In this paper the exact boundary controllability of nodal profile, originally proposed by M. Gugat et al., is studied for general 1-D quasilinear hyperbolic systems with general nonlinear boundary conditions.
Exact boundary observability for nonautonomous first-order quasilinear hyperbolic systems
β Scribed by Lina Guo; Zhiqiang Wang
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 128 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1013
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
By means of the theory on the semiglobal C^1^ solution to the mixed initialβboundary value problem for firstβorder quasilinear hyperbolic systems, we establish the local exact boundary observability for general nonautonomous firstβorder quasilinear hyperbolic systems without zero eigenvalues and reveal the essential difference between nonautonomous hyperbolic systems and autonomous hyperbolic systems. Copyright Β© 2008 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
In this paper, the exact boundary controllability of nodal profile is established for quasilinear hyperbolic systems with general nonlinear boundary and interface conditions in a tree-like network with general topology. The basic principles for giving nodal profiles and for choosing boundary control