Neural network-based optimization and control have gradually supplanted first-principles model-based approaches in energy and manufacturing systems due to their efficient, data-driven process modeling that requires fewer resources. However, their non-convex nature significantly slows down the optimization and control processes, limiting their application in real-time decision-making processes. To address this challenge, we propose a novel Input Convex Long Short-Term Memory (ICLSTM) network to enhance the computational efficiency of neural network-based optimization. Through two case studies employing real-time neural network-based optimization for optimizing energy and chemical systems, we demonstrate the superior performance of ICLSTM-based optimization in terms of runtime. Specifically, in a real-time optimization problem of a real-world solar photovoltaic (PV) energy system at LHT Holdings in Singapore, ICLSTM-based optimization achieved an 8-fold speedup compared to conventional LSTM-based optimization. These results highlight the potential of ICLSTM networks to significantly enhance the efficiency of neural network-based optimization and control in practical applications. Source code is available at https://github.com/killingbear999/ICLSTM.

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