Generalized gramian based frequency interval model reduction for unstable systems

Ahmad, Jamil; Sreeram, Victor; Togneri, Roberto; Minh, Ha Binh

doi:10.1109/aucc.2016.7868000

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Cited by 7 publications

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“…Hence, none of the standard methods [1][2][3][4][5][6][7][9][10][11][12]15,24], can be applied to these particular cases. To deal with this, Zhou et al [25] proposed balanced truncation for unstable systems by modifying the Lyapunov equations which was later used in [26] and [27] for generalization of cross Gramian and frequency interval Gramians respectively.…”

Section: Introductionmentioning

confidence: 99%

Model reduction based on limited‐time interval impulse response Gramians

Kumar

Ahmad

Sreeram

2019

Asian Journal of Control

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In this paper, three new Gramians are introduced namely-limited-time interval impulse response Gramians (LTIRG), generalized limited-time Gramians (GLTG) and generalized limited-time impulse response Gramians (GLTIRG). GLTG and GLTIRG are applicable to both unstable systems and also to systems which have eigenvalues of opposite polarities and equal magnitude. The concept of these Gramians is utilized to develop model reduction algorithms for linear

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