Optimality Conditions for Semilinear Hyperbolic Systems with Distributed Control

References

• Barbu , V. and Pavel , N. H. 1996 . Periodic optimal control in Hilbert space . Appl. Math. Optim. , 33 : 169 – 188 .
   Web of Science ®Google Scholar
• Barbu , V. 1993 . Analysis and Control of Nonlinear Infinite-dimensional Systems New York , NY : Academic Press .
   Google Scholar
• Bergounioux , M. 1995 . Distributed and initial control of similinear, parabolic systems . Optimization , 33 : 339 – 358 .
   Google Scholar
• Bergounioux , M. and Tiba , D. 1996 . General optimality conditions for constrained convex control problems . SIAM J. Contorl Optim. , 34 ( 2 ) : 698 – 711 .
   Web of Science ®Google Scholar
• Casas , E. 1993 . Boundary control of semilinear elliptic equations with pointwise state constraints . SIAM J. Control Optim. , 31 : 993 – 1006 .
   Web of Science ®Google Scholar
• Ha , J. H. and Nakagiri , S. I. 1998 . Existence and regularity of weak solutions for semilinear second order evolution equations . Funkcial. Ekvac. , 41 : 1 – 24 .
   Google Scholar
• Lions , J. L. 1969 . Quelques Méthodes de Résolution de Problèmes Aux Limites Non Linéares Paris : Dunod .
   Google Scholar
• Lions , J. L. 1992a . Contrôle à Moindres Regrets des Systèmes Distributés . Comptes Rendus de l'Acdémie des Sciences, t. , 315 ( Série I ) : 1253 – 1257 .
   Google Scholar
• Lions , J. L. 1992b . Sentinelles Pour Les Systèmes Distribuées à Données Incomplètes Paris : Masson .
   Google Scholar
• Lions , J. L. and Magnes , E. 1968 . Problémes Aux Limites Non Homogènes et Applications Paris : Dunod .
   Google Scholar
• Papageorgiou , N. S. 1992 . On the optimal control of strongly nonlinear evolution equations . J. Math. Anal. Appl. , 164 : 83 – 103 .
   Web of Science ®Google Scholar
• Park , J. Y. , Ha , J. H. and Han , H. K. 1997 . Idetification problem for damping parameters in linear damped second order systems . J. Korea Math. Soc. , 34 ( 4 ) : 1 – 14 .
   Google Scholar
• Park , J. Y. , Kang , Y. H. and Lee , M. J. 2001 . Optimal control problem for the damped nonlinear hyperbolic systems 27 – 36 . Kokyuroku : RIMS . 1187
   Google Scholar
• Tröltzsch , T. 1983 . A modification of the Zowe and Kurcyusz regularity condition with application, to the optimal control of Noether equations with constraints on the control and the state . Math. Operation for Sch. Statist., Ser. Optimization , 14 ( 2 ) : 245 – 253 .
   Google Scholar