Well-Posedness and Stability of Infinite-Dimensional Linear Port-Hamiltonian Systems with Nonlinear Boundary Feedback

摘要

Boundary feedback stabilisation of linear port-Hamiltonian systems on aninterval is considered. Generation and stability results already known forlinear feedback are extended to nonlinear dissipative feedback, both to staticfeedback control and dynamic control via an (exponentially stabilising)nonlinear controller. A design method for nonlinear controllers of linearport-Hamiltonian systems is introduced. As a special case the Euler-Bernoullibeam is considered.