Structure-preserving model order reduction for interconnected systems
As a special class of complex systems,the properties of interconnected systems are related to its topology structures.It is necessary to preserve the structures of original systems during dimension reduction.As a result,this paper focus on the topic of model order reduction(MOR)for intercon-nected systems and presents a series structure-preserving MOR methods.The associated controllability gramian as well as observability gramian is approximately in a low-rank decomposition form,which is constructed via shifted Legendre polynomials expansions instead of Lyapunov equations.In combi-nation of balanced truncation and dominant subspace projection method,a class of MOR algorithms are proposed,which preserve the interconnection structures.What's more,the property of stability preservation for reduced-order models is well discussed.Finally,numerical simulations are provided to illustrate the effectiveness of our proposed algorithms.
model order reduction(MOR)interconnected systemsshifted Legendre polynomialsbalanced truncationdominant subspace
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