Articles with "mathcal infty" as a keyword



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Weighted $${\mathcal {H}}_{\infty }$$H∞ consensus design for stochastic multi-agent systems subject to external disturbances and ADT switching topologies

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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… read more here.

Keywords: mathcal infty; consensus design; infty consensus; weighted mathcal ... See more keywords
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Properties of bounded representations for G-frames

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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… read more here.

Keywords: representations frames; varphi mathcal; mathcal infty; bounded representations ... See more keywords

Compressible potential flows around round bodies: Janzen–Rayleigh expansion inferences

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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… read more here.

Keywords: order; mathcal infty; janzen rayleigh; compressible potential ... See more keywords

The Structure of the Grothendieck Rings of Wreath Product Deligne Categories and their Generalisations

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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… read more here.

Keywords: infty mathbb; mathcal infty; infty; mathbb ... See more keywords

Sampled-Data $\mathcal {L}_{2}-\mathcal {L}_{\infty }$ Consensus Control of Nonlinear Multi-Agent Systems

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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… read more here.

Keywords: mathcal mathcal; control; sampled data; consensus ... See more keywords

$\mathcal H_{\infty }$ Control for 2-D Markov Jump Systems in Roesser Model

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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… read more here.

Keywords: tex math; control; jump systems; mathcal infty ... See more keywords
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An Algebraic Formula for Performance Bounds of a Weighted $\mathcal {H}_\infty$ Optimal Control Problem

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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… read more here.

Keywords: control; performance; performance bounds; mathcal infty ... See more keywords

$\mathcal{L}_2$ and $\mathcal{L}_{\infty}$ Stability Analysis of Heterogeneous Traffic With Application to Parameter Optimization for the Control of Automated Vehicles

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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… read more here.

Keywords: optimization; control; mathcal infty; stability ... See more keywords

Finite-Horizon ${\mathcal H}_{\infty }$ Consensus Control of Time-Varying Multiagent Systems With Stochastic Communication Protocol

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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… read more here.

Keywords: consensus; mathcal infty; time; tex math ... See more keywords
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Fuzzy-Model-Based $\mathcal {H}_{\infty }$ Pinning Synchronization for Coupled Neural Networks Subject to Reaction–Diffusion

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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,… read more here.

Keywords: synchronization; mathcal infty; reaction diffusion;

$\mathcal {H}_{\infty }$ Fuzzy Dynamic Output Feedback Reliable Control for Markov Jump Nonlinear Systems With PDT Switched Transition Probabilities and Its Application

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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… read more here.

Keywords: transition probabilities; mathcal infty; output; tex math ... See more keywords