### Abstract

We prove the Minimum Principle for an optimal impulsive control problem. This result is a generalization of the well-known Pontryagin Minimum Principle, and yields a necessary condition for an optimal impulsive control strategy that minimizes an associated cost. Furthermore, we establish an explicit connection between the value function arising from the Dynamic Programming Principle approach and the costate arising from the Minimum Principle approach for the impulsive optimal control problem.

Original language | English (US) |
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Pages (from-to) | 3569-3574 |

Number of pages | 6 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Volume | 4 |

State | Published - Dec 1 2001 |

Event | 40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: Dec 4 2001 → Dec 7 2001 |

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### ASJC Scopus subject areas

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*,

*4*, 3569-3574.

**The minimum principle for deterministic impulsive control systems.** / Chudoung, Jerawan; Beck, Carolyn.

Research output: Contribution to journal › Conference article

*Proceedings of the IEEE Conference on Decision and Control*, vol. 4, pp. 3569-3574.

}

TY - JOUR

T1 - The minimum principle for deterministic impulsive control systems

AU - Chudoung, Jerawan

AU - Beck, Carolyn

PY - 2001/12/1

Y1 - 2001/12/1

N2 - We prove the Minimum Principle for an optimal impulsive control problem. This result is a generalization of the well-known Pontryagin Minimum Principle, and yields a necessary condition for an optimal impulsive control strategy that minimizes an associated cost. Furthermore, we establish an explicit connection between the value function arising from the Dynamic Programming Principle approach and the costate arising from the Minimum Principle approach for the impulsive optimal control problem.

AB - We prove the Minimum Principle for an optimal impulsive control problem. This result is a generalization of the well-known Pontryagin Minimum Principle, and yields a necessary condition for an optimal impulsive control strategy that minimizes an associated cost. Furthermore, we establish an explicit connection between the value function arising from the Dynamic Programming Principle approach and the costate arising from the Minimum Principle approach for the impulsive optimal control problem.

UR - http://www.scopus.com/inward/record.url?scp=0035712602&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035712602&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0035712602

VL - 4

SP - 3569

EP - 3574

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

SN - 0191-2216

ER -