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Regulatorul Liniar Pătratic×Principiul Maximului al lui Pontryagin×
DomeniuTeoria controluluiTeoria controlului
FamilieMachine learningMachine learning
Anul apariției19601962
Autorul originalRudolf KalmanLev Pontryagin
Tipalgorithmalgorithm
Sursa seminalăKalman, R. E. (1960). Contributions to the theory of optimal control. Boletin de la Sociedad Matematica Mexicana, 5(2), 102-119. link ↗Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., & Mischenko, E. F. (1962). The Mathematical Theory of Optimal Processes. John Wiley & Sons. link ↗
Denumiri alternativeLQR, Linear Quadratic Optimal ControlPMP, Optimal Control, Costate Method
Înrudite43
RezumatThe 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 Pontryagin Maximum Principle (PMP) is a fundamental theorem in optimal control theory providing necessary conditions for optimality of a control trajectory. Published by Lev Pontryagin in 1962, PMP generalizes the calculus of variations to control problems with constraints and is the theoretical foundation enabling solution of complex trajectory optimization problems from spacecraft missions to industrial process optimization.
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ScholarGateCompară metode: Linear Quadratic Regulator · Pontryagin Maximum Principle. Preluat la 2026-06-19 de pe https://scholargate.app/ro/compare