System stability analysis for decentralized singularly perturbed systems

Stability analysis of decentralized singularly perturbed unified systems is investigated by exploring bound estimates for the solution of the Lyapunov matrix equation and robust stability bounds with system uncertainties. Investigating robustness of unified bounds for stability is performed based on designing optimal state and output feedback controllers via Lyapunov stability theory. Stabilizing the system is also performed on continuous and discrete-time systems. Bound estimates for the solution of unified Lyapunov matrix equation are developed. The upper unified bounds are derived based on the unified Lyapunov matrix equation by applying similarity transformation.; Results for bound estimates and stability bounds show that the description of unified systems provides major advantages compared with that of discrete-time systems.