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This primary purpose of this paper is to succinctly state a number ofverifiable and tractable sufficient conditions under which a particular classof conservative signal processing structures may be readily used to solve acompanion class of constraint satisfaction problems using both synchronous andasynchronous implementation protocols. In particular, the mentioned class ofstructures is shown to have desirable convergence and robustness propertieswith respect to various uncertainties involving communication and processingdelays. Essential ingredients to the arguments herein involve blending togetherfunctional composition methods, conservation principles, asynchronous signalprocessing implementation protocols, and methods of homotopy. Numericalexperiments complement the theoretical presentation and connections tooptimization theory are made.

Signal Processing Structures for Solving Conservative Constraint Satisfaction Problems