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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       font style='font-size:12px;'> 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 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...
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...
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       font style='font-size:12px;'> 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...
For decentralized control problems with quadratically invariant information constraints, the optimal controller may be found efficiently. In this paper, we show that there are systems which are not qu...

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