Assurance of Stability in Discrete Systems

  • R. V. Gamkrelidze
Part of the Progress in Mathematics book series (PM, volume 13)


The demands for flawless operation on the part of discrete systems often cannot be satisfied merely by high reliability of their constituent elements and the instigation of measures to assure infallibility of the systems themselves; in their design, therefore, it is necessary to adopt measures in order to guarantee so-called functional “stability,” or temporal reliability, through proper synthesis of the system structure, i.e., through a special choice of the number of elements in the system and of the character of their interconnections. Unstable operation of a discrete system can occur either due to the presence of random interference or due to interference brought on by a scatter of values of the time parameters† of the system elements. Whereas the influence of random interference or noise can be abated by proper filters or the assurance of d-reliability of the system, the elimination of interference caused by scatter of the time parameters of the elements can be taken care of in the appropriate stages of synthesis of the system by the introduction of structural redundancy, except that the introduction of structural redundancy in this instance differs from the introduction of structural redundancy for the assurance of d-reliability of the system.


Internal State Excitation Function Discrete System Input State Code Word 
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Copyright information

© Plenum Press, New York 1972

Authors and Affiliations

  • R. V. Gamkrelidze
    • 1
  1. 1.V.A. Steklov Mathematics InstituteAcademy of Sciences of the USSRMoscowRussia

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