Optimization problems for a class of switched Pritchard-Salamon systems with applications to moving actuators

This paper provides applicable methodologies for optimization problems of a spatially moving (or scanning) actuator within the theoretical framework of switched Pritchard-Salamon systems. This is a class of distributed parameter systems that allows for unbounded input and output operators. Two optimization algorithms are proposed: the first algorithm solves an optimal control problem on a finite-time interval; using the second algorithm one can solve a robust control problem. The algorithms are then applied to a hyperbolic switched system. Some open problems are also identified.