Double-wall structures are widely utilized in a diverse range of engineering applications. Despite extensive investigations into the vibroacoustic behavior of single-walled structures, the extension of such analyses to double-wall configurations is associated with substantially increased complexity, mainly due to multiple inter-wall acoustic reflections and strong fluid-structure coupling. To ensure alignment and robustness, these structures often employ mechanical interconnections between the walls. While essential for structural integrity, these links introduce additional complexity into the analytical description of the system's vibroacoustics. The primary objective of this PhD thesis is to develop analytical models for describing and controlling the vibroacoustic behavior of double-shell structures inter-coupled through mass, spring, and damper elements. The interaction between the acoustic waves and double-shell structures is analyzed in one-, two-, and three-dimensional configurations, considering sound wave propagation across beams, plates, and shells that represent the most commonly used engineering structures. Detailed analyses for each configuration are presented in dedicated chapters. Active structural acoustic control and active noise control strategies have been implemented to realize efficient sound transmission control through the double-wall structures. To achieve this goal, various control components, including vibration absorbers, electrorheological/piezoelectric actuators, electrical shunt circuits and semi-active dampers, as well as corona discharge transducers are integrated into the studied systems' configurations. Depending on the application, the actuators in each configuration operate under carefully formulated control laws tailored to the intended objectives. The core of the studied problems is based on the assumptions of linear wave propagation and structural deformation, Maxwell's electrodynamic relations, cold plasma physics, the Kelvin-Voigt viscoelastic damping model, and modal coupling theory. The vibroacoustic equations are coupled through fluid-structure compatibility conditions. Numerical optimization is carried out following the analytical modeling to refine system parameters and achieve higher performance efficiency. Validity of the developed dynamic models are confirmed through comparison with the results obtained from finite element simulations as well as the available data in the literature. Throughout the thesis, dynamic phenomena such as acoustic wave propagation and radiation, the impact of acoustic shocks on shells, reflection, transmission, diffraction, and focal point formation together with structural displacement and stress concentration are examined. The results presented in the thesis demonstrate the effectiveness of the designed methodologies in controlling the vibroacoustic responses of double-wall structures, while laying the foundation for practical implementations in a variety of engineering applications.