Model reduction with alternatives to the standard hankel matrix

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

Model order determination using the Hankel matrix of impulse responses

This letter studies identification problems of model orders using the Hankel matrix of impulse responses of a system and presents two order identificationmethods: one is based on the singularities or ratios of the Hankel matrix determinants and the other is based on the singular value decomposition of the Hankel matrix. A numerical example verifies the proposed methods. © 2011 Elsevier Ltd. All...

Modified Hankel Matrix Approach for Model Order Reduction in Time Domain

The author presented a method for model order reduction of large-scale time-invariant systems in time domain. In this approach, two modified Hankel matrices are suggested for getting reduced order models. The proposed method is simple, efficient and retains stability feature of the original high order system. The viability of the method is illustrated through the examples taken from literature....

Optimal Hankel norm model reduction by truncation of trajectories

We show how optimal Hankel-norm approximations of dynamical systems allow for a straightforward interpretation in terms of system trajectories. It is shown that for discrete time single-input systems optimal reductions are obtained by cutting ’balanced trajectories’, i.e., by disconnecting the past and future in the input-output pairs relating to leftand right singular vectors of the system. A ...

Exponential Decomposition and Hankel Matrix