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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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Linear Complementarity Systems [PDF]
SIAM Journal on Applied Mathematics, 2000 Summary: The authors introduce a new class of dynamical systems called ``linear complementarity systems''. The time evolution of these systems consists of a series of continuous phases separated by ``events'' which cause a change in dynamics and possibly a jump in the state vector. The occurrence of events is governed by certain inequalities similar to
Heemels, W.P.M.H. +2 more
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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 ...
Shen, Jinglai, Pang, Jong-Shi
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Non-linearity, complexity, and quantization concepts in biology [PDF]
Frontiers in Human NeuroscienceFounders of quantum mechanics (QM) anticipated that revisions to classical physics due to strange elements of quantum reality, would necessitate similar changes in biology. Complexity theory, systems biology and quantum biology provide possible solutions
Neil D. Theise +3 more
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Semicopositive linear complementarity systems [PDF]
International Journal of Robust and Nonlinear Control, 2007 AbstractInspired by the dynamic complementarity problem introduced by Mandelbaum, we define several matrix classes in terms of some integral conditions and discuss their connection with the existing class of strictly semicopositive matrices in linear complementarity theory.
Shen, Jinglai, Pang, Jong-Shi
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Preconditioned conjugate gradient methods for absolute value equations
Journal of Numerical Analysis and Approximation Theory, 2020 We investigate the NP-hard absolute value equations (AVE), \(Ax-B|x| =b\), where \(A,B\) are given symmetric matrices in \(\mathbb{R}^{n\times n}, \ b\in \mathbb{R}^{n}\).
Nassima Anane, Mohamed Achache
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Analysis of the implicit Euler time-discretization of passive linear descriptor complementarity systems [PDF]
Journal of Nonsmooth Analysis and Optimization, 2022 This article is largely concerned with the time-discretization of descriptor-variable systems coupled to with complementarity constraints. They are named descriptor-variable linear complementarity systems (DVLCS).
Bernard Brogliato, Alexandre Rocca
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A generalized approach for implicit time integration of piecewise linear/nonlinear systems
International Journal of Mechanical System Dynamics, 2021 A generalized solution scheme using implicit time integrators for piecewise linear and nonlinear systems is developed. The piecewise linear characteristic has been well‐discussed in previous studies, in which the original problem has been transformed ...
Huimin Zhang +3 more
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Observer-Based Control of Linear Complementarity Systems [PDF]
International Journal of Robust and Nonlinear Control, 2008 AbstractIn this paper we present observer and output‐based controller design methods for linear complementarity systems (LCS) employing a passivity approach. Due to various inherent properties of LCS, such as the presence of state jumps, mode dynamics described by differential and algebraic equations (DAEs), and regions for certain modes being lower ...
Heemels, W. P. Maurice H. +3 more
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