On the velocity projection map for polyhedral Skorokhod problems.
Day, Martin V. (2005)
Applied Mathematics E-Notes [electronic only]
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Day, Martin V. (2005)
Applied Mathematics E-Notes [electronic only]
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de la Sen, M. (2008)
Discrete Dynamics in Nature and Society
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Jinglai Shen, Lanshan Han, Jong-Shi Pang (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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Being a unique phenomenon in hybrid systems, mode switch is of fundamental importance in dynamic and control analysis. In this paper, we focus on global long-time switching and stability properties of conewise linear systems (CLSs), which are a class of linear hybrid systems subject to state-triggered switchings recently introduced for modeling piecewise linear systems. By exploiting the conic subdivision structure, the “simple switching behavior” of the CLSs is proved. The infinite-time...
René Henrion, Werner Römisch (2007)
Applications of Mathematics
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Modeling several competitive leaders and followers acting in an electricity market leads to coupled systems of mathematical programs with equilibrium constraints, called equilibrium problems with equilibrium constraints (EPECs). We consider a simplified model for competition in electricity markets under uncertainty of demand in an electricity network as a (stochastic) multi-leader-follower game. First order necessary conditions are developed for the corresponding stochastic EPEC based...
Wang, Wu-Sheng, Li, Zizun, Li, Yong, Huang, Yong (2010)
Journal of Inequalities and Applications [electronic only]
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Haddad, Wassim M., Hui, Qing, Chellaboina, Vijaysekhar, Nersesov, Sergey (2004)
Advances in Difference Equations [electronic only]
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Wu, Yu, Li, Xiaopei, Deng, Shengfu (2010)
Advances in Difference Equations [electronic only]
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