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gitweb.michael.orlitzky.com - mjotex.git/blob - mjo-cone.tex
4 % The operator families Z(K), LL(K), etc. can technically be defined on
5 % sets other than cones, but nobody cares.
8 \usepackage{amssymb
} % \succcurlyeq and friends
12 % The set of all S-operators on its argument.
13 \newcommand*
{\Sof}[1]{ \mathbf{S
} \of{ {#1} } }
15 % The cone of all Z-operators on its argument.
16 \newcommand*
{\Zof}[1]{ \mathbf{Z
} \of{ {#1} } }
18 % The space of Lyapunov-like operators on its argument.
19 \newcommand*
{\LL}[1]{ \mathbf{LL
}\of{ {#1} } }
21 % Cone inequality operators.
22 \newcommand*
{\gek}{ \succcurlyeq }
23 \newcommand*
{\gtk}{ \succ }
24 \newcommand*
{\lek}{ \preccurlyeq }
25 \newcommand*
{\ltk}{ \prec }
27 % Starred versions of the cone inequality operators.
28 \newcommand*
{\ineqkstar}[1]{ \mathrel{ \overset{ _
{\ast} }{ #1 } } }
29 \newcommand*
{\gekstar}{ \ineqkstar{\gek} }
30 \newcommand*
{\gtkstar}{ \ineqkstar{\gtk} }
31 \newcommand*
{\lekstar}{ \ineqkstar{\lek} }
32 \newcommand*
{\ltkstar}{ \ineqkstar{\ltk} }
34 % And negated versions of some of those...
35 \newcommand*
{\ngeqkstar}{ \ineqkstar{\nsucceq} }
36 \newcommand*
{\ngtrkstar}{ \ineqkstar{\nsucc} }