Title :
A controllability counterexample
Author :
Elliott, David L.
Author_Institution :
Inst. for Syst. Res., Univ. of Maryland, College Park, MD, USA
fDate :
6/1/2005 12:00:00 AM
Abstract :
Simulation by time discretizations can be qualitatively misleading; as counterexamples a class of noncontrollable single-input two-dimensional bilinear control systems is presented whose Euler discretizations are controllable on the punctured plane.
Keywords :
bilinear systems; controllability; multidimensional systems; Euler discretizations; controllability counterexample; noncontrollable single-input two-dimensional bilinear control systems; punctured plane; time discretizations; Computer simulation; Control system synthesis; Control systems; Controllability; Difference equations; Instruction sets; Jacobian matrices; Nonlinear control systems; Spirals; Symmetric matrices; Bilinear systems; controllability; difference equations;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.849223
