The structured singular value μ measures the robustness of uncertain Systems. Numerous researchers over the last decade have worked on developing efficient methods for computing μ. This paper considers the complexity of calculating μ with general mixed real/complex uncertainty in the framework of combinatorial complexity theory. In particular, it is proved that the μ recognition problem with either pure real or mixed real/complex uncertainty is NP-hard. This strongly suggests that it is futile to pursue exact methods for calculating μ of general systems with pure real or mixed uncertainty for other than small problems
Complex systems (CS) involve many elements that interact at different scales in time and space. The ...
Numerical simulation is one of primary methods in which people study the property of chaotic systems...
AbstractWe explain why information-based complexity uses the real number model. Results in the real ...
The structured singular value μ measures the robustness of uncertain systems. Numerous researchers o...
The structured singular value μ measures the robustness of uncertain systems. Numerous researchers o...
This paper studies a generalized real structured singular value (¯) problem where uncertain paramete...
In practical problem situations data are usually inherently unreliable. A mathematical representatio...
A new problem formulation for the structured singular value μ in the case of purely real (possibly r...
In most real-life situations, we have uncertainty: we do not know the exact state of the world, ther...
The robustness analysis of system performance is one of the key issues in control theory, and one ap...
Stochastic programming is the subfield of mathematical programming that considers optimization in th...
We survey a selection of inconsistency measures from the literature and investigate their computatio...
In many real-life situations, we are interested in the value of a physical quantity y that is diffic...
We survey the problem of deciding the stability or stabilizability of uncertain linear systems whose...
This thesis deals with the analysis of the real µ problem as a powerful tool for measuring the stabi...
Complex systems (CS) involve many elements that interact at different scales in time and space. The ...
Numerical simulation is one of primary methods in which people study the property of chaotic systems...
AbstractWe explain why information-based complexity uses the real number model. Results in the real ...
The structured singular value μ measures the robustness of uncertain systems. Numerous researchers o...
The structured singular value μ measures the robustness of uncertain systems. Numerous researchers o...
This paper studies a generalized real structured singular value (¯) problem where uncertain paramete...
In practical problem situations data are usually inherently unreliable. A mathematical representatio...
A new problem formulation for the structured singular value μ in the case of purely real (possibly r...
In most real-life situations, we have uncertainty: we do not know the exact state of the world, ther...
The robustness analysis of system performance is one of the key issues in control theory, and one ap...
Stochastic programming is the subfield of mathematical programming that considers optimization in th...
We survey a selection of inconsistency measures from the literature and investigate their computatio...
In many real-life situations, we are interested in the value of a physical quantity y that is diffic...
We survey the problem of deciding the stability or stabilizability of uncertain linear systems whose...
This thesis deals with the analysis of the real µ problem as a powerful tool for measuring the stabi...
Complex systems (CS) involve many elements that interact at different scales in time and space. The ...
Numerical simulation is one of primary methods in which people study the property of chaotic systems...
AbstractWe explain why information-based complexity uses the real number model. Results in the real ...