Linear Complementarity Systems
Copyright policy )Linear Complementarity Systems
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 those appearing in the linear complementarity problem of mathematical programming. The framework the authors describe is suitable for certain situations in which both differential equations and inequalities play a role; for instance, in mechanics, electrical networks, piecewise linear systems, and dynamic optimization. The authors present a precise definition of the solution concept of linear complementarity systems and give sufficient conditions for existence and uniqueness of solutions.
- Technical University Eindhoven Netherlands
- Eindhoven University of Technology Netherlands
- Tilburg University Netherlands
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, hybrid systems, differential-algebraic equations, Collision of rigid or pseudo-rigid bodies, Differential inequalities involving functions of a single real variable, inequality constraints, complementarity problem, Variable structure systems, Simulation, Ordinary differential inclusions, Implicit ordinary differential equations, differential-algebraic equations
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, hybrid systems, differential-algebraic equations, Collision of rigid or pseudo-rigid bodies, Differential inequalities involving functions of a single real variable, inequality constraints, complementarity problem, Variable structure systems, Simulation, Ordinary differential inclusions, Implicit ordinary differential equations, differential-algebraic equations
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