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ten Dam, A.A. (author)A mathematical theory for modelling dynamical systems with equality state-space constraints is presented. The dynamic behaviour of these systems is represented by a combination of differential and algebraic equations. It Is shown that the freedom offered by control is essential to obtain other, mathematically equivalent formulations. The notion...report 1990
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ten Dam, A.A. (author)Numerical simulation of constrained dynamical systems is known to exhibit stability problems even when the unconstrained system can be simulated in a stable manner. We show that not the constraints themselves, but the transformation of a continuous set of equations to a discrete set of equations is the true source of the stability problem....report 1990