Mathematical Modeling of Smart Space for Context-Aware System: Linear Algebraic Representation of State-Space Method Based Approach

Algorithm 1

Linear model (, , , ).

Data: input-state coefficient matrix , state-output coefficient matrix , at a given

time, List of input , List of state , input vector , state vector

Result: Situation

(1)  , initialization;

/ Next state calculation /

(2)  for   to   do

   /   is the total no. of inputs in list of input   /

(3)  ;

(4) end

(5)  ;

(6)  for   to do

   /   is the total no. of inputs in list of input   /

(7)  ;

(8) end

(9)  ;