[latexpage]Create $\Delta$-blocks

The first step in applying IQClab is to create uncertainty and performance blocks and associate each of them with the corresponding in- and outputs of the plant $M$ . This proceeds by means of the class iqcdelta, which allows to:

create uncertainty/performance blocks/objects as instance of the class iqcdelta;
associate each of these block with the corresponding in- and output channels of the plant $M$ ;
assign the nature of the uncertainties to the blocks (linear/nonlinear, time-invariant/time-varying, static/dynamic, diagonal/full-block);
assign the properties of the uncertainties to the blocks (bounds, rate-bounds, norm-bounds, sector-bounds, slope-bounds, polytope, delay-time, delay-type, passive, performance metric, etc.);
combine uncertainty blocks into larger structured ones.

By specifying $\delta=iqcdelta('name')$ , one defines an empty uncertainty object. To specify properties, one can proceed in different fashions:

\[\begin{array}{c}\delta=iqcdelta('name', 'prop1','value1',\ldots\\\ldots,'propN','valueN').\end{array}\]

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Option	Description
1	For $\delta=iqcdelta('name', varargin)$ the inputs come in pairs and can be specified by $\begin{array}{c}\delta=iqcdelta('name', 'prop1','value1',\ldots\\\ldots,'propN','valueN').\end{array}$
2	The properties can also be set by defining a structure $\begin{array}{c} options.prop1=value1\\\vdots\\options.propN=valueN\end{array}$ and subsequently specifying $\delta=iqcdelta('name', options).$
3	Finally, the properties can be set and retrieved respectively by $set('\delta','propertyX','valueX')$ and $get('\delta','propertyX').$