The Experts below are selected from a list of 16569 Experts worldwide ranked by ideXlab platform
Anmin Zou - One of the best experts on this subject based on the ideXlab platform.
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finite time output feedback attitude tracking control for rigid spacecraft
IEEE Transactions on Control Systems and Technology, 2014Co-Authors: Anmin ZouAbstract:This brief investigates the finite-time output feedback attitude control of a rigid spacecraft. First, a nonlinear observer is designed. Through geometric homogeneity and Lyapunov theories, it is shown that the proposed observer can achieve the semiglobal finite-time stability. Then, a finite-time output feedback controller is proposed based on the finite-time observer. Rigorous Proof shows that the proposed control law ensures semiglobal stability and guarantees the attitude of a rigid spacecraft to track a time-varying reference attitude in finite time. Simulation results are presented to illustrate the performance of the proposed controller.
Dahwei Chiou - One of the best experts on this subject based on the ideXlab platform.
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an elementary Rigorous Proof of bulk boundary correspondence in the generalized su schrieffer heeger model
Physics Letters A, 2020Co-Authors: Bohung Chen, Dahwei ChiouAbstract:Abstract We generalize the Su-Schrieffer-Heeger (SSH) model with the inclusion of arbitrary long-range hopping amplitudes, providing a simple framework to investigate arbitrary adiabatic deformations that preserve the chiral symmetry upon the bulk energy bands with any arbitrary winding numbers. Using only elementary techniques of solving linear difference equations and applying Cauchy's integral formula, we obtain a mathematically Rigorous and physically transparent Proof of the bulk-boundary correspondence for the generalized SSH model. The multiplicity of robust zero-energy edge modes is shown to be identical to the winding number. On the other hand, nonzero-energy edge modes, if any, are shown to be unstable under adiabatic deformations and not related to the topological invariant. Furthermore, under deformations of small spatial disorder, the zero-energy edge modes remain robust.
Francisco M Fernandez - One of the best experts on this subject based on the ideXlab platform.
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mathematical analysis of recent analytical approximations to the collapse of an empty spherical bubble
Journal of Chemical Physics, 2013Co-Authors: Paulo Amore, Francisco M FernandezAbstract:We analyze the Rayleigh equation for the collapse of an empty bubble and provide an explanation for some recent analytical approximations to the model. We derive the form of the singularity at the second boundary point and discuss the convergence of the approximants. We also give a Rigorous Proof of the asymptotic behavior of the coefficients of the power series that are the basis for the approximate expressions.
Hajo Leschke - One of the best experts on this subject based on the ideXlab platform.
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scaling of renyi entanglement entropies of the free fermi gas ground state a Rigorous Proof
Physical Review Letters, 2014Co-Authors: Hajo Leschke, Alexander V Sobolev, Wolfgang SpitzerAbstract:In a remarkable paper [Phys. Rev. Lett. 96, 100503 (2006)], Gioev and Klich conjectured an explicit formula for the leading asymptotic growth of the spatially bipartite von Neumann entanglement entropy of noninteracting fermions in multidimensional Euclidean space at zero temperature. Based on recent progress by one of us (A. V. S.) in semiclassical functional calculus for pseudodifferential operators with discontinuous symbols, we provide here a complete Proof of that formula and of its generalization to R\'enyi entropies of all orders $\mathrm{\ensuremath{\alpha}}g0$. The special case $\mathrm{\ensuremath{\alpha}}=1/2$ is also known under the name logarithmic negativity and often considered to be a particularly useful quantification of entanglement. These formulas exhibiting a ``logarithmically enhanced area law'' have been used already in many publications.
Hailiang Liu - One of the best experts on this subject based on the ideXlab platform.
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finite time tracking control of rigid spacecraft under actuator saturations and faults
IEEE Transactions on Automation Science and Engineering, 2016Co-Authors: Yuanqing Xia, Hailiang LiuAbstract:In this paper, an adaptive fast terminal sliding mode control control law (AFTSMCL) is presented to resolve attitude tracking control problem for rigid spacecraft, which can provide finite-time convergence, strong robustness, and fault-tolerant control. Rigorous Proof is achieved first. Simulation results are presented to illustrate the effectiveness of presented control law.
