Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems

Abstract

This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary and sufficient conditions for approximate and exact controllability, expressed in the frequency domain. The results are applied to flows in networks.

References in corpus (6)

• Stability of non-autonomous difference equations with applications to transport and wave propagation on networks
• Null-controllability of linear hyperbolic systems in one dimensional space
• Relative controllability of linear difference equations
• Exact and Positive Controllability of Boundary Control Systems
• Approximate and exact controllability of linear difference equations
• The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws