (t), \end{matrix}

in which

{scriptK}_{ȷ} (t) = false{\begin{matrix} {scriptK}_{ȷ}, t \in \nabla_{1} ≜ false[t_{l}, s_{l} false), \\ 0, t \in \nabla_{2} ≜ false[s_{l}, t_{l + 1} false), \end{matrix} l \in {double-struckN}_{+}

, and

K_{ȷ}

is the feedback gain matrix to be designed later. However, we have to mention that the state feedback control may be highly sensitive to the error of the controller coefficient in actual operation.…”

Section: Problem Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Reliable intermittent extended dissipative control for uncertain fuzzy flexible spacecraft systems with Bernoulli stochastic distribution

Ding

Zhu

2021

IET Control Theory & Appl

View full text Add to dashboard Cite

This paper addresses the problem of uncertain fuzzy intermittent extended dissipative control to stabilize the flexible spacecraft (FS). However, to the systems with actuator random failures, input saturation and Bernoulli stochastic distribution by utilizing a novel switching Lyapunov function method. Compared with the existing common Lyapuonv function, the proposed approach is convenient for us to exploit more information of switching interval. Especially, the condition that control length and control period must be a certain proportion in the previous works of intermittent control strategy is removed in this work, which promotes the obtained criterion to be less conservative. Numerical simulations are finally given to demonstrate the validity and superiority of the theoretical results. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

show abstract

Section: Problem Formulationmentioning

confidence: 99%

“…In actual operation, since the attitude

\overset{ψ}{true}

and the angular velocity

scriptW

of the three axes are all measurable, state feedback

U false(t false) = {scriptK}_{ȷ} x false(t false)

ȷ \in \bar{1, ι}

\begin{matrix} true \\ right U (t) = K_{ȷ} (t) x (t), \end{matrix}

in which

{scriptK}_{ȷ} (t) = false{\begin{matrix} {scriptK}_{ȷ}, t \in \nabla_{1} ≜ false[t_{l}, s_{l} false), \\ 0, t \in \nabla_{2} ≜ false[s_{l}, t_{l + 1} false), \end{matrix} l \in {double-struckN}_{+}

, and

K_{ȷ}

Section: Problem Formulationmentioning

confidence: 99%

Reliable intermittent extended dissipative control for uncertain fuzzy flexible spacecraft systems with Bernoulli stochastic distribution

Ding

Zhu

2021

IET Control Theory & Appl

View full text Add to dashboard Cite

show abstract

“…Many control strategies have been developed to regulate synchronization behavior, such as impulsive control , adaptive control , pinning control , fuzzy control , intermittent control , sampled‐data control and sliding‐mode control . Among them, intermittent control and impulsive control are discontinuous control.…”

Section: Introductionmentioning

confidence: 99%

Further Results on Quasi‐Synchronization of Delayed Chaotic Systems with Parameter Mismatches Via Intermittent Control

Jiang

Zhai

2018

Asian Journal of Control

Self Cite

View full text Add to dashboard Cite

This paper focuses on the problem of quasi-synchronization of delayed chaotic systems with parameter mismatches via aperiodically intermittent control. First, the intermittently controlled systems are modeled as switched systems with two modes. Then, piecewise switching-time-dependent Lyapunov functional/function are introduced for stability analysis of the switched systems. As a result, two novel sufficient conditions for quasi-synchronization are established under a small error bound. Based on the obtained quasi-synchronization criteria, the existence of the aperiodically intermittent controllers is presented in the form of Linear Matrix Inequalities (LMIs). Finally, chaotic neural networks and Chua's circuit are provided to verify the validity of the proposed method.

show abstract

Quasi-synchronization of Chaotic Systems with Parameter Mismatches Via Aperiodically Intermittent Control

Jiang

Zhai

2017

Lecture Notes in Electrical Engineering

View full text Add to dashboard Cite

Periodically Intermittent Synchronization of Stochastic Delayed Neural Networks

Cited by 15 publications

References 27 publications

Reliable intermittent extended dissipative control for uncertain fuzzy flexible spacecraft systems with Bernoulli stochastic distribution

Reliable intermittent extended dissipative control for uncertain fuzzy flexible spacecraft systems with Bernoulli stochastic distribution

Further Results on Quasi‐Synchronization of Delayed Chaotic Systems with Parameter Mismatches Via Intermittent Control

Quasi-synchronization of Chaotic Systems with Parameter Mismatches Via Aperiodically Intermittent Control

Contact Info

Product

Resources

About