Necessary Conditions for Optimal Impulsive Control Problems
SIAM Journal on Control and Optimization
Bolza Problems with General Time Constraints
SIAM Journal on Control and Optimization
A Nondegenerate Maximum Principle for the Impulse Control Problem with State Constraints
SIAM Journal on Control and Optimization
Modeling and optimal control of hybrid rigidbody mechanical systems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
CSECS'11/MECHANICS'11 Proceedings of the 10th WSEAS international conference on Circuits, Systems, Electronics, Control & Signal Processing, and Proceedings of the 7th WSEAS international conference on Applied and Theoretical Mechanics
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In this work, necessary conditions for the impulsive time-optimal control of finite-dimensional Lagrangian systems are stated. The conditions are obtained by the application sub-differential calculus techniques to extended-valued lower semi-continuous functionals. The considered functional is a generalized Bolza functional that is evaluated on multiple intervals. Contrary to the approach in literature so far, the instant of possibly impulsive transition is considered as an instant of Lebesgue measure zero. This approach is in comparison to other impulsive necessary conditions consistent with different hybrid system modeling methods in which transitions happen instantaneously. The necessary conditions provide necessary criteria for the determination of optimal transition times and locations.