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Aseev, S.M. and Kryazhimskii, A.V. (2004) The Pontryagin Maximum Principle and Transversality Conditions for a Class of Optimal Control Problems with Infinite Time Horizons. SIAM Journal on Control and Optimization, 43, 1094-1119.

has been cited by the following article:

• TITLE: A Maximum Principle for Smooth Infinite Horizon Optimal Control Problems with State Constraints and with Terminal Constraints at Infinity

  AUTHORS: Atle Seierstad

  KEYWORDS: Infinite Horizon, Optimal Control, State Constraints

  JOURNAL NAME: Open Journal of Optimization, Vol.4 No.3, September 29, 2015

  ABSTRACT: Necessary conditions for optimality are proved for smooth infinite horizon optimal control problems with unilateral state constraints (pathwise constraints) and with terminal conditions on the states at the infinite horizon. The aim of the paper is to obtain strong necessary conditions including transversality conditions at infinity, which in many cases lead to a set of candidates for optimality containing only a few elements, similar to what is the case in finite horizon problems. However, strong growth conditions are needed for the results to hold.