Analysis of Stability for Time-Invariant Linear Systems with Interval Coefficients

Document Type : Research Paper

Authors

1 Department of Mathematics, Payame Noor University, Tehran, Iran.

2 Department of Applied Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran.

10.22128/gadm.2024.840.1113

Abstract

In this paper, the stability of time-invariant (continuous-time) free linear system with interval coefficients is researched. After the introduction of parametric representation for intervals and subsequently the extension of this representation to interval matrices, stability with the concept of Lyapanov is discussed and investigated. The most important result of this idea, is the ability of checking stability without considering some constraints on the system. By presenting several examples, the stability of these systems, is researched by using the expressed approach.

Keywords

References

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Global Analysis and Discrete Mathematics

Articles in Press, Accepted Manuscript
Available Online from 20 October 2024

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History

  • Receive Date: 10 June 2024
  • Revise Date: 13 August 2024
  • Accept Date: 19 August 2024

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