A simple method for determining the reachable set for linear discrete systems
Author :
Hamza, Mirza ; Rasmy, Mohamed
Author_Institution :
University of Calgary, Calgary, Alberta, Canada
Volume :
16
Issue :
3
fYear :
1971
fDate :
6/1/1971 12:00:00 AM
Firstpage :
281
Lastpage :
282
Abstract :
A simple method is described for determining the reachable set RNof an th-order linear discrete system for a single bounded input. The method proposed reduces the problem from solving a set of ( ) simultaneous equations to a simpler one, requiring only the evaluation of two inner products.
Keywords :
Linear systems, time-invariant discrete-time; Time-optimal control; Automatic control; Control systems; Councils; Equations; Linear matrix inequalities; Optimal control; Sampling methods; System performance; Vectors;