Hybrid necessary principle

Mauro Garavello; Benedetto Piccoli

doi:10.1137/S0363012903416219

Hybrid necessary principle

Mauro Garavello, Benedetto Piccoli

Research output: Contribution to journal › Article › peer-review

111 Scopus citations

Abstract

We consider a hybrid control system and general optimal control problems for this system. We suppose that the switching strategy imposes restrictions on control sets and we provide necessary conditions for an optimal hybrid trajectory, stating a hybrid necessary principle (HNP). Our result generalizes various necessary principles available in the literature.

Original language	English (US)
Pages (from-to)	1867-1887
Number of pages	21
Journal	SIAM Journal on Control and Optimization
Volume	43
Issue number	5
DOIs	https://doi.org/10.1137/S0363012903416219
State	Published - 2005
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Optimization
Applied Mathematics

Keywords

Necessary conditions
Optimal control
Switching strategy

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10.1137/S0363012903416219

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T1 - Hybrid necessary principle

AU - Garavello, Mauro

AU - Piccoli, Benedetto

PY - 2005

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KW - Necessary conditions

KW - Optimal control

KW - Switching strategy

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SP - 1867

EP - 1887

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

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Hybrid necessary principle

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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