This paper gives sufficient conditions for a class of bang-bang extremals with multiple switches to be locally optimal in the strong topology. The conditions are the natural generalizations of those considered in [A. A. Agrachev, G. Stefani, and P. Zezza, SIAM J. Control Optim., 41 (2002), pp. 991–1014], [L. Poggiolini, Rend. Semin. Mat. Univ. Politec. Torino, 64 (2006), pp. 1–23], and [L. Poggiolini and G. Stefani, Systems Control Lett., 53 (2004), pp. 269–279]. We require both the strict bang-bang Legendre condition and the second order conditions for the finite dimensional problem obtained by moving the switching times of the reference trajectory.
Strong local optimality for a bang-bang trajectory in a Mayer problem / L. Poggiolini; M. Spadini. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - STAMPA. - 49:(2011), pp. 140-161. [10.1137/090771405]
Strong local optimality for a bang-bang trajectory in a Mayer problem
POGGIOLINI, LAURA;SPADINI, MARCO
2011
Abstract
This paper gives sufficient conditions for a class of bang-bang extremals with multiple switches to be locally optimal in the strong topology. The conditions are the natural generalizations of those considered in [A. A. Agrachev, G. Stefani, and P. Zezza, SIAM J. Control Optim., 41 (2002), pp. 991–1014], [L. Poggiolini, Rend. Semin. Mat. Univ. Politec. Torino, 64 (2006), pp. 1–23], and [L. Poggiolini and G. Stefani, Systems Control Lett., 53 (2004), pp. 269–279]. We require both the strict bang-bang Legendre condition and the second order conditions for the finite dimensional problem obtained by moving the switching times of the reference trajectory.File | Dimensione | Formato | |
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