A dynamic control law for the wave equation
dc.citation.epage | 1792 | en_US |
dc.citation.issueNumber | 11 | en_US |
dc.citation.spage | 1785 | en_US |
dc.citation.volumeNumber | 30 | en_US |
dc.contributor.author | Morgül, Ö. | en_US |
dc.date.accessioned | 2016-02-08T10:53:43Z | |
dc.date.available | 2016-02-08T10:53:43Z | |
dc.date.issued | 1994 | en_US |
dc.department | Department of Electrical and Electronics Engineering | en_US |
dc.description.abstract | We consider a system described by the one-dimensional linear wave equation in a bounded domain with appropriate boundary conditions. To stabilize the system, we propose a dynamic boundary controller applied at the free end of the system. The transfer function of the proposed controller is restricted to be a positive real function which could be strictly proper. We then show that, if the transfer function of the controller is strictly proper, then the resulting closed-loop system is asymptotically stable, and if proper but not strictly proper, then the resulting closed-loop system is exponentially stable. | en_US |
dc.identifier.doi | 10.1016/0005-1098(94)90083-3 | en_US |
dc.identifier.issn | 0005-1098 | |
dc.identifier.uri | http://hdl.handle.net/11693/26009 | |
dc.language.iso | English | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1016/0005-1098(94)90083-3 | en_US |
dc.source.title | Automatica | en_US |
dc.subject | Boundary value problems | en_US |
dc.subject | Distrubuted parameter systems | en_US |
dc.subject | Lyapunov methods | en_US |
dc.subject | Partial differential equations | en_US |
dc.subject | Stability | en_US |
dc.subject | Boundary conditions | en_US |
dc.subject | Boundary value problems | en_US |
dc.subject | Distributed parameter control systems | en_US |
dc.subject | Lyapunov methods | en_US |
dc.subject | Partial differential equations | en_US |
dc.subject | System stability | en_US |
dc.subject | Transfer functions | en_US |
dc.subject | Dynamic control law | en_US |
dc.subject | Linear wave equation | en_US |
dc.subject | Control system analysis | en_US |
dc.title | A dynamic control law for the wave equation | en_US |
dc.type | Article | en_US |