Skip to main content
Log in

Choosing the Parameters of a Mechanical System with Interval Stability

  • Published:
International Applied Mechanics Aims and scope

Abstract

A new approach to the solution of the interval-stability problem is expounded. The approach is based on the idea of maximum extension of the initial system and on the M-matrix theory. As an example, mechanical systems with fuzzy parameters are considered

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. V. B. Larin, “Control of manipulators and wheeled transport robots as systems of rigid bodies,” Int. Appl. Mech., 36, No. 4, 449-481 (2000).

    Google Scholar 

  2. Yu. A. Martynyuk-Chernienko, “Application of the canonical Lyapunov function in the theory of stability of uncertain systems,” Int. Appl. Mech., 36, No. 8, 1112-1118 (2000).

    Google Scholar 

  3. D. Ya. Khusainov and R. Mustafaeva, “Robust stability of systems with delay,” Ukr. Mat. Zh., 47, No. 6, 859-863 (1995).

    Google Scholar 

  4. M. Ikeda and D. D. Siljak, “Generalized decompositions of dynamic systems and vector Lyapunov functions,” IEEE Trans. Automat. Contr., AC-26, No. 5, 1118-1125 (1981).

    Google Scholar 

  5. Lj. T. Gruji æ, A. A. Martynyuk, and M. Ribbens-Pavella, Large Scale Systems Stability under Structural and Singular Perturbations, Springer-Verlag, Berlin (1987).

    Google Scholar 

  6. A. N. Michel and R. K. Miller, Qualitative Analysis of Large-Scale Dynamical Systems, Acad. Press, New York (1977).

    Google Scholar 

  7. D. Q. Cao and Z. Z. Shu, “Robust stability bounds for multi-degree-of-freedom linear systems with structured perturbations,” Dynam. Stab. Syst., 9, No. 9, 79-87 (1994).

    Google Scholar 

  8. T. A. Luk'yanova and A. A. Martynyuk, “Connective stability analysis of a discrete system,” Int. Appl. Mech., 38, No. 1, 81-89 (2002).

    Google Scholar 

  9. T. A. Luk'yanova and A. A. Martynyuk, “Estimation of the robust stability bound for a discrete system,” Int. Appl. Mech., 38, No. 2, 231-239 (2002).

    Google Scholar 

  10. A. A. Martynyuk and V. I. Slyn'ko, “Matrix-valued Lyapunov function for an extended dynamic system,” Int. Appl. Mech., 37, No. 8, 1083-1088 (2001).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Martynyuk, A.A., Slyn'ko, V.I. Choosing the Parameters of a Mechanical System with Interval Stability. International Applied Mechanics 39, 1089–1092 (2003). https://doi.org/10.1023/B:INAM.0000008219.33061.02

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:INAM.0000008219.33061.02

Navigation