Deterministic Disturbance Modeling Framework for Residual-Envelope Fusion Systems

This paper establishes a Deterministic Disturbance Modeling Framework (DDMF) for residual-envelope fusion systems, including Drift--Slew Fusion Bootstrap (DSFB) and Hierarchical Residual-Envelope Trust (HRET). Disturbances are defined as discrete-time signal classes without probabilistic assumptions and are rigorously categorized into pointwise-bounded, drift-type, slew-rate-bounded, impulsive, and group-correlated structures. Envelope-admissibility is formalized through boundedness of the residual-envelope recursion, and explicit conditions are provided under which disturbances induce bounded response, sustained suppression, or exponential recovery of trust weights. The framework separates admissible and…