caa a22 4500 463169352 CHVBK 20180406164808.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s10957-007-9223-z doi (NATIONALLICENCE)springer-10.1007/s10957-007-9223-z Stabilization of a One-Dimensional Dam-River System: Nondissipative and Noncollocated Case [Elektronische Daten] [B. Chentouf, J. Wang] In this paper, we consider a one-dimensional dam-river system, described by a diffusive-wave equation and often used in hydraulic engineering to model the dynamic behavior of the unsteady flow in a river for shallow water when the flow variations are not important. We propose an integral boundary control which leads to a nondissipative closed-loop system with noncollocated actuators and sensors; hence, two main difficulties arise: first, how to show the C 0-semigroup generation and second, how to achieve the stability of the system. To overcome this situation, the Riesz basis methodology is adopted to show that the closed-loop system generates an analytic semigroup. Concerning the stability, the shooting method is applied to assign the spectrum of the system in the open left-half plane and ensure its exponential stability as well as the output regulation. Numerical simulations are presented for a family of system parameters. Springer Science+Business Media, LLC, 2007 Diffusive-wave equations nationallicence Analytic semigroups nationallicence Riesz spectral operators nationallicence Stability nationallicence Robust output regulation nationallicence Chentouf B. Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Sultanate of Oman, United Arab Emirates aut Wang J. Department of Mathematics, Beijing Institute of Technology, 100081, Beijing, China aut Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 134/2(2007-08-01), 223-239 0022-3239 134:2<223 2007 134 10957 https://doi.org/10.1007/s10957-007-9223-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9223-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chentouf B. Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Sultanate of Oman, United Arab Emirates aut NATIONALLICENCE 700 1- Wang J. Department of Mathematics, Beijing Institute of Technology, 100081, Beijing, China aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 134/2(2007-08-01), 223-239 0022-3239 134:2<223 2007 134 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer