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[02358] Minimal time for boundary controllability of linear hyperbolic balance laws

• Session Time & Room : 5C (Aug.25, 13:20-15:00) @A207
• Type : Contributed Talk
• Abstract : The purpose of this talk is to present our recent results on minimal control time for null and exact boundary controllability of 1-D linear hyperbolic balance laws with arbitrary internal and boundary coupling. We will show explicit and easy-to-compute formulas to completely characterize such critical quantities, which can be strictly smaller than the classical uniform lower bound. The difference between these two kinds of controllability will also be discussed.
• Classification : 93B05, 35L04, Control of Partial Differential Equations; Boundary Controllability; Hyperbolic system involving balance laws (with source term (i.e. internal coupling)) and Conservation laws (without source term); Optimal control time
• Format : Talk at Waseda University
• Author(s) :
  • Long Hu (Shandong University)
  • Guillaume Olive (Jagiellonian University)