Journal of Soviet Mathematics

, Volume 63, Issue 5, pp 586–590 | Cite as

Some practical stability criteria for systems of linear differential equations

  • I. G. Dovbysh
Applied Topics of Control Theory, Mathematical Cybernetics, and Statistics


We examine some problems of practical stability of motion of linear systems when the initial state of the phase trajectory is contained in a “ball” in the lp space. Various constraints on the phase state are considered. Parametric stability criteria and stability criteria under simultaneous constraints on the initial state and the perturbations are derived.


Differential Equation Phase State Linear System Stability Criterion Linear Differential Equation 
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Literature cited

  1. 1.
    B. N. Bublik, F. G. Garashchenko, and N. F. Kirichenko, Structural-Parametric Optimization and Stability of the Dynamics of Beams [in Russian], Naukova Dumka, Kiev (1985).Google Scholar
  2. 2.
    F. G. Garashchenko and L. A. Pantalienko, “Practical stability of dynamic systems dependent on a parameter,” Vychisl. Prikl. Mat., No. 55, 119–125 (1985).Google Scholar
  3. 3.
    N. F. Kirichenko, Introduction to the Theory of Motion Stabilization [in Russian], Vishcha Shkola, Kiev (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • I. G. Dovbysh
    • 1
  1. 1.Kiev UniversityUSSR

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