The uniform distribution: A rigorous justification for its use in robustness analysis

Mathematics of Control, Signals, and Systems

Volumn 10, Issue 3, 1997, Pages 203-222

  Barmish, B R ^a   Lagoa, C M ^a  

^a University of Wisconsin Madison   (United States)

Author keywords

Probability; Robustness; Sampling; Uncertainty

Indexed keywords

PARAMETER ESTIMATION; POLYNOMIALS; PROBABILITY DENSITY FUNCTION; SAMPLING; SET THEORY; SYSTEM STABILITY;

EDGE THEOREM; KHARITONOV THEOREM; UNCERTAIN PARAMETERS;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 0031358062     PISSN: 09324194     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01211503     Document Type: Article

References (10)

1. Kharitonov, V. L. (1978). Asymptotic Stability of an Equilibrium Position of a Family of Systems of Linear Differential Equations, Differential'nye Uraveniya, vol. 14, pp. 1483-1485.
2. Bartlett, A. C., C. V. Hollot, and L. Huang (1988). Root Locations of an Entire Polytope of Polynomials: It Suffices To Check the Edges, Mathematics of Control, Signals, and Systems, vol. 1, pp. 61-71.
3. Barmish, B. R. (1994). New Tools for Robustness of Linear Systems, Macmillan, New York.
4. Huber, P. J. (1981). Robust Statistics, Wiley, New York.
5. Stengel, R. F., and L. R. Ray (1991). Stochastic Robustness of Linear Time-Invariant Systems, IEEE Transactions on Automatic Control, vol. 36, pp. 82-87.
6. Ray, L. R., and R. F. Stengel (1993). A Monte Carlo Approach to the Analysis of Control Systems Robustness, Automatica, vol. 3, pp. 229-236.
7. Tempo, R., and E. W. Bai (1995). Robustness Analysis with Nonlinear Parametric Uncertainty: A Probabilistic Approach, CENS-CNR Report, Politecnico di Torino.
8. Barmish, B. R., and B. T. Polyak (1996). A New Approach to Open Robustness Problems Based on Probabilistic Prediction Formulae. IFAC World Congress, San Francisco, California.
9. Berger, M. (1987). Geometry, Springer-Verlag, Berlin.
10. Rockafellar, R. T. (1970). Convex Analysis, Princeton University Press, Princeton, NJ.