Stability of intervalwise receding horizon controls for linear continuous time-varying systems

In this paper, intervalwise receding horizon controls (IRHC) are proposed for linear continuous time-varying systems. Terminal inequality conditions are suggested for those systems under which the closed-loop stability is guaranteed with the proposed IRHC. The results in this paper are also applicable to periodic and time-invariant systems which belong to the class of time-varying systems. In addition, the previous results of pointwise receding horizon controls (PRHC) for linear systems and intervalwise receding horizon controls for linear periodic systems are handled as special cases of the results in this paper.