Risk and Return Considerations in The Weakest Link (2008)
The television game show, The Weakest Link, involves contestants making a sequence of decisions over time. Given the rules of the game and the process for accrual of payoffs over time, a number of...
Submitted to IEEE Transactions on Circuits and Systems in July 2003 (2008)
New Monte Carlo, Houssain Kettani, B. Ross Barmish, Monte Carlo Simulation
In this paper, we formulate a new type of Monte Carlo problem for circuits. Specific results are given for the class of resistive networks and open research problems are indicated for more general...
Sheila R. Ross, B. Ross Barmish
probability of stability for an uncertain polynomial which has as coe cients multilinear functions of real, random, independent parameters qi. The result requires little apriori information about the...
On the Conditioning of Robustness Problems 1 (2007)
Pavel S. Shcherbakov, B. Ross Barmish
This focal point of this paper is the “conditioning ” of robustness problems with performance specifications depending nonlinearly on uncertain parameters. Beginning with a rather general class...
On avoiding vertexization of robustness problems: the approximate feasibility concept (2002)
B. Ross Barmish, Pavel S. Shcherbakov
For a large class of robustness problems with uncertain parameter vector q con ned to a box Q, there are many papers providing results along the following lines: The desired performance speci cation...
A New Approach to Open Robustness Problems Based on Probabilistic Prediction Formulae (1996)
B. Ross Barmish, Boris T. Polyak
This paper describes a new approach to a number of open robustness problems. Instead of demanding that some stated Property P is robustly satisfied, the following relaxation is considered: Given any...
Robustness margin need not be a continuous function of the problem data (1990)
Barmish, B. Ross, Khargonekar, P. P., Shi, Z. C., Tempo, R.
For systems with structured real perturbations, it is shown that the robustness margin for stability can be a discontinuous function of the problem data.
Robustness of systems with uncertainties in the input (1981)
Barmish, B. Ross, Blume, Lawrence E., Chikte, Shirish D.
In B. R. Barmish (IEEE Trans. Automat. ControlAC-22, No. 7 (1977) 123, 124; AC-24, No. 6 (1979), 921-926) and B. R. Barmish and Y. H. Lin ("Proceedings of the 7th IFAC World Congress, Helsinki 1978")...