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रेखीय द्विघात नियामक (Linear Quadratic Regulator - LQR)×हैमिल्टन-जैकोबी-बेलमैन समीकरण×
क्षेत्रनियंत्रण सिद्धांतनियंत्रण सिद्धांत
परिवारMachine learningMachine learning
उद्भव वर्ष19601957
प्रवर्तकRudolf KalmanRichard Bellman
प्रकारalgorithmalgorithm
मौलिक स्रोतKalman, R. E. (1960). Contributions to the theory of optimal control. Boletin de la Sociedad Matematica Mexicana, 5(2), 102-119. link ↗Bellman, R. (1957). Dynamic Programming. Princeton University Press. link ↗
उपनामLQR, Linear Quadratic Optimal ControlHJB Equation, Bellman Equation, Dynamic Programming
संबंधित43
सारांशThe Linear Quadratic Regulator (LQR) is a classical optimal control algorithm that computes a linear feedback law to minimize a quadratic cost function for a linear dynamical system. Introduced by Kalman in 1960, LQR provides a provably optimal, closed-form solution for linear systems and remains fundamental in control theory, robotics, and aerospace applications because of its theoretical elegance and computational efficiency.The Hamilton-Jacobi-Bellman (HJB) equation is a partial differential equation characterizing the optimal cost-to-go function in dynamic programming. Developed by Bellman in 1957, HJB provides both necessary and sufficient conditions for optimality, enabling elegant theoretical analysis and numerical solutions for optimal control problems. HJB is fundamental to reinforcement learning, approximate dynamic programming, and real-time control.
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ScholarGateविधियों की तुलना करें: Linear Quadratic Regulator · Hamilton-Jacobi-Bellman Equation. 2026-06-19 को यहाँ से प्राप्त https://scholargate.app/hi/compare