Probabilistic stability measures for controlled structures subject to real parameter uncertainties

B. F. Spencer, M. K. Sain, J. C. Kantor, C. Montemagno

Research output: Contribution to journalArticlepeer-review


A systematic approach is proposed for determining the probability of instability for a controlled structure with real parameter uncertainty. Both an eigenvalue criterion and the Routh-Hurwitz criterion are employed in the problem formulation to characterize the stability of the system. The uncertain parameters are modeled as random variables with prescribed probability distributions. First- and second-order reliability methods (FORM/SORM) are discussed and shown to be appropriate for calculating the probability of system instability. Several examples are provided to illustrate the approach.

Original languageEnglish (US)
Article number004
Pages (from-to)294-305
Number of pages12
JournalSmart Materials and Structures
Issue number4
StatePublished - Dec 1 1992
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing
  • Civil and Structural Engineering
  • Atomic and Molecular Physics, and Optics
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Electrical and Electronic Engineering


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