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pro vyhledávání: '"Martin Gugat"'
Autor:
Martin Gugat
Publikováno v:
Machines, Vol 12, Iss 10, p 705 (2024)
The finite-time turnpike property describes the situation in an optimal control problem where an optimal trajectory reaches the desired state before the end of the time interval and remains there. We consider a machine learning problem with a neural
Externí odkaz:
https://doaj.org/article/56dc5563210d440a9a8b099ab7aa1ef6
Autor:
Martin Gugat, Sven Weiland
Publikováno v:
Journal of Optimization, Differential Equations and Their Applications, Vol 29, Iss 2, Pp 1-23 (2021)
In this paper we discuss an approach to the stability analysis for classical solutions of closed loop systems that is based upon the tracing of the evolution of the Riemann invariants along the characteristics. We consider a network where several edg
Externí odkaz:
https://doaj.org/article/6a01464d0f44494b8fc1cbc330906d82
Autor:
Martin Gugat
Publikováno v:
Applied Sciences, Vol 2, Iss 2, Pp 479-484 (2012)
Compressible squeeze film damping is a phenomenon of great importance for micromachines. For example, for the optimal design of an electrostatically actuated micro-cantilever mass sensor that operates in air, it is essential to have a model for the s
Externí odkaz:
https://doaj.org/article/01e7db2d2b44432b90363bacd193cd7e
Publikováno v:
European Journal of Applied Mathematics, Pp 1-15
We study the turnpike phenomenon for optimal control problems with mean-field dynamics that are obtained as the limit $N\rightarrow \infty$ of systems governed by a large number $N$ of ordinary differential equations. We show that the optimal c
Externí odkaz:
https://doaj.org/article/1444aa8c46744da68bf10aad38906d7d
Publikováno v:
2022 IEEE 61st Conference on Decision and Control (CDC).
Publikováno v:
IMA Journal of Mathematical Control and Information. 38:1109-1147
The flow of gas through networks of pipes can be modelled by coupling hyperbolic systems of partial differential equations that describe the flow through the pipes that form the edges of the graph of the network by algebraic node conditions that mode
Autor:
Martin Gugat
Publikováno v:
Mathematics of Control, Signals, and Systems. 33:237-258
In this paper the turnpike phenomenon is studied for problems of optimal control where both pointwise-in-time state and control constraints can appear. We assume that in the objective function, a tracking term appears that is given as an integral ove
Publikováno v:
at - Automatisierungstechnik. 68:1001-1010
This contribution focuses on the analysis and control of friction-dominated flow of gas in pipes. The pressure in the gas flow is governed by a partial differential equation that is a doubly nonlinear parabolic equation of p-Laplace type, where p = 3
Autor:
Martin Gugat, Martin Lazar
We analyse the turnpike properties for a general, infinite dimensional, linear-quadratic (LQ) optimal control problem, in both the deterministic and the parameter dependent case. The novelty of the paper is twofold. Firstly, it obtains positive turnp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8efd19a24b685ccf5ee656f6a99ed95
https://www.bib.irb.hr/1233786
https://www.bib.irb.hr/1233786