A general linear systems theory on time scales: transforms, stability, and control.

Next, we investigate applications of the transform to linear time invariant systems and before discussing linear time varying systems. The focus is on fundamental notions of linear system control such as controllability, observability, and realizability. Sufficient conditions for a system to possess each of these properties are given in the time varying case, while these same criteria often become necessary and sufficient in the time invariant case. Finally, several notions of stability are discussed, and linear state feedback is explored.