L2-norm blow-up of solutions to a fourth order parabolic PDE involving the Hessian
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.06.015
Abstract: Abstract This paper deals with a fourth order parabolic PDE arising in the theory of epitaxial growth of crystal. We focalize the study on one open question proposed by Escudero et al. (2015) [4] ,… read more here.
Keywords: fourth order; order parabolic; parabolic pde; norm blow ... See more keywords
Parabolic PDE-based multi-agent formation control on a cylindrical surface
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Control"
DOI: 10.1080/00207179.2017.1308556
Abstract: ABSTRACT This paper considers the modelling and control design of the multi-agent systems in the 3-D space. The communication graph of the agents is a mesh-grid 2-D cylindrical surface. Different from most existing literatures, where… read more here.
Keywords: control; formation; multi agent; cylindrical surface ... See more keywords
Output-Feedback Adaptive Fault-Tolerant Boundary Control for Parabolic PDE Systems
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DOI: 10.1109/lcsys.2023.3244999
Abstract: This letter investigates the output-feedback fault-tolerant boundary control problem for a class of parabolic PDE systems subject to both biased harmonic disturbances and multiplicative actuator faults. In this problem, a trajectory tracking objective is given… read more here.
Keywords: parabolic pde; control; tolerant boundary; boundary control ... See more keywords
Control Design for Parabolic PDE Systems via T–S Fuzzy Model
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2021.3071502
Abstract: In this article, we investigate the parabolic partial differential equations (PDEs) systems with Neumann boundary conditions via the Takagi–Sugeno (T–S) fuzzy model. On the basis of the obtained T–S fuzzy PDE model, a novel fuzzy… read more here.
Keywords: fuzzy model; state; parabolic pde; controller ... See more keywords