Resilient Filtering for Delayed Markov Jump Neural Networks via Event-triggered Strategy

Xia, Weifeng; Li, Yongmin; Li, Zuxin; Du, Shuxin; Li, Bo; Chen, Wenbin

doi:10.1007/s12555-020-0678-0

Cited by 7 publications

(6 citation statements)

References 43 publications

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“…Theorem 1. For given scalars 𝜏 > 0, 𝛿 > 0 and matrices J 1 ∈ R n×n , J 2 ∈ R k×k , K i , L i , the systems (10) and (11) are stochastically stable in the absence of 𝜛(t) and meet H ∞ performance constraint (12) in the presence of 𝜛(t) if there exist matrices P i =…”

Section: Resultsmentioning

confidence: 99%

“…On the other hand, consider that 𝜛(t) ≠ 0 in (10) and (11). Under the conditions x(0) = 𝛾(0) = γ(0) = 0, the following result is obtained:…”

Section: ̇X(t) H(t X(t)) E(t) G(t E(t)) 𝜛(T)}mentioning

confidence: 99%

“…In more detail, Markovian jump systems are made up of a number of subsystems with Markov chains that accept values from a finite set. Numerous papers on Markovian jump systems have been published to date, covering topics such as stability analysis, 1,2 state estimation, 3 control designs, [4][5][6][7] filter designs, [8][9][10][11] and dissipativity, 12,13 among others. However, such systems have some limitations in system modeling, such as the fact that the sojourn time (duration between two consecutive mode transitions) of each subsystem follows an exponential distribution and the transition rates that represent the Markov chain process in the developed results are time-invariant.…”

Section: Background and Related Workmentioning

confidence: 99%

See 2 more Smart Citations

Combined H_∞ and anti‐disturbance control for semi‐Markovian jump systems via a nonlinear disturbance observer

Kaviarasan

Kwon

Park

et al. 2023

Intl J Robust & Nonlinear

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This paper investigates a combined H ∞ and anti-disturbance control problem for a class of semi-Markovian jump nonlinear systems with constant time delay, and both modeled and unmodeled disturbances. In particular, the modeled disturbance is thought to be produced by a nonlinear exogenous system and is estimated by introducing a mode-dependent nonlinear disturbance observer. The desired controller for the addressed system is then proposed, which consists of two components: (i) state feedback, which ensures the system's stochastic stability by attenuating the unmodeled disturbance; and (ii) disturbance estimate, which compensates for the modeled disturbance effect. Following that, a novel mode-dependent asymmetric Lyapunov-Krasovskii functional is used to derive the sufficient conditions for the existence of the proposed controller and disturbance observer. The developed theoretical results are supported by three numerical examples that demonstrate the utility of the proposed design method.

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Section: Resultsmentioning

confidence: 99%

“…On the other hand, consider that 𝜛(t) ≠ 0 in (10) and (11). Under the conditions x(0) = 𝛾(0) = γ(0) = 0, the following result is obtained:…”

Section: ̇X(t) H(t X(t)) E(t) G(t E(t)) 𝜛(T)}mentioning

confidence: 99%

Section: Background and Related Workmentioning

confidence: 99%

See 1 more Smart Citation

Combined H_∞ and anti‐disturbance control for semi‐Markovian jump systems via a nonlinear disturbance observer

Kaviarasan

Kwon

Park

et al. 2023

Intl J Robust & Nonlinear

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show abstract

“…It can lead to poor system performance and system instability. The control problem of time delay has attracted the attention of many researchers (Li et al, 2019b;Liu et al, 2014;Wang et al, 2015;Xia et al, 2019Xia et al, , 2020Xia et al, , 2021aZhao et al, 2016). Xia et al (2021aXia et al ( , 2021b designed an event-triggered filter for delayed discrete-time Markovian jump systems, which utilized the Lyapunov-Krasovskii function to eliminate the effect of time delay.…”

Section: Introductionmentioning

confidence: 99%

“…The control problem of time delay has attracted the attention of many researchers (Li et al, 2019b;Liu et al, 2014;Wang et al, 2015;Xia et al, 2019Xia et al, , 2020Xia et al, , 2021aZhao et al, 2016). Xia et al (2021aXia et al ( , 2021b designed an event-triggered filter for delayed discrete-time Markovian jump systems, which utilized the Lyapunov-Krasovskii function to eliminate the effect of time delay. The effect caused by input delay was transferred to an intermediate variable by employing the Pade approximation in Li et al (2019b).…”

Section: Introductionmentioning

confidence: 99%

Finite-time command-filtered backstepping control for nonlinear systems with input delay and time-varying full-state constraints

Lin

Zhou

Duan

2022

Transactions of the Institute of Measurement and Control

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This paper examines a finite-time command-filtered backstepping control proposed for a class of strict-feedback nonlinear systems with input delay and time-varying asymmetric full-state constraints. The existing control method either ignores the effect of input delay or converges asymptotically in infinite time. A command-filtered backstepping design is used to decrease computational burden. A first-order Levant differentiator is employed to replace the command filter for estimating the virtual control signals in finite time. The time-varying asymmetric barrier Lyapunov function (TVABLF) and command-filtered backstepping design are applied to alleviate the significant challenges caused by the backstepping approach and full-state constraints. A novel finite-time delay compensation mechanism is proposed to remove the impact of input delay. The closed-loop signals are proved to be practical bounded. Simulation results are provided to demonstrate the effectiveness of the proposed control scheme.

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Quantized extended dissipative synchronization for semi-Markov switching Lur’e systems with time delay under deception attacks

Zhou

Chang²,

Huang³

et al. 2023

Communications in Nonlinear Science and Numerical Simulation

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Resilient Filtering for Delayed Markov Jump Neural Networks via Event-triggered Strategy

Cited by 7 publications

References 43 publications

Combined H_∞ and anti‐disturbance control for semi‐Markovian jump systems via a nonlinear disturbance observer

Combined H_∞ and anti‐disturbance control for semi‐Markovian jump systems via a nonlinear disturbance observer

Finite-time command-filtered backstepping control for nonlinear systems with input delay and time-varying full-state constraints

Quantized extended dissipative synchronization for semi-Markov switching Lur’e systems with time delay under deception attacks

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Resilient Filtering for Delayed Markov Jump Neural Networks via Event-triggered Strategy

Cited by 7 publications

References 43 publications

Combined H∞ and anti‐disturbance control for semi‐Markovian jump systems via a nonlinear disturbance observer

Combined H∞ and anti‐disturbance control for semi‐Markovian jump systems via a nonlinear disturbance observer

Finite-time command-filtered backstepping control for nonlinear systems with input delay and time-varying full-state constraints

Quantized extended dissipative synchronization for semi-Markov switching Lur’e systems with time delay under deception attacks

Contact Info

Product

Resources

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Combined H_∞ and anti‐disturbance control for semi‐Markovian jump systems via a nonlinear disturbance observer

Combined H_∞ and anti‐disturbance control for semi‐Markovian jump systems via a nonlinear disturbance observer