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Guaranteed Error Bounds for Model Reduction of Linear Time-Varying Systems
Time-Varying Systems Model Reduction
2015/6/19
New techniques are presented for the model reduction of linear time-varying and linear periodically-varying systems, including the formulation and proof of guaranteed upper bounds for the error. The c...
Structure-Preserving Model Reduction for Mechanical Systems
Mechanical Systems Model Reduction
2015/6/19
This paper focuses on methods of constructing of reduced-order models of mechanical systems which preserve the Lagrangian structure of the original system. These methods may be used in combination wit...
Error Bounds for Balanced Model Reduction of Linear Time-Varying Systems
Time-Varying Systems Model Reduction
2015/6/19
Error-bounds are developed for balanced truncation of linear time-varying systems, leading to an extension of the `twice the sum of the tail' formulae, well-known in the time-invariant case. The appro...
Dimensional Model Reduction in Non-Linear Finite Element Dynamics of Solids and Structures
Element Dynamics Model Reduction
2015/6/19
A general approach to the dimensional reduction of non-linear finite element models of solid dynamics is presented. For the Newmark implicit time-discretization, the computationally most expensive pha...
A Subspace Approach to Balanced Truncation for Model Reduction of Nonlinear Control Systems
Model Reduction Balanced Truncation
2015/6/19
In this paper we introduce a new method of model reduction for nonlinear control systems. Our approach is to construct an approximately balanced realization. The method requires only standard matrix c...
Model Reduction for Analysis of Cascading Failures in Power Systems
Power Systems Cascading Failures
2015/6/19
In this paper, we apply a principal-orthogonal decomposition based method to the model reduction of a hybrid, nonlinear model of a power network. The results demonstrate that the sequence of fault eve...