Advances in optimal control of differential systems with the state suprema

Erik I. Verriest, Vadim Azhmyakov

Resultado de la investigación: Contribución a una conferenciaArtículo

1 Cita (Scopus)

Resumen

© 2017 IEEE. This paper deals with a further development of analytic techniques for Optimal Control Problems (OCPs) involving differential systems with the state suprema. Differential equations evolving with state suprema (maxima) provide a useful modelling framework for various real-world applications, namely, in electrical engineering and in biology. The corresponding dynamic models lead to Functional Differential Equations (FDEs) in the presence of state-dependent delays. We study some particular (but important) cases of optimal control processes governed by systems with sup-operator in the right hand sides of the differential equations and obtain constructive characterizations of optimal solutions. The constrained OCPs we examine are formulated assuming the (linear) feedback-type control law. The case study presented in this article constitutes a formal extension of the concept of positive dynamic systems to differential systems with the state suprema.
Idioma originalInglés estadounidense
Páginas739-744
Número de páginas6
DOI
EstadoPublicada - 18 ene 2018
Evento2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017 -
Duración: 18 ene 2018 → …

Conferencia

Conferencia2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Período18/01/18 → …

Huella dactilar

Supremum
Differential System
Optimal Control
Optimal Control Problem
Differential equation
State-dependent Delay
Positive Systems
Electrical Engineering
Constrained Control
Real-world Applications
Functional Differential Equations
Dynamic Systems
Biology
Dynamic Model
Optimal Solution
Operator
Modeling

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Verriest, E. I., & Azhmyakov, V. (2018). Advances in optimal control of differential systems with the state suprema. 739-744. Papel presentado en 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017, . https://doi.org/10.1109/CDC.2017.8263748
Verriest, Erik I. ; Azhmyakov, Vadim. / Advances in optimal control of differential systems with the state suprema. Papel presentado en 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017, .6 p.
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Verriest, EI & Azhmyakov, V 2018, 'Advances in optimal control of differential systems with the state suprema' Papel presentado en, 18/01/18, pp. 739-744. https://doi.org/10.1109/CDC.2017.8263748

Advances in optimal control of differential systems with the state suprema. / Verriest, Erik I.; Azhmyakov, Vadim.

2018. 739-744 Papel presentado en 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017, .

Resultado de la investigación: Contribución a una conferenciaArtículo

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Verriest EI, Azhmyakov V. Advances in optimal control of differential systems with the state suprema. 2018. Papel presentado en 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017, . https://doi.org/10.1109/CDC.2017.8263748