Dynamics of a class of uncertain nonlinear systems under flow-invariance constraints.

Pastravanu, Octavian; Voicu, Mihail

Displaying similar documents to “Dynamics of a class of uncertain nonlinear systems under flow-invariance constraints.”

On the velocity projection map for polyhedral Skorokhod problems.

Day, Martin V. (2005)

Applied Mathematics E-Notes [electronic only]

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About the stability and positivity of a class of discrete nonlinear systems of difference equations.

de la Sen, M. (2008)

Discrete Dynamics in Nature and Society

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Switching and stability properties of conewise linear systems

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...

On $M$ -stationary points for a stochastic equilibrium problem under equilibrium constraints in electricity spot market modeling

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...