Optimization theory is applied to a forced-convection two-phase flow system with heat addition described by a second-order system of differential equations. The mathematical model describes a physical system in which low-frequency pressure-drop oscillations occur, and these oscillations may either grow or decay with time depending on whether the system is stable. The dynamic programming approach is applied to obtain a suboptimal feedback control system which is very stable and exhibits no oscillatory behavior. A system is synthesized whereby pressure and temperature fluctuations are used to control heat-input fluctuations in order to provide stability.

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