Log in

Relevant bibliographies by topics / Global exact boundary controllability / Journal articles

To see the other types of publications on this topic, follow the link: Global exact boundary controllability.

Journal articles on the topic 'Global exact boundary controllability'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Global exact boundary controllability.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

CHAPOULY, MARIANNE. "GLOBAL CONTROLLABILITY OF A NONLINEAR KORTEWEG–DE VRIES EQUATION." Communications in Contemporary Mathematics 11, no. 03 (June 2009): 495–521. http://dx.doi.org/10.1142/s0219199709003454.

Full text

Abstract:

We are interested in both the global exact controllability to the trajectories and in the global exact controllability of a nonlinear Korteweg–de Vries equation in a bounded interval. The local exact controllability to the trajectories by means of one boundary control, namely the boundary value at the left endpoint, has already been proved independently by Rosier, and Glass and Guerrero. We first introduce here two more controls: the boundary value at the right endpoint and the right member of the equation, assumed to be x-independent. Then, we prove that, thanks to these three controls, one has the global exact controllability to the trajectories, for any positive time T. Finally, we introduce a fourth control on the first derivative at the right endpoint, and we get the global exact controllability, for any positive time T.

APA, Harvard, Vancouver, ISO, and other styles

2

Araújo, Raul K. C., Enrique Fernández-Cara, and Diego A. Souza. "On the uniform controllability for a family of non-viscous and viscous Burgers-α systems." ESAIM: Control, Optimisation and Calculus of Variations 27 (2021): 78. http://dx.doi.org/10.1051/cocv/2021073.

Full text

Abstract:

In this paper we study the global controllability of families of the so called non-viscous and viscous Burgers-α systems by using boundary and space independent distributed controls. In these equations, the usual convective velocity of the Burgers equation is replaced by a regularized velocity, induced by a Helmholtz filter of characteristic wavelength α. First, we prove a global exact controllability result (uniform with respect to α) for the non-viscous Burgers-α system, using the return method and a fixed-point argument. Then, the global uniform exact controllability to constant states is deduced for the viscous equations. To this purpose, we first prove a local exact controllability property and, then, we establish a global approximate controllability result for smooth initial and target states.

APA, Harvard, Vancouver, ISO, and other styles

3

Li (Daqian Li), Tatsien. "Global exact boundary controllability for first order quasilinear hyperbolic systems." Discrete & Continuous Dynamical Systems - B 14, no. 4 (2010): 1419–32. http://dx.doi.org/10.3934/dcdsb.2010.14.1419.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Wang, Ke. "Global exact boundary controllability for 1-D quasilinear wave equations." Mathematical Methods in the Applied Sciences 34, no. 3 (August 23, 2010): 315–24. http://dx.doi.org/10.1002/mma.1358.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Li, Tatsien, and Lei Yu. "Local exact boundary controllability of entropy solutions to linearly degenerate quasilinear hyperbolic systems of conservation laws." ESAIM: Control, Optimisation and Calculus of Variations 24, no. 2 (April 2018): 793–810. http://dx.doi.org/10.1051/cocv/2017072.

Full text

Abstract:

In this paper, we study the local exact boundary controllability of entropy solutions to linearly degenerate quasilinear hyperbolic systems of conservation laws with characteristics of constant multiplicity. We prove the two-sided boundary controllability, the one-sided boundary controllability and the two-sided boundary controllability with fewer controls, by applying the strategy used in [T. Li and L. Yu, J. Math. Pures et Appl. 107 (2017) 1–40; L. Yu, Chinese Ann. Math., Ser. B (To appear)]. Our constructive method is based on the well-posedness of semi-global solutions constructed by the limit of ε-approximate front tracking solutions to the mixed initial-boundary value problem with general nonlinear boundary conditions, and on some further properties of both ε-approximate front tracking solutions and limit solutions.

APA, Harvard, Vancouver, ISO, and other styles

6

Liu, Cunming, and Peng Qu. "Global exact boundary controllability for general first-order quasilinear hyperbolic systems." Chinese Annals of Mathematics, Series B 36, no. 6 (October 25, 2015): 895–906. http://dx.doi.org/10.1007/s11401-015-0968-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Capistrano–Filho, Roberto A., Ademir F. Pazoto, and Lionel Rosier. "Control of a Boussinesq system of KdV–KdV type on a bounded interval." ESAIM: Control, Optimisation and Calculus of Variations 25 (2019): 58. http://dx.doi.org/10.1051/cocv/2018036.

Full text

Abstract:

We consider a Boussinesq system of KdV–KdV type introduced by J.L. Bona, M. Chen and J.-C. Saut as a model for the motion of small amplitude long waves on the surface of an ideal fluid. This system of two equations can describe the propagation of waves in both directions, while the single KdV equation is limited to unidirectional waves. We are concerned here with the exact controllability of the Boussinesq system by using some boundary controls. By reducing the controllability problem to a spectral problem which is solved by using the Paley–Wiener method introduced by the third author for KdV, we determine explicitly all the critical lengths for which the exact controllability fails for the linearized system, and give a complete picture of the controllability results with one or two boundary controls of Dirichlet or Neumann type. The extension of the exact controllability to the full Boussinesq system is derived in the energy space in the case of a control of Neumann type. It is obtained by incorporating a boundary feedback in the control in order to ensure a global Kato smoothing effect.

APA, Harvard, Vancouver, ISO, and other styles

8

Yin, Zhongqi. "Null exact controllability of the parabolic equations with equivalued surface boundary condition." Journal of Applied Mathematics and Stochastic Analysis 2006 (April 13, 2006): 1–10. http://dx.doi.org/10.1155/jamsa/2006/62694.

Full text

Abstract:

This paper is devoted to showing the null exact controllability for a class of parabolic equations with equivalued surface boundary condition. Our method is based on the duality argument and global Carleman-type estimate for a parabolic operator.

APA, Harvard, Vancouver, ISO, and other styles

9

CORON, JEAN-MICHEL, and EMMANUEL TRÉLAT. "GLOBAL STEADY-STATE STABILIZATION AND CONTROLLABILITY OF 1D SEMILINEAR WAVE EQUATIONS." Communications in Contemporary Mathematics 08, no. 04 (August 2006): 535–67. http://dx.doi.org/10.1142/s0219199706002209.

Full text

Abstract:

This paper is concerned with the exact boundary controllability of semilinear wave equations in one space dimension. We prove that it is possible to move from any steady-state to any other one by means of a boundary control, provided that they are in the same connected component of the set of steady-states. The proof is based on an expansion of the solution in a one-parameter Riesz basis of generalized eigenvectors, and on an effective feedback stabilization procedure which is implemented.

APA, Harvard, Vancouver, ISO, and other styles

10

Li, Tatsien, and Zhiqiang Wang. "Global exact boundary controllability for first order quasilinear hyperbolic systems of diagonal form." International Journal of Dynamical Systems and Differential Equations 1, no. 1 (2007): 12. http://dx.doi.org/10.1504/ijdsde.2007.013741.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Gugat, Martin. "Exact Boundary Controllability for Free Traffic Flow with Lipschitz Continuous State." Mathematical Problems in Engineering 2016 (2016): 1–11. http://dx.doi.org/10.1155/2016/2743251.

Full text

Abstract:

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 control function that controls the density at the inflow boundary if the outflow boundary is absorbing. Moreover, this can be done in such a way that the generated state is Lipschitz continuous. Since the target states need not be close to the initial state, our result is a global exact controllability result. The Lipschitz constant of the generated state can be made arbitrarily small if the Lipschitz constant of the initial density is sufficiently small and the control time is sufficiently long. This is motivated by the idea that finite or even small Lipschitz constants are desirable in traffic flow since they might help to decrease the speed variation and lead to safer traffic.

APA, Harvard, Vancouver, ISO, and other styles

12

Vergara-Hermosilla, G., G. Leugering, and Y. Wang. "Boundary controllability of a system modelling a partially immersed obstacle." ESAIM: Control, Optimisation and Calculus of Variations 27 (2021): 80. http://dx.doi.org/10.1051/cocv/2021076.

Full text

Abstract:

In this paper, we address the problem of boundary controllability for the one-dimensional nonlinear shallow water system, describing the free surface flow of water as well as the flow under a fixed gate structure. The system of differential equations considered can be interpreted as a simplified model of a particular type of wave energy device converter called oscillating water column. The physical requirements naturally lead to the problem of exact controllability in a prescribed region. In particular, we use the concept of nodal profile controllability in which at a given point (the node) time-dependent profiles for the states are required to be reachable by boundary controls. By rewriting the system into a hyperbolic system with nonlocal boundary conditions, we at first establish the semi-global classical solutions of the system, then get the local controllability and nodal profile using a constructive method. In addition, based on this constructive process, we provide an algorithmic concept to calculate the required boundary control function for generating a solution for solving these control problem.

APA, Harvard, Vancouver, ISO, and other styles

13

Kong, De-Xing. "Global exact boundary controllability of a class of quasilinear hyperbolic systems of conservation laws." Systems & Control Letters 47, no. 4 (November 2002): 287–98. http://dx.doi.org/10.1016/s0167-6911(02)00200-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Zhou, Yi, Wei Xu, and Zhen Lei. "Global exact boundary controllability for cubic semi-linear wave equations and Klein-Gordon equations." Chinese Annals of Mathematics, Series B 31, no. 1 (December 11, 2009): 35–58. http://dx.doi.org/10.1007/s11401-008-0426-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Kim, Tujin, Qian-shun Chang, and Jing Xu. "A global Carleman inequality and exact controllability of parabolic equations with mixed boundary conditions." Acta Mathematicae Applicatae Sinica, English Series 24, no. 2 (April 2008): 265–80. http://dx.doi.org/10.1007/s10255-006-6011-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Kong, De-Xing, and Hui Yao. "Global Exact Boundary Controllability of a Class of Quasilinear Hyperbolic Systems of Conservation Laws II." SIAM Journal on Control and Optimization 44, no. 1 (January 2005): 140–58. http://dx.doi.org/10.1137/s0363012903432651.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Coron, Jean-Michel, Frédéric Marbach, and Franck Sueur. "Small-time global exact controllability of the Navier–Stokes equation with Navier slip-with-friction boundary conditions." Journal of the European Mathematical Society 22, no. 5 (February 11, 2020): 1625–73. http://dx.doi.org/10.4171/jems/952.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Avdonin, Sergei, Abdon Choque Rivero, and Luz De Teresa. "Exact boundary controllability of coupled hyperbolic equations." International Journal of Applied Mathematics and Computer Science 23, no. 4 (December 1, 2013): 701–9. http://dx.doi.org/10.2478/amcs-2013-0052.

Full text

Abstract:

Abstract We study the exact boundary controllability of two coupled one dimensional wave equations with a control acting only in one equation. The problem is transformed into a moment problem. This framework has been used in control theory of distributed parameter systems since the classical works of A.G. Butkovsky, H.O. Fattorini and D.L. Russell in the late 1960s to the early 1970s. We use recent results on the Riesz basis property of exponential divided differences.

APA, Harvard, Vancouver, ISO, and other styles

19

Aassila, Mohammed. "Exact boundary controllability of a coupled system." Discrete and Continuous Dynamical Systems 6, no. 3 (April 2000): 665–72. http://dx.doi.org/10.3934/dcds.2000.6.665.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Weck, N. "Exact Boundary Controllability of a Maxwell Problem." SIAM Journal on Control and Optimization 38, no. 3 (January 2000): 736–50. http://dx.doi.org/10.1137/s0363012998347559.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Leugering, G�nter. "Exact boundary controllability of an integrodifferential equation." Applied Mathematics & Optimization 15, no. 1 (January 1987): 223–50. http://dx.doi.org/10.1007/bf01442653.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Guzmán, Patricio, and Jiamin Zhu. "Exact boundary controllability of a microbeam model." Journal of Mathematical Analysis and Applications 425, no. 2 (May 2015): 655–65. http://dx.doi.org/10.1016/j.jmaa.2014.12.059.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Tatsien, Li. "Exact boundary controllability for quasilinear wave equations." Journal of Computational and Applied Mathematics 190, no. 1-2 (June 2006): 127–35. http://dx.doi.org/10.1016/j.cam.2005.04.012.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Lasri, Marieme, Hamid Bounit, and Said Hadd. "On exact controllability of linear perturbed boundary systems: a semigroup approach." IMA Journal of Mathematical Control and Information 37, no. 4 (October 12, 2020): 1548–73. http://dx.doi.org/10.1093/imamci/dnaa024.

Full text

Abstract:

Abstract The purpose of this paper is to investigate the robustness of exact controllability of perturbed linear systems in Banach spaces. Under some conditions, we prove that the exact controllability is preserved if we perturb the generator of an infinite-dimensional control system by appropriate Miyadera–Voigt perturbations. Furthermore, we study the robustness of exact controllability for perturbed boundary control systems. As application, we study the robustness of exact controllability of neutral equations. We mention that our approach is mainly based on the concept of feedback theory of infinite-dimensional linear systems.

APA, Harvard, Vancouver, ISO, and other styles

25

Sadkowski, Wawrzyniec. "GLOBAL EXACT CONTROLLABILITY FOR GENERALIZED WAVE EQUATION." Demonstratio Mathematica 30, no. 3 (July 1, 1997): 687–96. http://dx.doi.org/10.1515/dema-1997-0326.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Engel, Klaus-Jochen, and Marjeta Kramar FijavŽ. "Exact and positive controllability of boundary control systems." Networks & Heterogeneous Media 12, no. 2 (2017): 319–37. http://dx.doi.org/10.3934/nhm.2017014.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Zhou, Yi, and Zhen Lei. "Local Exact Boundary Controllability for Nonlinear Wave Equations." SIAM Journal on Control and Optimization 46, no. 3 (January 2007): 1022–51. http://dx.doi.org/10.1137/060650222.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Rajaram, Rajeev. "Exact boundary controllability of the linear advection equation." Applicable Analysis 88, no. 1 (January 2009): 121–29. http://dx.doi.org/10.1080/00036810802713842.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Li, Ta-Tsien, and Bo-Peng Rao. "Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems." SIAM Journal on Control and Optimization 41, no. 6 (January 2003): 1748–55. http://dx.doi.org/10.1137/s0363012901390099.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Kapitonov, B. V. "Stabilization and Exact Boundary Controllability for Maxwell’s Equations." SIAM Journal on Control and Optimization 32, no. 2 (March 1994): 408–20. http://dx.doi.org/10.1137/s0363012991218487.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Fursikov, A. V., and O. Yu Imanuvilov. "Local Exact Boundary Controllability of the Boussinesq Equation." SIAM Journal on Control and Optimization 36, no. 2 (March 1998): 391–421. http://dx.doi.org/10.1137/s0363012996296796.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Glass, Olivier. "Exact boundary controllability of 3-D Euler equation." ESAIM: Control, Optimisation and Calculus of Variations 5 (2000): 1–44. http://dx.doi.org/10.1051/cocv:2000100.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Rosier, Lionel, and Bing-Yu Zhang. "Exact boundary controllability of the nonlinear Schrödinger equation." Journal of Differential Equations 246, no. 10 (May 2009): 4129–53. http://dx.doi.org/10.1016/j.jde.2008.11.004.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Antunes, G. O., M. D. G. da Silva, and R. F. Apolaya. "Schrödinger equations in noncylindrical domains: exact controllability." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–29. http://dx.doi.org/10.1155/ijmms/2006/78192.

Full text

Abstract:

We consider an open bounded setΩ⊂ℝnand a family{K(t)}t≥0of orthogonal matrices ofℝn. SetΩt={x∈ℝn;x=K(t)y,for all y∈Ω}, whose boundary isΓt. We denote byQ^the noncylindrical domain given byQ^=∪0<t<T{Ωt×{t}}, with the regular lateral boundaryΣ^=∪0<t<T{Γt×{t}}. In this paper we investigate the boundary exact controllability for the linear Schrödinger equationu′−iΔu=finQ^(i2=−1),u=wonΣ^,u(x,0)=u0(x)inΩ0, wherewis the control.

APA, Harvard, Vancouver, ISO, and other styles

35

BRADLEY, MARY E., and IRENA LASIECKA. "EXACT BOUNDARY CONTROLLABILITY OF A NONLINEAR SHALLOW SPHERICAL SHELL." Mathematical Models and Methods in Applied Sciences 08, no. 06 (September 1998): 927–55. http://dx.doi.org/10.1142/s0218202598000421.

Full text

Abstract:

We consider the problem of boundary exact controllability of a coupled nonlinear system which describes vibrations of a thin, shallow, spherical shell. We show that under the geometric condition of "shallowness", which restricts the curvature with respect to the thickness, the system is exactly controllable in the natural "finite energy" space by means of L2 controls. This controllability is produced via moments and shear forces applied to the edge of the shell.

APA, Harvard, Vancouver, ISO, and other styles

36

Hu, Long, Fanqiong Ji, and Ke Wang. "Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations." Chinese Annals of Mathematics, Series B 34, no. 4 (July 2013): 479–90. http://dx.doi.org/10.1007/s11401-013-0785-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Fabre, Caroline. "Exact Boundary Controllability of the Wave Equation as the Limit of Internal Controllability." SIAM Journal on Control and Optimization 30, no. 5 (September 1992): 1066–86. http://dx.doi.org/10.1137/0330056.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Li, Ta-Tsien, and Yu-Lan Xu. "Local Exact Boundary Controllability for Nonlinear Vibrating String Equations." International Journal of Modern Physics B 17, no. 22n24 (September 30, 2003): 4062–71. http://dx.doi.org/10.1142/s0217979203022039.

Full text

Abstract:

Based on the theory of semiglobal C1 solutions to a class of nonlocal mixed initial-boundary value problems for quasilinear hyperbolic systems, we establish the local exact boundary controllability for a class of nonlinear vibrating string problems with boundary condition of the third type on one end.

APA, Harvard, Vancouver, ISO, and other styles

39

Liu, Weijiu, and Graham Williams. "Exact Neumann boundary controllability for second order hyperbolic equations." Colloquium Mathematicum 76, no. 1 (1998): 117–42. http://dx.doi.org/10.4064/cm-76-1-117-142.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

Karite, Touria, and Ali Boutoulout. "Boundary gradient exact enlarged controllability of semilinear parabolic problems." Advances in Science, Technology and Engineering Systems Journal 2, no. 5 (December 2017): 167–72. http://dx.doi.org/10.25046/aj020524.

Full text

APA, Harvard, Vancouver, ISO, and other styles

41

Santos, Manoel J., Carlos A. Raposo, and Leonardo R. S. Rodrigues. "Boundary exact controllability for a porous elastic Timoshenko system." Applications of Mathematics 65, no. 4 (July 3, 2020): 343–54. http://dx.doi.org/10.21136/am.2020.0133-19.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Bastos, W. D., A. Spezamiglio, and C. A. Raposo. "On exact boundary controllability for linearly coupled wave equations." Journal of Mathematical Analysis and Applications 381, no. 2 (September 2011): 557–64. http://dx.doi.org/10.1016/j.jmaa.2011.02.074.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Rodrigues, Sérgio S. "Local exact boundary controllability of 3D Navier–Stokes equations." Nonlinear Analysis: Theory, Methods & Applications 95 (January 2014): 175–90. http://dx.doi.org/10.1016/j.na.2013.09.003.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Tatsien, Li, and Yu Lixin. "Exact Boundary Controllability for 1‐D Quasilinear Wave Equations." SIAM Journal on Control and Optimization 45, no. 3 (January 2006): 1074–83. http://dx.doi.org/10.1137/s0363012903427300.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Zhang, Bing-Yu. "Exact Boundary Controllability of the Korteweg--de Vries Equation." SIAM Journal on Control and Optimization 37, no. 2 (January 1999): 543–65. http://dx.doi.org/10.1137/s0363012997327501.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Zhang, Chun-Guo, and Hong-Xiang Hu. "Exact controllability of a Timoshenko beam with dynamical boundary." Journal of Mathematics of Kyoto University 47, no. 3 (2007): 643–55. http://dx.doi.org/10.1215/kjm/1250281029.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Wang, Zhiqiang. "Exact boundary controllability for non-autonomous quasilinear wave equations." Mathematical Methods in the Applied Sciences 30, no. 11 (2007): 1311–27. http://dx.doi.org/10.1002/mma.843.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Lixin, Yu. "Exact boundary controllability for higher order quasilinear hyperbolic equations." Applied Mathematics-A Journal of Chinese Universities 20, no. 2 (June 2005): 127–41. http://dx.doi.org/10.1007/s11766-005-0045-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Zong, Xiju, Yi Zhao, Zhaoyang Yin, and Tao Chi. "Exact boundary controllability of 1-D nonlinear Schrödinger equation." Applied Mathematics-A Journal of Chinese Universities 22, no. 3 (September 2007): 277–85. http://dx.doi.org/10.1007/s11766-007-0304-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Kapitonov, B. V. "Uniqueness theorems and exact boundary controllability of evolution systems." Siberian Mathematical Journal 34, no. 5 (1993): 852–68. http://dx.doi.org/10.1007/bf00971402.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!