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Programming an Analog Computer for a Large Class of Trajectories
Technical report TR-1146 from Harry Diamond Laboratories (U.S. Army Materiel Command), dated 20 June 1963. Extends the negative gradient (steepest descent / transpose matrix) method to stable analog computer programming of a broad class of time-varying trajectory problems defined by coupled position and velocity vector equations. Defines an augmented velocity function vector, partitions the problem into reset-mode initialization and compute-mode integration, derives the characteristic matrix differential equation, and establishes stability conditions involving time scaling and gain reduction.
trajectory computationgradient methodanalog programmingstability analysis