Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Wirth, P R"'
Publikováno v:
Automatica, Volume 147, January 2023, 110743
In power systems, one wishes to regulate the aggregate demand of an ensemble of distributed energy resources (DERs), such as controllable loads and battery energy storage systems. We suggest a notion of predictability and fairness, which suggests tha
Externí odkaz:
http://arxiv.org/abs/2110.03001
Motivated by the scalability problem in large networks, we study stability of a network of infinitely many finite-dimensional subsystems. We develop a so-called relaxed small-gain theorem for input-to-state stability (ISS) with respect to a closed se
Externí odkaz:
http://arxiv.org/abs/2011.10876
In this work, we establish different control design approaches for discrete-time systems, which build upon the notion of finite-step control Lyapunov functions (fs-CLFs). The design approaches are formulated as optimization problems and solved in a m
Externí odkaz:
http://arxiv.org/abs/1908.09660
Publikováno v:
Automatica, Volume 108, October 2019
Across smart-grid and smart-city application domains, there are many problems where an ensemble of agents is to be controlled such that both the aggregate behaviour and individual-level perception of the system's performance are acceptable. In many a
Externí odkaz:
http://arxiv.org/abs/1807.03256
Publikováno v:
The 56th IEEE Annual Conference on Decision and Control (CDC 2017), pp. 1413-1420
We discuss the applicability of classical control theory to problems in smart grids and smart cities. We use tools from iterated function systems to identify controllers with desirable properties. In particular, controllers are identified that can be
Externí odkaz:
http://arxiv.org/abs/1703.07308
Autor:
Mironchenko, Andrii, Wirth, Fabian R.
We show that the existence of a non-coercive Lyapunov function is sufficient for uniform global asymptotic stability (UGAS) of infinite-dimensional systems with external disturbances provided the speed of decay is measured in terms of the norm of the
Externí odkaz:
http://arxiv.org/abs/1612.06575
This paper presents a unification and a generalization of the small-gain theory subsuming a wide range of existing small-gain theorems. In particular, we introduce small-gain conditions that are necessary and sufficient to ensure input-to-state stabi
Externí odkaz:
http://arxiv.org/abs/1612.03710
Autor:
Geiselhart, Roman, Wirth, Fabian R.
In this paper ISS small-gain theorems for discrete-time systems are stated, which do not require input-to-state stability (ISS) of each subsystem. This approach weakens conservatism in ISS small-gain theory, and for the class of exponentially ISS sys
Externí odkaz:
http://arxiv.org/abs/1406.3224
We study the spread of disease in an SIS model. The model considered is a time-varying, switched model, in which the parameters of the SIS model are subject to abrupt change. We show that the joint spectral radius can be used as a threshold parameter
Externí odkaz:
http://arxiv.org/abs/1306.0135
Autor:
Geiselhart, Roman, Wirth, Fabian R.
Publikováno v:
Mathematics of Control, Signals, and Systems (MCSS), Volume 24, Numbers 1-2 (2012), 3-32
In the stability analysis of large-scale interconnected systems it is frequently desirable to be able to determine a decay point of the gain operator, i.e., a point whose image under the monotone operator is strictly smaller than the point itself. Th
Externí odkaz:
http://arxiv.org/abs/1105.1922