Weak maximum principle for optimal control problems with mixed constraints
Nonlinear Analysis: Theory, Methods & Applications
Optimal Control Problems with Mixed Constraints
SIAM Journal on Control and Optimization
An Extension of the Schwarzkopf Multiplier Rule in Optimal Control
SIAM Journal on Control and Optimization
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This paper is devoted to the study of necessary or sufficient second-order conditions for a weak local minimum in an optimal control problem. The problem is stated in the Mayer form and includes equality constraints both on the endpoints and on the state-control trajectory. The second-order conditions are stated through an associated linear--quadratic problem.