% -*- texinfo -*- % @deftypefn {Function File} {} dgram (@var{a}, @var{b}) % Return controllability gramian of discrete time system % @iftex % @tex % $$ x_{k+1} = ax_k + bu_k $$ % @end tex % @end iftex % @ifinfo % @example % x(k+1) = a x(k) + b u(k) % @end example % @end ifinfo % % @strong{Inputs} % @table @var % @item a % @var{n} by @var{n} matrix % @item b % @var{n} by @var{m} matrix % @end table % % @strong{Output} % @table @var % @item m % @var{n} by @var{n} matrix, satisfies % @iftex % @tex % $$ ama^T - m + bb^T = 0 $$ % @end tex % @end iftex % @ifinfo % @example % a m a' - m + b*b' = 0 % @end example % @end ifinfo % @end table % @end deftypefn