Couple-group consensus for heterogeneous MASs under switched topologies in cooperative-competitive systems: A hybrid pinning and delta operator skills

Pu, Xiaorong; Li, Ren; Liu, Yi; Pu, Rui

doi:10.1016/j.neucom.2020.11.013

Cited by 15 publications

(22 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this section, the couple‐group consensus of HFMASs () with switching topology will be investigated. In References 13 and 35, the consensus problem of MASs with switching topology can be transformed into identifying the stability of a kind of switching system. For the sake of simplicity, we only discuss the upper bound of time‐varying delay

h (t)

.…”

Section: Resultsmentioning

confidence: 99%

“…

\tilde{D} ζ (t) = \hat{B} ζ (t - \overline{τ}) + Ĉ ζ (t) .

According to shift operator approach, we can obtain

ζ (t_{k} + 1) = B_{z} ζ (t_{k} - \overline{τ}) + C_{z} ζ (t_{k}),

where

C_{z} = e^{Ĉ h}

B_{z} = \int_{0}^{h} e^{\hat{B} (h - s)} \hat{B} d s

and

h

is the sampling period. According to theorem 1 in Reference 35, by doing delta operator to system (), the error differential system () can be transformed into the following delta system ().

δ ζ (t) = \frac{ζ (t_{k} - \overline{τ}) + ζ (t_{k})}{h} = B_{σ} ζ (t - \overline{τ}) + C ζ (t),

where

C = C

…”

Section: Resultsmentioning

confidence: 99%

“…Pinning control, as a very effective control method in reducing the control cost, has been widely used by many scholars. [31][32][33][34][35][36][37] In Reference 33, by using Lyapunov function, pinning and self-adaptive control, group consensus of a kind of HMASs has been investigated. In Reference 35, the pinning group consensus of a kind of HMASs has been discussed.…”

Section: Related Workmentioning

confidence: 99%

“…How to reduce the control cost has become a very important problem in the control field. Pinning control, as a very effective control method in reducing the control cost, has been widely used by many scholars 31‐37 . In Reference 33, by using Lyapunov function, pinning and self‐adaptive control, group consensus of a kind of HMASs has been investigated.…”

Section: Introductionmentioning

confidence: 99%

“…In Reference 33, by using Lyapunov function, pinning and self‐adaptive control, group consensus of a kind of HMASs has been investigated. In Reference 35, the pinning group consensus of a kind of HMASs has been discussed. By using mode‐dependent average dwell time (MDADT) technology and delta operator method, some sufficient conditions also have been obtained to realize the consensus of this systems.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Pinning and self‐adaptive control to the couple‐group consensus of heterogeneous fractional multi‐agent systems with cooperative‐competitive relation

Cheng

2022

Adaptive Control & Signal

Self Cite

View full text Add to dashboard Cite

In this article, the couple-group consensus of a class of heterogeneous fractional multi-agent systems with time-varying delay (HFMASs) has been studied.Based on cooperative-competitive interaction, pinning and self-adaptive controller has been designed to realize the couple-group consensus for this system with single integrator and double integrator fractional-order dynamics. By using Lyapunov function, mode-dependent average dwell time (MDADT) technology, stability theory and delta operator method, some sufficient conditions have been obtained to guard the success of couple-consensus for this HFMASs with fixed or switching topologies. According to these sufficient conditions, the related feasible solutions can be solved by using liner matrix inequality (LMI). In addition, these results are also applicable to the system with weakly connected topology without containing a spanning tree or meeting the demand of equilibrium of degree. Finally, several simulation experiments have been presented to prove the validity of the related results.

show abstract

h (t)

.…”

Section: Resultsmentioning

confidence: 99%

“…

\tilde{D} ζ (t) = \hat{B} ζ (t - \overline{τ}) + Ĉ ζ (t) .

According to shift operator approach, we can obtain

ζ (t_{k} + 1) = B_{z} ζ (t_{k} - \overline{τ}) + C_{z} ζ (t_{k}),

where

C_{z} = e^{Ĉ h}

B_{z} = \int_{0}^{h} e^{\hat{B} (h - s)} \hat{B} d s

and

h

is the sampling period. According to theorem 1 in Reference 35, by doing delta operator to system (), the error differential system () can be transformed into the following delta system ().