A Two-Level Energy Method for Indirect Boundary Observability and Controllability of Weakly Coupled Hyperbolic Systems

This work is concerned with the boundary observability of an abstract system of two coupled second order evolution equations, the coupling operator being a compact perturbation of the uncoupled sys...

[1]  Daniel Tataru,et al.  Carleman estimates and boundary observability for a coupled parabolic-hyperbolic system , 2000 .

[2]  Fatiha Alabau-Boussouira,et al.  Indirect Boundary Stabilization of Weakly Coupled Hyperbolic Systems , 2002, SIAM J. Control. Optim..

[3]  E. Zuazua,et al.  A direct method for boundary stabilization of the wave equation , 1990 .

[4]  Zhuangyi Liu,et al.  Exponential stability and analyticity of abstract linear thermoelastic systems , 1997 .

[5]  F. Alabau Observabilité frontière indirecte de systèmes faiblement couplés , 2001 .

[6]  Constantine M. Dafermos,et al.  On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity , 1968 .

[7]  P. Grisvard Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités , 1989 .

[8]  OBSERVABILITY AND UNIQUENESS THEOREM FOR A COUPLED HYPERBOLIC SYSTEM , 2000 .

[9]  Enrique Zuazua,et al.  Decay Rates for the Three‐Dimensional Linear System of Thermoelasticity , 1999 .

[10]  Irena Lasiecka,et al.  Uniform decay rates for full von karman system of dynamic theromelasticity with free boundary conditions and partial boundary dissipation , 1999 .

[11]  J. U. Kim,et al.  Boundary control of the Timoshenko beam , 1987 .

[12]  P. Grisvard Elliptic Problems in Nonsmooth Domains , 1985 .

[13]  P. Grisvard Singularities in Boundary Value Problems , 1992 .

[14]  R. Nagel,et al.  One-parameter semigroups for linear evolution equations , 1999 .

[15]  V. Komornik Exact Controllability and Stabilization: The Multiplier Method , 1995 .

[16]  Irena Lasiecka,et al.  Carleman Estimates and Exact Boundary Controllability for a System of Coupled, Nonconservative Second-Order Hyperbolic Equations , 1997 .

[17]  Jacques-Louis Lions,et al.  Modelling Analysis and Control of Thin Plates , 1988 .

[18]  乔花玲,et al.  关于Semigroups of Linear Operators and Applications to Partial Differential Equations的两个注解 , 2003 .

[19]  B. Rao,et al.  Boundary stabilization of compactly coupled wave equations , 1997 .

[20]  D. Russell A General Framework for the Study of Indirect Damping Mechanisms in Elastic Systems , 1993 .

[21]  C. SIAMJ. RAPID BOUNDARY STABILIZATION OF LINEAR DISTRIBUTED SYSTEMS , 1997 .

[22]  R. Racke,et al.  Smoothing properties, decay, and global existence of solutions to nonlinear coupled systems of thermoelastic type , 1995 .

[23]  C. Bardos,et al.  Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary , 1992 .

[24]  Fatiha Alabau,et al.  Boundary observability, controllability and stabilization of linear elastodynamic systems , 1999 .

[25]  Vilmos Komornik,et al.  Indirect internal stabilization of weakly coupled evolution equations , 2002 .

[26]  Vilmos Komornik,et al.  Ingham-Type Theorems for Vector-Valued Functions and Observability of Coupled Linear Systems , 1999 .

[27]  G. Lebeau,et al.  Mesures de défaut de compacité, application au système de Lamé , 2001 .