Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback

20 Nov 2019 Zhang Christophe LJLL, CaGE

We use the backstepping method to study the stabilization of a 1-D linear transport equation on the interval (0, L), by controlling the scalar amplitude of a piecewise regular function of the space variable in the source term. We prove that if the system is controllable in a periodic Sobolev space of order greater than 1, then the system can be stabilized exponentially in that space and, for any given decay rate, we give an explicit feedback law that achieves that decay rate...

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • OPTIMIZATION AND CONTROL