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| 1 | On the Semi-discretization of Optimal Control Problems for Networks of Elastic Strings: Global Optimality Systems and Domain Decomposition 显示文摘 | Leugering G | 2000 | Journal of Computational and Applied Mathematics (S0377-0427)2000,120,1: | 1 |
| 2 | On the modelling and sta- bililzation of flows in networks of open canals显示文摘 | LEUGERING G SCHMIDT E J P G | 2002 | SlAM Journal on Control and Optimization2002,41,1: | 1 |
| 3 | Tau potentiates nerve growth factor-in- duced mitogen-activated protein kinase signaling and neu- rite initiation without a requirement for microtubule binding 显示文摘 | Leugers CJ Lee G | 2010 | J Biol Chem2010,285,19: | 1 |
| 4 | Dynamic domain decomposition of optimal control problems for networks of strings and timoshenko beams显示文摘 | LEUGERING G | 1999 | SIAM Journal of Control Optimization1999,37,6: | 1 |
| 5 | Modelling and controllability of networks of thin beams显示文摘 | Lagnese J E Leugering G Schmidt E J P G | 1991 | System modelling and optimization (Zurich1991,46,74: | 1 |
| 6 | On the analysis and control of hyperbolic systems associated with vibrating networks显示文摘 | Lagnese J E Leugering G Schmidt E J P G | 1994 | Proc Roy Soc Edinburgh Sect A1994,124,: | 1 |
| 7 | Domain decomposition of optimal control problems for dynamic networks of elastic strings显示文摘 | LEUGERING G | 2000 | Computional Optimization and Applications2000,16,1: | 1 |
| 8 | Dynamic domain decomposition of optimal control problems for networks of strings and Timoshenko beams 显示文摘 | LEUGERING G | 1999 | SIAM Journal on Control and Optimal1999,37,6: | 1 |
| 9 | H^2-Stabilization of the Isothermal Euler Equations: a Lyapunov Function Approach显示文摘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^2-norm of a small perturbation of the stationary solution is constructed. The authors show that by a suitable choice of the boundary feedback conditions, the H^2-exponential stability of the stationary solution follows. Due to this fact, the system is stabilized over an infinite time interval. Furthermore, exponential estimates for the C^1-norm are derived. | Martin GUGAT Günter LEUGERING Simona TAMASOIU | 2012 | Chinese Annals of Mathematics,Series B2012,33,4: | 0 |
| 10 | Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions显示文摘This paper deals with the spatial vibration of an elastic string with masses at the endpoints. The authors derive the corresponding quasilinear wave equation with dynamical boundary conditions, and prove the exact boundary controllability of this system by means of a constructive method with modular structure. | Yue WANG Günter LEUGERING Tatsien LI | 2020 | Chinese Annals of Mathematics,Series B2020,41,3: | 0 |
| 11 | AN AUGMENTED BV SETTING FOR FEEDBACK SWITCHING CONTROL显示文摘This paper considers dynamical systems under feedback with control actions limited toswitching.The authors wish to understand the closed-loop systems as approximating multi-scale problemsin which the implementation of switching merely acts on a fast scale.Such hybrid dynamicalsystems are extensively studied in the literature,but not much so far for feedback with partial stateobservation.This becomes in particular relevant when the dynamical systems are governed by partialdifferential equations.The authors introduce an augmented BV setting which permits recognition ofcertain fast scale effects and give a corresponding well-posedness result for observations with such minimalregularity.As an application for this setting,the authors show existence of solutions for systemsof semilinear hyperbolic equations under such feedback with pointwise observations. | Falk M.HANTE Günter LEUGERING Thomas I.SEIDMAN | 2010 | Journal of Systems Science & Complexity2010,23,3: | 0 |
| 12 | Exact Boundary Controllability on a Tree-Like Network of Nonlinear Planar Timoshenko Beams显示文摘This paper concerns a system of equations describing the vibrations of a planar network of nonlinear Timoshenko beams. The authors derive the equations and appropriate nodal conditions, determine equilibrium solutions and, using the methods of quasilinear hyperbolic systems, prove that for tree-like networks the natural initial-boundary value problem admits semi-global classical solutions in the sense of Li [Li, T. T., Controllability and Observability for Quasilinear Hyperbolic Systems, AIMS Ser. Appl. Math., vol 3,American Institute of Mathematical Sciences and Higher Education Press, 2010] existing in a neighborhood of the equilibrium solution. The authors then prove the local exact controllability of such networks near such equilibrium configurations in a certain specified time interval depending on the speed of propagation in the individual beams. | Qilong GU Günter LEUGERING Tatsien LI | 2017 | Chinese Annals of Mathematics,Series B2017,38,3: | 0 |