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math.OC2025
Passive and reciprocal linear time-and-space-invariant systems
Brayan M. Shali, Rodolphe Sepulchre
Reciprocity is a fundamental symmetry property observed across many physical domains, including acoustics, elasticity, electromagnetics, and thermodynamics. In systems and control…
math.OC2025
Linear time-and-space-invariant relaxation systems
Tihol Ivanov Donchev, Brayan M. Shali, Rodolphe Sepulchre
This paper generalizes the physical property of relaxation from linear time-invariant (LTI) to linear time-and-space-invariant (LTSI) systems. It is shown that the defining feature…