Stabilization and Pseudo-Stabilization

  • Authors:
  • James E. Burns;Mohamed G. Gouda;Raymond E. Miller

  • Affiliations:
  • -;-;-

  • Venue:
  • Stabilization and Pseudo-Stabilization
  • Year:
  • 1990

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Abstract

A stablizing system is one which if started at an arbitrary state is guaranteed to reach a state after which it cannot deviate from its intended specification. In this paper, we propose a new variation of this notion, called pseudo-stabilization. A pseudo-stabilizing system is one which if started at an arbitrary state is guaranteed to reach a state after which it does not deviate from its intended specification. Thus, the difference between the two notions comes down to the difference between cannot and does not - a difference that hardly matters in many practical situations. As it happens, a number of well-known systems, for example the alternating-bit protocol, are pseudo-stabilizing but not stabilizing. We conclude that one should not try to make any such system stabilizing, especially if stabilization comes at a high price.