Exact boundary controllability for quasilinear hyperbolic systems

Ta-Tsien Li , Bopeng Rao (1)

1 IRMA - Institut de Recherche Mathématique Avancée

Using a result on the existence and uniqueness of the semiglobal C 1 solution to the mixed initial-boundary value problem for first order quasi-linear hyperbolic systems with general nonlinear boundary conditions, we establish the exact boundary controllability for quasi-linear hyperbolic systems if the C 1 norm of initial and final states is small enough.

Domaines: Optimisation et contrôle [math.OC]; Equations aux dérivées partielles [math.AP]

Ta-Tsien Li, Bopeng Rao. Exact boundary controllability for quasilinear hyperbolic systems. SIAM Journal on Control and Optimization, 2003, 41, num. 6, pp.1748-1755. ⟨10.1137/S0363012901390099⟩. ⟨hal-00083875⟩