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 inadmissible disturbance regimes and provides the disturbance-side theoretical foundation required for deterministic residual-envelope fusion architectures. The framework applies only to disturbances that satisfy the explicitly defined deterministic admissibility conditions and does not provide guarantees under unbounded or statistically modeled noise regimes.