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#### A Measure of Worst-Case HPerformance and of Largest Acceptable Uncertainty

(1991)

The structured singular value (SSV or ) is know to be an effective tool for assessing robust performance of linear time- invariant models subject to structured uncertainty. Yet all a single analysis provides is a bound ݠon ...

#### Linear Fractional Transformations for the Approximation of Various Uncertainty Sets

(1991)

Recently, it was shown that the structured singular value framework can be extended to the case when information on the phase of the uncertainty is available, and a computable upper bound on the corresponding "phase sensitive ...

#### On Continuity/Discontinuity in Robustness Indicators

(1991)

Continuity/discontinuity of robustness indicators is reviewed. For the case of real or mixed uncertainty, a regularization of the frequency dependent robustness margin is proposed and its properties are discussed. Implication ...

#### Absolute Stability Theory, Theory, and State-Space Verification of Frequency-Domain Conditions: Connections and Implications for Computation

(1997)

The main contribution of the paper is to show the equivalence between the following two approaches for obtaining sufficient conditions for the robust stability of systems with structured uncertainties: (i) apply the classical ...

#### Robustness under Bounded Uncertainty with Phase Information

(1996)

We consider uncertain linear systems where the uncertainties, in addition to being bounded, also satisfy constraints on their phase. In this context, we define the ﲰhase-sensitive structured singular value (PS-SSV) of a ...

#### Worst-Case HPerformance Under Structured Perturbations with Known Bounds

(1990)

The structured singular value (SSV or ) is known to be an effective tool for assessing robust performance of linear time- invariant models subject to structured uncertainty. Yet all a single analysis provides is a bound ...

#### On the Computation of the Real Stability Radius

(1993)

Recently, Qiu et al. obtained a computationally attractive formula for the computation of the real stability radius. This formula involves a global maximization over frequency. Here we show that the frequency range can be ...

#### When is the Multiaffine Image of a Cube a Polygon?

(1992)

We give two simple sufficient conditions under which the multiaffine image on the complex plane of an m-dimensional cube is a convex polygon. A third condition which, in some generic sense, is necessary and sufficient is ...

#### On Phase Information in Multivariable Systems

(1991)

The "median phase" and "phase spread" of a matrix are defined and properties are derived. The question of robust stability under uncertainty with phase information is addressed and a corresponding necessary and sufficient ...

#### Globally Convergent Algorithms for Robust Pole Assignment by State Feedback

(1995)

It is observed that an algorithm proposed in 1985 by Kautsky, Nichols and Van Dooren (KNV) amounts to maximize, at each iteration, the determinant of the candidate closed-loop eigenvector matrix X with respect to one of ...