This note focuses on the study of robust H-sub-infinity control design for a kind of distributed parameter systems in which time-varying norm-bounded uncertainty enters the state and input operators. Through a fixed Lyapunov function, we present a state feedback control which stabilizes the plant and guarantees an H-sub-infinity norm bound on disturbance attenuation for all admissible uncertainties. In the process, we generalize some known results for finite dimensional linear systems.
@article{urn:eudml:doc:40596, title = {Quadratic stabilization of distributed parameter systems with norm-bounded time-varying uncertainty.}, journal = {Collectanea Mathematica}, volume = {48}, year = {1997}, pages = {253-264}, zbl = {0916.93067}, mrnumber = {MR1475801}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40596} }
Chen, Wanyi; Tu, Fengsheng. Quadratic stabilization of distributed parameter systems with norm-bounded time-varying uncertainty.. Collectanea Mathematica, Tome 48 (1997) pp. 253-264. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40596/