Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria
Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria
Let $ A $ and $ B $ be invariant linear operators with respect to a decomposition $ \{H_{j}\}_{j\in \mathbb{N}} $ of a Hilbert space $ \mathcal{H} $ in subspaces of finite dimension. We give necessary and sufficient conditions for the controllability of the Cauchy problem$ u_t = Au+Bv, \, …