Results 231 to 240 of about 10,401 (258)
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Balanced truncation with spectral shaping for RLC interconnects
Proceedings of the ASP-DAC 2001. Asia and South Pacific Design Automation Conference 2001 (Cat. No.01EX455), 2001This paper presents a numerically stable and efficient algorithm for model reduction of large RLC networks using a frequency-weighted balanced truncation technique. The salient features of this algorithm include guaranteed stability of the reduced transfer function as well as availability of provable frequency-weighted error bounds.
Payam Heydari, Massoud Pedram
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A tangential method for the balanced truncation in model reduction
Numerical Algorithms, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Improved results on frequency weighted balanced truncation
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009In this paper, we present some new results on frequency weighted balanced truncation which is a significant improvement on Lin and Chiu's frequency weighted balanced truncation technique [7]. The reduced order models which are guaranteed to be stable in case of double-sided weighting, are obtained by direct truncation.
Victor Sreeram, Shafishuhaza Sahlan
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Properties of Frequency Weighted Balanced Truncation Techniques
2007 IEEE International Conference on Automation Science and Engineering, 2007In this paper, we derive interesting conditions under which the frequency weighted balanced truncation techniques: Enns' technique, Lin and Chiu's technique, Wang et al's technique as well as Varga and Anderson's technique are equivalent.
Shafishuhaza Sahlan +2 more
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A Novel Scheme for Positive Real Balanced Truncation
2007 American Control Conference, 2007Here, model reduction, based on balanced truncation, of stable and passive systems will be considered. An overview over some of the already existing techniques will be given; Lyapunov balancing, Riccati balancing and Stochastic balancing. Subsequently a novel scheme for positive real balanced truncation will be proposed.
Kari Unneland +2 more
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Diagonal balanced truncation of discrete delay systems
Automatica, 1999The author introduces a new model reduction method for discrete delay systems, different from the traditional method, where the reduced system is also a discrete delay system of a smaller size in the dimension of the state. The author considers the following discrete state delay system \[ G:\begin{aligned} & x(k+1)=A_0x(k)+A_1x(k-N)+Bu(k)\\ & y(k)=Cx(k)
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Extended balanced truncation for continuous time LTI systems
2018 European Control Conference (ECC), 2018In this paper we develop a continuous time counterpart of the balancing approach based on the extended Gramians for discrete time LTI systems. The extended Gramians are solutions to LMI's and can be seen as an extension/generalization of generalized Gramians which are solutions of the standard Lyapunov inequalities.
Scherpen, Jacquelien M.A. +1 more
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PABTEC: Passivity-Preserving Balanced Truncation for Electrical Circuits
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2010We present a passivity-preserving balanced truncation model reduction method for differential-algebraic equations arising in circuit simulation. This method is based on balancing the solutions of projected Lur'e equations. By making use of the special structure of circuit equations, we can reduce the numerical effort for balanced truncation ...
Reis, Timo, Stykel, Tatjana
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Efficient numerical algorithms for balanced stochastic truncation
2001If \(G\) is the transfer function of a stable linear time-invariant system and suppose \(G(s)G^T(-s)=W^T(-s)W(s)\), then a reduced order model \(G_r\) can be obtained by truncating a balanced realization of \(G\). For balancing, one needs the controllability grammian \(P\) of \(G\) and the observability grammian \(Q\) of \(W\).
Benner, Peter +2 more
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Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach
SIAM Journal on Matrix Analysis and Applications, 2021Matthias Voigt, Timo Reis
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