Journal of Nonlinear Dynamics and Applications | Volume 2, Issue 1: 47-60, 2026 | DOI: 10.62762/JNDA.2026.759291
Abstract
This study examines the problem of decentralized non-fragile dissipative control for a category of fractional-order linear uncertain large-scale systems. We assume that the subsystems uncertainty is norm-bounded and time-varying. Furthermore, we assume that the state-feedback gains for subsystems of the fractional-order large-scale system have norm-bounded controller gain variations. To achieve our goal, we introduce the concept of $(S, Q, R)-$dissipativity for fractional-order interconnected systems. By using this definition and mathematical transformations with fractional calculus, a decentralized non-fragile state-feedback controller is designed so that the closed-loop interconnected sys... More >
Graphical Abstract