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On Linear Passive Complementarity Systems
European Journal of Control, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Camlibel, MK +2 more
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Complementarity problems in linear complementarity systems
Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 1998Complementarity systems are described by differential and algebraic equations and inequalities similar to those appearing in the linear complementarity problem (LCP) of mathematical programming. Typical examples of such systems include mechanical systems subject to unilateral constraints, electrical networks with diodes, processes subject to relays and/
Heemels, W.P.M.H. +2 more
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Exponential Time-Stepping Method for Linear Complementarity Systems
IEEE Transactions on Automatic Control, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mode Selection in Linear Complementarity Systems
IFAC Proceedings Volumes, 1998Abstract In this paper, the object of study is the class of 'linear complementarity systems' given by differential equations and inequalities similar as in the Linear Complementarity Problem of mathematical programming. In the description of the evolution of such systems, a key role is played by the set of inequalities that hold with equality.
Heemels, W.P.M.H. +2 more
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Reorienting linear complementarity systems using feedback
2009 IEEE International Conference on Control Applications, 2009Unlike linear dynamical systems the existence and uniqueness of solutions (wellposedness) for linear complementarity systems (LCS) is not trivial. It has been shown in literature that the consistent and jump space of an LCS (with zero input) plays an important role in establishing the wellposedness.
H. Priyadarshan, Harish K. Pillai
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Linear Complementarity Systems with Singleton Properties: Non-Zenoness
2007 American Control Conference, 2007Extending our previous work on linear complementarity systems (LCSs) with the P-property, this paper establishes that a certain class of LCSs of the positive semidefinite-plus type does not have Zeno states. An intrinsic feature of such an LCS is that it has a unique continuously differentiable state solution for any initial condition, albeit the ...
Jinglai Shen, Jong-Shi Pang
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Linear Complementarity Systems and Cone-Copositive Lyapunov Stability
IEEE Control Systems Letters, 2019Exponential stability of the origin of linear complementarity systems (LCS) is analyzed by applying Lyapunov theory. By representing the feasibility and the solution sets of the LCS as cones, a cone-copositive approach is used to get sufficient stability conditions expressed in terms of linear matrix inequalities (LMI).
L. Iannelli, R. Iervolino, F. Vasca
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When Is a Linear Complementarity System Disturbance Decoupled?
2015In this chapter, we study the disturbance decoupling problem for linear complementarity systems that form a class of piecewise affine systems. Direct application of the existing results for piecewise affine systems to linear complementarity systems leads to somewhat bulky conditions.
Everts, A., Camlibel, M. K.
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