In this study, we introduce a decentralized control strategy for regulating the position of a series of mass-spring-damper systems characterized by parameters that change over time. We start with establishing a dynamic model for each interconnected subsystem, leading to a time-varying model as the outcome. Given the focus on optimal optimization challenges within time-varying systems, it is essential to determine the solution to the time-varying Riccati differential equation in advance. We derive a mathematical proof that the entire system is exponentially stable, ensuring a predefined level of stability. To validate our approach, computer simulations were performed on a three-mass system that is interconnected and experiences time-varying parameters. The simulation outcomes indicate that the positions of all masses revert to their initial states at an exponential rate, thereby confirming the practicality of the control method we have proposed.