The minimum principle for deterministic impulsive control systems

Jerawan Chudoung, Carolyn Beck

Research output: Contribution to journalConference article

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 languageEnglish (US)
Pages (from-to)3569-3574
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
StatePublished - Dec 1 2001
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: Dec 4 2001Dec 7 2001

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Minimum Principle
Impulsive Control
Impulsive Systems
Control System
Control systems
Optimal Control
Dynamic Programming Principle
Dynamic programming
Value Function
Control Strategy
Optimal Control Problem
Control Problem
Minimise
Necessary Conditions
Costs

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

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

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 4, 01.12.2001, p. 3569-3574.

Research output: Contribution to journalConference article

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