全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:Martin Gugat , Rüdiger Schultz , David Wintergerst
来源:[J].Computational and Applied Mathematics(IF 0.413), 2018, Vol.37 (2), pp.1066-1097Springer
摘要:Abstract(#br)For the management of gas transportation networks, it is essential to know how the stationary states of the system are determined by the boundary data. The isothermal Euler equations are an accurate pde-model for the gas flow through each pipe. A compressibility fact...
作者:Martin Gugat , Michael Schuster
来源:[J].Mathematical Problems in Engineering(IF 1.383), 2018, Vol.2018DOAJ
摘要:We introduce a stationary model for gas flow based on simplified isothermal Euler equations in a non-cycled pipeline network. Especially the problem of the feasibility of a random load vector is analyzed. Feasibility in this context means the existence of a flow vector meeting th...
作者:Martin Gugat
来源:[J].Mathematical Problems in Engineering(IF 1.383), 2016, Vol.2016DOAJ
摘要:We consider traffic flow governed by the LWR model. We show that a Lipschitz continuous initial density with free-flow and sufficiently small Lipschitz constant can be controlled exactly to an arbitrary constant free-flow density in finite time by a piecewise linear boundary cont...
作者:Martin Gugat , Günter Leugering ...
来源:[J].Chinese Annals of Mathematics, Series B(IF 0.504), 2012, Vol.33 (4), pp.479-500Springer
摘要:Abstract(#br)The authors consider the problem of boundary feedback stabilization of the 1D Euler gas dynamics locally around stationary states and prove the exponential stability with respect to the H 2 -norm. To this end, an explicit Lyapunov function as a weighted and squared H...
作者:Martin Gugat , Vincent Perrollaz , Lionel Rosier
来源:[J].Journal of Evolution Equations(IF 0.788), 2018, Vol.18 (3), pp.1471-1500Springer
摘要:Abstract(#br)We investigate the long-time behaviour of solutions of quasilinear hyperbolic systems with transparent boundary conditions when small source terms are incorporated in the system. Even if the finite-time stability of the system is not preserved, it is shown here that ...
作者:Martin Gugat , Chaudry Masood Khalique
来源:[J].Mathematical Problems in Engineering(IF 1.383), 2016, Vol.2016Hindawi
摘要:We consider traffic flow governed by the LWR model. We show that a Lipschitz continuous initial density with free-flow and sufficiently small Lipschitz constant can be controlled exactly to an arbitrary constant free-flow density in finite time by a piecewise linear boundary cont...
作者:Martin Gugat , Michael Schuster , Gerhard-Wilhelm Weber
来源:[J].Mathematical Problems in Engineering(IF 1.383), 2018, Vol.2018Hindawi
摘要:We introduce a stationary model for gas flow based on simplified isothermal Euler equations in a non-cycled pipeline network. Especially the problem of the feasibility of a random load vector is analyzed. Feasibility in this context means the existence of a flow vector meeting th...
作者:Martin Gugat , Falk M. Hante
来源:[J].Mathematics of Control, Signals, and Systems(IF 0.417), 2017, Vol.29 (1), pp.1-15Springer
摘要:Abstract(#br)We study the optimal value function for control problems on Banach spaces that involve both continuous and discrete control decisions. For problems involving semilinear dynamics subject to mixed control inequality constraints, one can show that the optimal value depe...
作者:Martin Gugat
来源:[J].Systems & Control Letters(IF 1.667), 2014, Vol.66, pp.72-84Elsevier
摘要:Abstract(#br)We study a semilinear mildly damped wave equation that contains the telegraph equation as a special case. We consider Neumann velocity boundary feedback and prove the exponential stability of the closed loop system. We show that for vanishing damping term in the part...
作者:Martin Gugat , Emmanuel Trélat , Enrique Zuazua
来源:[J].Systems & Control Letters(IF 1.667), 2016, Vol.90, pp.61-70Elsevier
摘要:Abstract(#br)We consider a vibrating string that is fixed at one end with Neumann control action at the other end. We investigate the optimal control problem of steering this system from given initial data to rest, in time T , by minimizing an objective functional that is th...

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