Chapters 2 – 8 provide appropriate finite-time sliding mode control (SMC) design scheme for Markov jump systems (MJSs) under physical or/and communication constraints, in which the solving algorithms on controller gains are derived by a potential setting that the transition rates (TRs) are priori. In this chapter, we will break the traditional setting and explore the effects of TRs on the transient performance of MJSs. To this end, this chapter investigate the problem of stochastic finite-time boundedness (SFTB) for MJSs by synthesizing the sliding mode controller and the TR matrix. First, for a unforced uncertain MJS, an existence criterion on the TR matrix is derived to guarantee the SFTB performance. Then, for the forced uncertain MJS, a hybrid design scheme integrating the TR matrix with the sliding mode controller is developed such that the resultant closed-loop MJS is SFTB over both reaching phase and sliding motion phase. The design framework combining existence criterion and hybrid control scheme is formed for the TR synthesization. Next, further considering a kind of physical constraint for the forced MJS, i.e., actuator saturation, the sliding mode controller is constructed to reduce the effects of actuator saturation. As an extended application, the hybrid design scheme of the TR matrix and sliding mode controller is provided, establishing sufficient conditions to ensure that the closed-loop system satisfies the SFTB while approaching both the reaching phase and sliding motion phase simultaneously. Finally, some examples are given to illustrate the proposed TR design method and hybrid design method.