Existence and limiting behavior of minimizers for attractive Schrödinger‐Poisson systems with periodic potentials
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6232
Abstract: We study the constrained minimizing problem of the energy functional related to attractive Schrödinger‐Poisson systems with periodic potentials: I(m)=infE(ϕ):ϕ∈H1(R3),‖ϕ‖L22=m, where E(ϕ):=12∫R3|∇ϕ(x)|2dx+12∫R3V(x)|ϕ(x)|2dx−14∬R3×R3|ϕ(x)|2|ϕ(y)|2|x−y|dxdy−1α+2∫R3|ϕ(x)|α+2dx, with m>0 , α>0 , and V is a continuous periodic potential. We first… read more here.
Keywords: poisson systems; dinger poisson; attractive schr; systems periodic ... See more keywords
Two-level systems with periodic N -step driving fields: Exact dynamics and quantum state manipulations
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review A"
DOI: 10.1103/physreva.104.053101
Abstract: Zhi-Cheng Shi,1,2 Ye-Hong Chen ,3 Wei Qin,3 Yan Xia,1,2,* X. X. Yi ,4,† Shi-Biao Zheng,1,2 and Franco Nori 3,5 1Fujian Key Laboratory of Quantum Information and Quantum Optics (Fuzhou University), Fuzhou 350108, China 2Department of… read more here.
Keywords: physics; two level; systems periodic; level systems ... See more keywords
Robust Hybrid Output Regulation for Linear Systems With Periodic Jumps: The Non-Semiclassical Case
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DOI: 10.1109/lcsys.2019.2921651
Abstract: This letter solves the robust hybrid output regulation problem for uncertain hybrid MIMO linear systems with periodic jumps without assuming any a priori structural decomposition on the considered plant (as in the semi-classical case). A… read more here.
Keywords: hybrid output; systems periodic; regulation; linear systems ... See more keywords
Event-Based Adaptive Containment Control for Nonlinear Multiagent Systems With Periodic Disturbances
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2022.3200053
Abstract: This brief presents an event-based adaptive containment control scheme for nonlinear multi-agent systems with periodic disturbances and unknown coefficients. To decrease some unnecessary data transmissions, an improved event-triggered mechanism is introduced, i.e., a dynamically adjusted… read more here.
Keywords: systems periodic; event; containment control; adaptive containment ... See more keywords