We give regularity and second order sufficient condition for (time, state)–local optimality and state–local optimality of a normal Pontryagin extremal in the minimum time problem, and describe the Hamiltonian approach to prove these different kinds of strong local optimality.
ON LOCAL STATE OPTIMALITY OF PONTRYAGIN EXTREMALS IN THE MINIMUM TIME PROBLEM / L. Poggiolini; M. Spadini; G. Stefani. - ELETTRONICO. - (2008), pp. 242-247. ( 8th Portuguese Conference on Automatic Control UTAD, Universidade de Trás-os-Montes e Alto Douro, Vila Real, Portugal 21-23 July 2008).
ON LOCAL STATE OPTIMALITY OF PONTRYAGIN EXTREMALS IN THE MINIMUM TIME PROBLEM
POGGIOLINI, LAURA;SPADINI, MARCO;STEFANI, GIANNA
2008
Abstract
We give regularity and second order sufficient condition for (time, state)–local optimality and state–local optimality of a normal Pontryagin extremal in the minimum time problem, and describe the Hamiltonian approach to prove these different kinds of strong local optimality.
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