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Volumn 44, Issue 5, 2008, Pages 1181-1190

An algebraic framework generalizing the concept of transfer functions to nonlinear systems

Author keywords

Non commutative rings; Nonlinear systems; Pseudo linear algebra; Skew polynomials; Transfer functions

Indexed keywords

DIFFERENTIAL EQUATIONS; LINEAR ALGEBRA; POLYNOMIALS; TRANSFER FUNCTIONS;

EID: 41949101524     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.09.008     Document Type: Article
Times cited : (63)

References (24)
  • 3
    • 0032141037 scopus 로고    scopus 로고
    • Non-commutative elimination in Ore algebras proves multivariate identities
    • Chyzak F., and Salvy B. Non-commutative elimination in Ore algebras proves multivariate identities. Journal of Symbolic Computation 26 (1998) 187-227
    • (1998) Journal of Symbolic Computation , vol.26 , pp. 187-227
    • Chyzak, F.1    Salvy, B.2
  • 5
    • 0027625150 scopus 로고
    • A linear algebraic framework for the analysis of discrete-time nonlinear systems
    • Grizzle J.W. A linear algebraic framework for the analysis of discrete-time nonlinear systems. SIAM Journal of Control Optimization 31 (1993) 1026-1044
    • (1993) SIAM Journal of Control Optimization , vol.31 , pp. 1026-1044
    • Grizzle, J.W.1
  • 6
    • 41949117003 scopus 로고    scopus 로고
    • Halás, M. (2006a). Quotients of noncommutative polynomials in nonlinear control systems. In 18th European meeting on cyberntetics and systems research, Vienna, Austria
    • Halás, M. (2006a). Quotients of noncommutative polynomials in nonlinear control systems. In 18th European meeting on cyberntetics and systems research, Vienna, Austria
  • 7
    • 41949087281 scopus 로고    scopus 로고
    • Halás, M. (2006b). Symbolic computation for nonlinear systems. Ph.D. thesis, Department of Automation and Control, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, Bratislava, Slovakia (in Slovak)
    • Halás, M. (2006b). Symbolic computation for nonlinear systems. Ph.D. thesis, Department of Automation and Control, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, Bratislava, Slovakia (in Slovak)
  • 8
    • 41949139912 scopus 로고    scopus 로고
    • Halás, M. (2007). Ore algebras: A polynomial approach to nonlinear time-delay systems. In Ninth IFAC workshop on time-delay systems, Nantes, France
    • Halás, M. (2007). Ore algebras: A polynomial approach to nonlinear time-delay systems. In Ninth IFAC workshop on time-delay systems, Nantes, France
  • 9
    • 35949000595 scopus 로고    scopus 로고
    • Halás, M., & Huba, M. (2006). Symbolic computation for nonlinear systems using quotients over skew polynomial ring. In 14th Mediterranean conference on control and automation, Ancona, Italy
    • Halás, M., & Huba, M. (2006). Symbolic computation for nonlinear systems using quotients over skew polynomial ring. In 14th Mediterranean conference on control and automation, Ancona, Italy
  • 10
    • 84978025504 scopus 로고    scopus 로고
    • Halás, M., & Kotta, Ü. (2007a). Extension of the concept of transfer function to discrete-time nonlinear control systems. In European control conference, Kos, Greece
    • Halás, M., & Kotta, Ü. (2007a). Extension of the concept of transfer function to discrete-time nonlinear control systems. In European control conference, Kos, Greece
  • 11
    • 79960947521 scopus 로고    scopus 로고
    • Halás, M., & Kotta, Ü. (2007b). Pseudo-linear algebra: A powerful tool in unification of the study of nonlinear control systems. In Seventh IFAC symposium NOLCOS, Pretoria, South Africa
    • Halás, M., & Kotta, Ü. (2007b). Pseudo-linear algebra: A powerful tool in unification of the study of nonlinear control systems. In Seventh IFAC symposium NOLCOS, Pretoria, South Africa
  • 13
    • 0040523335 scopus 로고    scopus 로고
    • Non-commutative rings of fractions in algebraical approach to control theory
    • Ježek J. Non-commutative rings of fractions in algebraical approach to control theory. Kybernetika 32 (1996) 81-94
    • (1996) Kybernetika , vol.32 , pp. 81-94
    • Ježek, J.1
  • 14
    • 21344467171 scopus 로고    scopus 로고
    • Rings of skew polynomials in algebraical approach to control theory
    • Ježek J. Rings of skew polynomials in algebraical approach to control theory. Kybernetika 32 (1996) 63-80
    • (1996) Kybernetika , vol.32 , pp. 63-80
    • Ježek, J.1
  • 15
    • 0034439164 scopus 로고    scopus 로고
    • Kotta, Ü. (2000). Irreducibility conditions for nonlinear input-output difference equations. In 39th IEEE conference on decision and control, Sydney, Australia
    • Kotta, Ü. (2000). Irreducibility conditions for nonlinear input-output difference equations. In 39th IEEE conference on decision and control, Sydney, Australia
  • 16
    • 0032071755 scopus 로고    scopus 로고
    • Gain-scheduled and nonlinear systems: Dynamic analysis by velocity-based linearization families
    • Leith D.J., and Leithead W.E. Gain-scheduled and nonlinear systems: Dynamic analysis by velocity-based linearization families. International Journal of Control 70 (1998) 289-317
    • (1998) International Journal of Control , vol.70 , pp. 289-317
    • Leith, D.J.1    Leithead, W.E.2
  • 17
    • 0032070593 scopus 로고    scopus 로고
    • Gain-scheduled controller design: An analytic framework directly incorporating non-equilibrium plant dynamics
    • Leith D.J., and Leithead W.E. Gain-scheduled controller design: An analytic framework directly incorporating non-equilibrium plant dynamics. International Journal of Control 70 (1998) 249-269
    • (1998) International Journal of Control , vol.70 , pp. 249-269
    • Leith, D.J.1    Leithead, W.E.2
  • 18
    • 41949085028 scopus 로고    scopus 로고
    • Ondera, M. G T F _ T o o l s: A Maple-based package for transfer functions of nonlinear control systems.〈http://www.kar.elf.stuba.sk/~mondera/GTF_Tools 〉
    • Ondera, M. G T F _ T o o l s: A Maple-based package for transfer functions of nonlinear control systems.〈http://www.kar.elf.stuba.sk/~mondera/GTF_Tools 〉
  • 19
    • 0001258040 scopus 로고
    • Linear equations in non-commutative fields
    • Ore O. Linear equations in non-commutative fields. Annals of Mathematics 32 (1931) 463-477
    • (1931) Annals of Mathematics , vol.32 , pp. 463-477
    • Ore, O.1
  • 20
    • 0001072553 scopus 로고
    • Theory of non-commutative polynomials
    • Ore O. Theory of non-commutative polynomials. Annals of Mathematics 34 (1933) 480-508
    • (1933) Annals of Mathematics , vol.34 , pp. 480-508
    • Ore, O.1
  • 21
    • 0036721832 scopus 로고    scopus 로고
    • Analysis of nonlinear time-delay systems using modules over non-commutative rings
    • Xia X., Márquez-Martínez L.A., Zagalak P., and Moog C.H. Analysis of nonlinear time-delay systems using modules over non-commutative rings. Automatica 38 (2002) 1549-1555
    • (2002) Automatica , vol.38 , pp. 1549-1555
    • Xia, X.1    Márquez-Martínez, L.A.2    Zagalak, P.3    Moog, C.H.4
  • 23
    • 0031388588 scopus 로고    scopus 로고
    • Zheng, Y., Willems, J., & Zhang, C. (1997). Common factors and controllability of nonlinear systems. In 36th IEEE conference on decision and control, San Diego, CA, USA
    • Zheng, Y., Willems, J., & Zhang, C. (1997). Common factors and controllability of nonlinear systems. In 36th IEEE conference on decision and control, San Diego, CA, USA


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.