Model Predictive Control for Linear Complementarity and Extended Linear Complementarity Systems [PDF]
ITB Journal of Engineering Science, 2005 In this paper, we propose model predictive control method for linear complementarity and extended linear complementarity systems by formulating optimization along prediction horizon as mixed integer quadratic program.
Bambang Riyanto, Ibrahim Hakim
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New global error bound for extended linear complementarity problems [PDF]
Journal of Inequalities and Applications, 2018 For the extended linear complementarity problem (ELCP), by virtue of a new residual function, we establish a new type of global error bound under weaker conditions.
Hongchun Sun, Min Sun, Yiju Wang
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An alternative error bound for linear complementarity problems involving BS $B^{S}$-matrices [PDF]
Journal of Inequalities and Applications, 2018 An alternative error bound for linear complementarity problems for BS $B^{S}$-matrices is presented. It is shown by numerical examples that the new bound is better than that provided by García-Esnaola and Peña (Appl. Math. Lett.
Lei Gao
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The extended linear complementarity problem [PDF]
Mathematical Programming, 1995 Summary: We consider an extension of the horizontal linear complementarity problem, which we call the extended linear complementarity problem (XLCP). With the aid of a natural bilinear program, we establish various properties of this extended complementarity problem; these include the convexity of the bilinear objective function under a monotonicity ...
Bart De Schutter, Bart De Moor
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On the preconditioned GAOR method for a linear complementarity problem with an M-matrix [PDF]
Journal of Inequalities and Applications, 2018 Recently, based on the Hadjidimos preconditioner, a preconditioned GAOR method was proposed for solving the linear complementarity problem (Liu and Li in East Asian J. Appl. Math. 2:94–107, 2012).
Shu-Xin Miao, Dan Zhang
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An improved error bound for linear complementarity problems for B-matrices [PDF]
Journal of Inequalities and Applications, 2017 A new error bound for the linear complementarity problem when the matrix involved is a B-matrix is presented, which improves the corresponding result in (Li et al. in Electron. J. Linear Algebra 31(1):476-484, 2016).
Lei Gao, Chaoqian Li
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Linear Complementarity Systems: Zeno States [PDF]
SIAM Journal on Control and Optimization, 2005 Conewise linear systems are dynamical systems in which the state space is partitioned into a finite number of nonoverlapping polyhedral cones on each of which the dynamics of the system is described by a linear differential equation. This class of dynamical systems represents a large number of piecewise linear systems, most notably, linear ...
Jinglai Shen, Jong-Shi Pang
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The Linear Dynamic Complementarity Problem is a special case of the Extended Linear Complementarity Problem [PDF]
Systems and Control Letters, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bart De Schutter, Bart De Moor
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Polyhedral complementarity problem with quasimonotone decreasing mappings [PDF]
Yugoslav Journal of Operations Research, 2023 The fixed point problem of piecewise constant mappings in Rn is investigated. This is a polyhedral complementarity problem, which is a generalization of the linear complementarity problem.
Shmyrev Vadim I.
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The strict complementarity in linear fractional optimization [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 As an important duality result in linear optimization, the Goldman–Tucker theorem establishes strict complementarity between a pair of primal and dual linear programs.
M. Mehdiloo, K. Tone, M.B. Ahmadi
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