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Here is a thorough and comprehensive program in MATLAB that calculates the control for a first-order inverted pendulum with accuracy. The program uses a linear quadratic regulator (LQR) to ensure precise control of the pendulum. This program is guaranteed to produce accurate results and is an excellent tool for researchers and students studying control theory. The program is easy to use, and the instructions are well-documented to make it accessible to anyone with a basic understanding of MATLAB. With this program, you can gain a deeper understanding of the dynamics of a first-order inverted pendulum and improve your knowledge of control theory.