Strong Optimality for a Bang-Bang Trajectory
نویسندگان
چکیده
منابع مشابه
Strong Optimality for a Bang-Bang Trajectory
In this paper we give sufficient conditions for a bang-bang regular extremal to be a strong local optimum for a control problem in the Mayer form; strong means that we consider the C0 topology in the state space. The controls appear linearly and take values in a polyhedron, and the state space and the end point constraints are finite-dimensional smooth manifolds. In the case of bang-bang extrem...
متن کاملStrong Local Optimality for a Bang-Bang Trajectory in a Mayer Problem
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 the ones considered in [5, 13] and [16]. 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 ...
متن کاملBang-bang trajectories with a double switching time: sufficient strong local optimality conditions
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 the ones considered in [5, 14] and [16]. 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 ...
متن کاملSecond order optimality conditions for bang – bang control problems
Second order necessary and sufficient optimality conditions for bang–bang control problems have been studied in Milyutin, Osmolovskii (1998). These conditions amount to testing the positive (semi–)definiteness of a quadratic form on a critical cone. The assumptions are appropriate for numerical verification only in some special cases. In this paper, we study various transformations of the quadr...
متن کاملOn strong optimality of bang-bang Pontryagin extremals with multiple switches
This paper is an attempt to give sufficient conditions for a bang-bang extremal with multiple switches to be locally optimal in the strong topology. The conditions are the natural generalizations of the ones considered in [2, 3] and [4]. We require both the strict bang-bang Legendre condition, which takes a different form according to the multiplicity of the considered switching time, a non deg...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2002
ISSN: 0363-0129,1095-7138
DOI: 10.1137/s036301290138866x