Control properties for second-order hyperbolic systems in anisotropic cases with applications in inhomogeneous and anisotropic elastodynamic systems

Impact Factor:2.2

DOI number:10.1137/17M114203X

Journal:SIAM Journal on Control and Optimization

Key Words:hyperbolic systems; anisotropic; observability inequality; controllability; elastodynamic systems

Abstract:We consider control properties for second-order hyperbolic systems in anisotropic cases with variable coefficient matrices in a bounded domain in R-n with C-2-boundary. Assuming that the coefficient matrices satisfy suitable conditions, we establish observability inequalities for hyperbolic systems in anisotropic cases. Then, using the Hilbert uniqueness method, we deduce the exact controllability of the corresponding control problem for hyperbolic systems in anisotropic cases. The same results for linear elastodynamic systems in inhomogeneous and anisotropic media are provided to illustrate the application of the results.

Co-author:Shumin Li

First Author:Yunxia Shang

Indexed by:Journal paper

Document Code:000453785900011

Discipline:Natural Science

Document Type:J

Volume:56

Issue:6

Page Number:4181-4202

ISSN No.:0363-0129

Translation or Not:no

Date of Publication:2018-11-13

Links to published journals:https://epubs.siam.org/doi/10.1137/17M114203X