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| Αρχή του Μέγιστου του Pontryagin× | Ρυθμιστής Γραμμικός Τετραγωνικός× | |
|---|---|---|
| Πεδίο | Θεωρία Ελέγχου | Θεωρία Ελέγχου |
| Οικογένεια | Machine learning | Machine learning |
| Έτος προέλευσης≠ | 1962 | 1960 |
| Δημιουργός≠ | Lev Pontryagin | Rudolf Kalman |
| Τύπος | algorithm | algorithm |
| Θεμελιώδης πηγή≠ | Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., & Mischenko, E. F. (1962). The Mathematical Theory of Optimal Processes. John Wiley & Sons. link ↗ | Kalman, R. E. (1960). Contributions to the theory of optimal control. Boletin de la Sociedad Matematica Mexicana, 5(2), 102-119. link ↗ |
| Εναλλακτικές ονομασίες≠ | PMP, Optimal Control, Costate Method | LQR, Linear Quadratic Optimal Control |
| Συναφείς≠ | 3 | 4 |
| Σύνοψη≠ | 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. | The 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. |
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