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Calibration algorithm for spatial partial equilibrium models with conjectural variations
Tobias Baltensperger, Rudolf M. Füchslin, Pius Krütli +1
When calibrating spatial partial equilibrium models with conjectural variations, some modelers fit the suppliers' sales to the available data in addition to total consumption and p…
Robust Optimal Control with Adjustable Uncertainty Sets
Xiaojing Zhang, Maryam Kamgarpour, Angelos Georghiou +2
In this paper, we develop a unified framework for studying constrained robust optimal control problems with adjustable uncertainty sets. In contrast to standard constrained robust…
Multiplicity of equilibria in conjectural variations models of natural gas markets
Tobias Baltensperger, Rudolf M. Füchslin, Pius Krütli +1
Spatial partial equilibrium models incorporating conjectural variations are widely used to analyze the development of oligopolistic multi-agent markets, such as international energ…
Strong Stationarity Conditions for Optimal Control of Hybrid Systems
Andreas B. Hempel, Paul Goulart, John Lygeros
We present necessary and sufficient optimality conditions for finite time optimal control problems for a class of hybrid systems described by linear complementarity models. Althoug…
Upper bounds for the reach-avoid probability via robust optimization
Nikolaos Kariotoglou, Maryam Kamgarpour, Tyler H. Summers +1
We consider finite horizon reach-avoid problems for discrete time stochastic systems. Our goal is to construct upper bound functions for the reach-avoid probability by means of tra…
On the Sample Size of Random Convex Programs with Structured Dependence on the Uncertainty (Extended Version)
Xiaojing Zhang, Sergio Grammatico, Georg Schildbach +2
The "scenario approach" provides an intuitive method to address chance constrained problems arising in control design for uncertain systems. It addresses these problems by replacin…