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. (Intervento presentato al convegno 8th Portuguese Conference on Automatic Control tenutosi a UTAD, Universidade de Trás-os-Montes e Alto Douro, Vila Real, Portugal nel 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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