Your browser does not support JavaScript!
http://iet.metastore.ingenta.com
1887

Singular distributed parameter systems

Singular distributed parameter systems

For access to this article, please select a purchase option:

Buy article PDF
$19.95
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IEE Proceedings D (Control Theory and Applications) — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The paper deals with the distributed parameter systems described by coupled partial differential equations with singular matrix coefficients. Initial-boundary-value problems are considered in the light of both singular 1d systems theory and the Fourier approach to distributed parameter systems. The method presented in this paper gives the possibility of determining acceptable initial-boundary conditions. An illustrative example is given.

References

    1. 1)
      • W. Marszalek , R. Hanus , P. Kool , S. Tzafestas . (1991) Remarks on applications of 2-D singular, Mathematical and intelligent models in system simulation.
    2. 2)
      • Z. Gajic , D. Petkovski , X. Shan . (1990) , Singularly perturbed and weakly coupled linear control systems. A recursive approach.
    3. 3)
      • F.L. Lewis . A survey of linear singular systems. Circuits, Syst., Signal Process , 3 - 36
    4. 4)
      • S.L. Campbell . (1980) , Singular systems of differential equations.
    5. 5)
      • Karamancioglu, A.: `Two-dimensional implicit linear systems', 1991, PhD thesis, University of Texas, Arlington.
    6. 6)
      • K.E. Brenan , S.L. Campbell , L.R. Petzold . (1989) , The numerical solution of initial value problems in differential algebraic equations.
    7. 7)
      • W. Marszalek . Orthogonal functions analysis of singular systems with impulsive responses. IEE Proc. D , 84 - 86
    8. 8)
      • E. Fornasini , G. Marchesini . Doubly indexed dynamical systems: state-space models and structural properties. Math. Syst. Theory , 59 - 72
    9. 9)
      • W. Marszalek , G.T. Kekkeris . Heat exchangers and linear image processing theory. Int. J. Heat Mass Transfer , 2363 - 2375
    10. 10)
      • Z. Trzaska . The inverse problem to matrix polynomial factor isation and its application to circuits design. IEE Proc. G. , 221 - 224
    11. 11)
      • Trzaska, Z.: `On the generalized matrix inverse Laplace transform theorem and its application to network studies', Proceedings IEEE Symposium on Circuits and systems, 1977, Phoenix, AZ, USA, p. 646–648.
    12. 12)
      • J.D. Aplevich . (1991) , Implicit linear systems.
    13. 13)
      • T. Kaczorek . (1985) , Two-dimensional linear systems.
    14. 14)
      • Conte, G., Perdon, A., Kaczorek, T.: `A geometric approach to singular 2-D linear systems', Proceedings of IFAC Workshop on System structure and control, 1989, , p. 241–244.
    15. 15)
      • M. Sezgin . Magnetohydrodynamic flow in a rectangular duct. Int. J. Numer. Methods Fluids , 697 - 718
    16. 16)
      • S.L. Campbell . Comments on 2-D descriptor systems. Automatic , 189 - 192
    17. 17)
      • L. Jodar , M. Legua Fernandez . An implicit difference method for the numerical solution of coupled systems of partial differential equations. Appl. Math. Comput. , 127 - 134
    18. 18)
      • Z.W. Trzaska . The algorithm for computing nonmonic second order multivariable systems. Comput. Math. Appl , 17 - 27
    19. 19)
      • F.L. Lewis , W. Marszalek , B.G. Mertzios . Walsh function analysis of 2-D generalized continuous systems. IEEE Trans. , 1140 - 1144
    20. 20)
      • E.O. Brigham . (1974) , The fast Fourier transform.
    21. 21)
      • Fung-Yuel Chang . Transient analysis of lossless transmission lines in a nonhomogeneous dielectric medium. IEEE Trans. , 616 - 626
    22. 22)
      • F.L. Lewis . A review of 2-D implicit systems. Automatica , 345 - 354
    23. 23)
      • B.G. Mertzios , P.N. Paraskevopoulos . Transfer function matrix of 2-D systems. IEEE Trans. , 722 - 724
http://iet.metastore.ingenta.com/content/journals/10.1049/ip-d.1993.0040
Loading

Related content

content/journals/10.1049/ip-d.1993.0040
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address