### Abstract

We consider a sequence of optimal control problems with endpoint constraints and nonsmooth terminal costs for discretized systems. The goal is to obtain necessary optimality conditions in terms of the approximate maximum principle for discrete approximations with no covexity assumptions. We construct several striking examples on the violation of the approximate maximum principle for smooth and nonsmooth problems and then establish this principle in the new superdifferential form for ordinary and delay systems.

Original language | English (US) |
---|---|

Pages (from-to) | 4345-4350 |

Number of pages | 6 |

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

Volume | 4 |

State | Published - 2002 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

### Cite this

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

*4*, 4345-4350.

}

*Proceedings of the IEEE Conference on Decision and Control*, vol. 4, pp. 4345-4350.

**The approximate maximum principle for constrained control systems.** / Mordukhovich, Boris S.; Shvartsman, Ilya.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The approximate maximum principle for constrained control systems

AU - Mordukhovich, Boris S.

AU - Shvartsman, Ilya

PY - 2002

Y1 - 2002

N2 - We consider a sequence of optimal control problems with endpoint constraints and nonsmooth terminal costs for discretized systems. The goal is to obtain necessary optimality conditions in terms of the approximate maximum principle for discrete approximations with no covexity assumptions. We construct several striking examples on the violation of the approximate maximum principle for smooth and nonsmooth problems and then establish this principle in the new superdifferential form for ordinary and delay systems.

AB - We consider a sequence of optimal control problems with endpoint constraints and nonsmooth terminal costs for discretized systems. The goal is to obtain necessary optimality conditions in terms of the approximate maximum principle for discrete approximations with no covexity assumptions. We construct several striking examples on the violation of the approximate maximum principle for smooth and nonsmooth problems and then establish this principle in the new superdifferential form for ordinary and delay systems.

UR - http://www.scopus.com/inward/record.url?scp=0036995150&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036995150&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0036995150

VL - 4

SP - 4345

EP - 4350

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

SN - 0191-2216

ER -