论文信息 - A simple method for determining the reachable set for linear discrete systems

A simple method for determining the reachable set for linear discrete systems

A simple method is described for determining the reachable set R N of an n th-order linear discrete system N > n for a single bounded input. The method proposed reduces the problem from solving a set of ( n - 1 ) simultaneous equations to a simpler one, requiring only the evaluation of two inner products.

M. Rasmy | M. Hamza

[1] C. Desoer,et al. The minimal time regulator problem for linear sampled-data systems: General theory☆ , 1961 .

[2] C. Desoer,et al. A minimal time discrete system , 1961 .

[3] Yu-Chi Ho. Solution Space Approach to Optimal Control Problems , 1961 .

[4] C. Desoer,et al. Comment on "An optimal strategy for a saturating sampled-data system" , 1961 .

[5] C. Desoer,et al. The multiple-input minimal time regulator problem (General theory) , 1963 .

[6] R. W. Koepcke. A Solution to the Sampled, Minimum-Time Problem , 1964 .

[7] G. Ludyk. Zeitoptimale Abtastsysteme mit Beschränkung der Stellgröße , 1968 .

[8] Jeng-Shiaw Lin. Determination of reachable set for a linear discrete system , 1970 .