An algorithm for the realization of generalized linear systems via Taylor series expansion about an arbitrary point ``a

DOI10.1016/0016-0032(87)90063-9zbMath0625.93014OpenAlexW2089165490MaRDI QIDQ580263

B. G. Mertzios, George Vachtsevanos, Manolis A. Christodoulou

Publication date: 1987

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(87)90063-9

zbMATH Keywords

algorithmminimal realizationTaylor series expansionrealization of generalized state space linear systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Minimal systems representations (93B20) Discrete version of topics in analysis (39A12) Realizations from input-output data (93B15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) General theory for ordinary differential equations (34A99)

Related Items

A simplified realization algorithm for singular systems

Cites Work

• A survey of linear singular systems
• A generalized state-space for singular systems
• Transfer-function matrix realization using Taylor series expansion about a general point<tex>a</tex>
• Realization of singular systems via Markov parameters
• Realization of singular systems via Markov parameters and moments
• Properties of the system matrix of a generalized state-space system†
• Analysis of descriptor systems using numerical algorithms
• Structural properties of linear dynamical systems
• Contributions to a hierarchical theory of systems
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