We present second-order Extended Sufficiency Conditions applicable without Strict Legendre Conditions and without local controllability assumption also in the frame of saturated and bang–bang control. We provide a procedure to maximize the interval where the Sufficient Conditions can be applied using a Riccati Matrix Equation and compare this procedure with the classic conjugate point condition. Applications to Finite and Infinite Thrust Orbital Transfer cases are given at the end.
Second-order Sufficient Conditions of Strong Minimality with applications to Orbital Transfers
Springer Optimization
2022-12-30
29 pages
Article/Chapter (Book)
Electronic Resource
English
Sufficient conditions , Bang–bang control , Maximum principle , Orbital transfers Mathematics , Optimization , Aerospace Technology and Astronautics , Artificial Intelligence , Operations Research, Management Science , Dynamical Systems and Ergodic Theory , Vibration, Dynamical Systems, Control , Mathematics and Statistics
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