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Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-04826-9
Abstract: This paper is devoted to weighted $${\mathcal {H}}_{\infty }$$H∞ consensus design for continuous-time/discrete-time stochastic multi-agent systems with average dwell time (ADT) switching topologies and external disturbances via output feedback. By introducing a linear transformation, the…
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Keywords:
mathcal infty;
consensus design;
infty consensus;
weighted mathcal ... See more keywords
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Published in 2020 at "Journal of Pseudo-Differential Operators and Applications"
DOI: 10.1007/s11868-022-00440-3
Abstract: The purpose of the paper is to analyze g -frames of the form $$\{\varphi T^{i} \in B(\mathcal {H},\mathcal {K})\}_{i=0}^\infty $$ { φ T i ∈ B ( H , K ) } i = 0…
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Keywords:
representations frames;
varphi mathcal;
mathcal infty;
bounded representations ... See more keywords
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Published in 2021 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2021.965
Abstract: Abstract The subsonic, compressible, potential flow around a hypersphere can be derived using the Janzen–Rayleigh expansion (JRE) of the flow potential in even powers of the incident Mach number ${\mathcal {M}}_\infty$. JREs were carried out…
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Keywords:
order;
mathcal infty;
janzen rayleigh;
compressible potential ... See more keywords
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1
Published in 2019 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnz144
Abstract: Given a tensor category $\mathcal{C}$ over an algebraically closed field of characteristic zero, we may form the wreath product category $\mathcal{W}_n(\mathcal{C})$. It was shown in [10] that the Grothendieck rings of these wreath product categories…
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Keywords:
infty mathbb;
mathcal infty;
infty;
mathbb ... See more keywords
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1
Published in 2017 at "IEEE Access"
DOI: 10.1109/access.2017.2772834
Abstract: The problem of sampled-data $\mathcal {L}_{2}-\mathcal {L}_{\infty }$ consensus control for the multi-agent systems with nonlinear dynamics and external disturbances is investigated via dynamic output feedback (DOF) strategy. Both the control input and the measured…
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Keywords:
mathcal mathcal;
control;
sampled data;
consensus ... See more keywords
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Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2018.2831176
Abstract: This paper considers the problem of asynchronous $\mathcal H_{\infty }$ control for two-dimensional (2-D) Markov jump systems. The underlying system is described based upon the Roesser model. Especially, the hidden Markov model is employed when…
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Keywords:
tex math;
control;
jump systems;
mathcal infty ... See more keywords
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Published in 2021 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2020.2982135
Abstract: This article provides performance bounds for a particular $\mathcal {H}_\infty$ model-matching problem. We consider scalar linear time-invariant plants in a one-degree-of-freedom control loop. We obtained explicit expressions for the Gramians needed when Nehari's theorem is…
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Keywords:
control;
performance;
performance bounds;
mathcal infty ... See more keywords
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Published in 2019 at "IEEE Transactions on Control Systems Technology"
DOI: 10.1109/tcst.2018.2808909
Abstract: The presence of (partially) automated vehicles on the roads presents an opportunity to compensate the unstable behavior of conventional vehicles. Vehicles subject to perturbations should: 1) recover their equilibrium speed and 2) react not to…
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Keywords:
optimization;
control;
mathcal infty;
stability ... See more keywords
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Published in 2017 at "IEEE Transactions on Cybernetics"
DOI: 10.1109/tcyb.2017.2685425
Abstract: This paper is concerned with the distributed ${\mathcal {H}}_{\infty }$ consensus control problem for a discrete time-varying multiagent system with the stochastic communication protocol (SCP). A directed graph is used to characterize the communication topology…
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Keywords:
consensus;
mathcal infty;
time;
tex math ... See more keywords
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Published in 2022 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2020.3036697
Abstract: This article investigates the $\mathcal {H}_{\infty }$ synchronization problem for fuzzy coupled neural networks subject to reaction–diffusion. An available control method, namely, the adaptive pinning control strategy, is employed. In view of such a method,…
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Keywords:
synchronization;
mathcal infty;
reaction diffusion;
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Published in 2022 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2021.3104336
Abstract: This article investigates the problem of designing $\mathcal {H}_{\infty }$ dynamic output feedback reliable controller for discrete-time Markov jump nonlinear systems with persistent dwell-time switched transition probabilities based on the Tagaki–Sugeno fuzzy model. The uncertainty…
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Keywords:
transition probabilities;
mathcal infty;
output;
tex math ... See more keywords