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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 10.7

Open problems in randomized ì analysis

Onur Toker

College of Computer Sciences and Engineering

KFUPM, P.O. Box 14

Dhahran 31261

Saudi Arabia

onur@kfupm.edu.sa

1 INTRODUCTION

In this chapter, we review the current status of the problem reported in [5], and discuss some open problems related to randomized µ analysis. Basically, what remains still unknown after Treil’s result [6] are the growth rate of the 16619/µ ratio, and how likely it is to observe a high conservatism. In the context of randomized µ analysis, we discuss two open problems (i) Existence of polynomial time Las Vegas type randomized algorithms for robust stability against ...

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