IET Control Theory & Applications

2019

DOI: 10.1049/iet-cta.2018.6377

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Distributed finite‐time control for spatially interconnected systems

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Cited by 2 publications

(1 citation statement)

References 33 publications

(37 reference statements)

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“…In practical applications, a vehicle platoon [7], an actuate beam [8], and a heat equation [27] can be modelled as a spatially interconnected system. In this paper, based on the spatially interconnected discrete‐time system in [5], a linear discrete time‐varying delay system is described by the following state‐space equation:

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ Σ : [\begin{matrix} 1em4pt \\ x (k + 1, s) \\ w (k, s) \\ z (k, s) \end{matrix}] & = [\begin{matrix} center center center center1em4pt \\ A_{T T} & A_{T h} & A_{T S} & B_{T} \\ A_{S T} & A_{S h} & A_{S S} & B_{S} \\ C_{T} & C_{T h} & C_{S} & D \end{matrix}] [\begin{matrix} 1em4pt \\ x (k, s) \\ x (k - h (k), s) \\ v (k, s) \\ d (k, s) \end{matrix}], \end{matrix}

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ w (k, s) = ({normalΔ}_{S, m} v (k)) (s), \end{matrix}

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Section: Problem Formulationmentioning

confidence: 99%

Exponential stability analysis and model reduction for spatially interconnected discrete‐time systems with time‐varying delay

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et al. 2020

IET Control Theory & Appl

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“…In practical applications, a vehicle platoon [7], an actuate beam [8], and a heat equation [27] can be modelled as a spatially interconnected system. In this paper, based on the spatially interconnected discrete‐time system in [5], a linear discrete time‐varying delay system is described by the following state‐space equation:

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ Σ : [\begin{matrix} 1em4pt \\ x (k + 1, s) \\ w (k, s) \\ z (k, s) \end{matrix}] & = [\begin{matrix} center center center center1em4pt \\ A_{T T} & A_{T h} & A_{T S} & B_{T} \\ A_{S T} & A_{S h} & A_{S S} & B_{S} \\ C_{T} & C_{T h} & C_{S} & D \end{matrix}] [\begin{matrix} 1em4pt \\ x (k, s) \\ x (k - h (k), s) \\ v (k, s) \\ d (k, s) \end{matrix}], \end{matrix}

\begin{matrix} right left right left right left right left right left right left0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em 2em 0.278em3pt \\ w (k, s) = ({normalΔ}_{S, m} v (k)) (s), \end{matrix}

…”

Section: Problem Formulationmentioning

confidence: 99%

Exponential stability analysis and model reduction for spatially interconnected discrete‐time systems with time‐varying delay

¹

,

²

,

³

et al. 2020

IET Control Theory & Appl

Self Cite

View full text Add to dashboard Cite

No abstract

Finite-time adaptive control based on output feedback and auxiliary variables for time-varying parameters and disturbances

Treesatayapun

2024

Journal of the Franklin Institute

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No abstract

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