This paper studies the stabilization for a kind of linear and impulse control system in finite-dimensional space where instants appear periodically. We present several characterizations on stabilization; show how to design feedback laws, provide locations ensure stabilization. In proofs these results, we set up discrete LQ problem, derive dynamic programming principle, build variant Riccati's e...

when A is a continuous periodic n× n matrix function of t; i.e., when there is a constant T > 0 such that A(t + T ) = A(t) for every t ∈ R. When that condition is satisfied, we say, more precisely, that A is T -periodic. If T is the smallest positive number for which this condition holds, we say that T is the minimal period of A. Let A be T -periodic, and let X(t) be a fundamental matrix for (1...