Dynamical systems; stability by Liapunov's direct method; controllability and eigenvalue assignment for autonomous linear systems; linear-quadratic regulator, time optimal control, Pontryagin maximum principle, dynamic programming; applications in engineering, economics and resource management. Recommended pre-requisites: MATH 402, and one of (a) a score of 68% or higher in one of MATH 301, MATH 320, or (b) a score of 80% or higher in MATH 319. [3-0-0]
Dynamical systems; stability by Liapunov's direct method; controllability and eigenvalue assignment for autonomous linear systems; linear-quadratic regulator, time optimal control, Pontryagin maximum principle, dynamic programming; applications in engineering, economics and resource management. Recommended pre-requisites: MATH 402, and one of (a) a score of 68% or higher in one of MATH 301, MATH 320, or (b) a score of 80% or higher in MATH 319. [3-0-0]
