Title :
Comments, with reply, on "The controllability of planar bilinear systems" by D.E. Koditschek and K.S. Narendra
Author :
Piechottka, U. ; Koditschek, Daniel E. ; Narendra, K.S.
Author_Institution :
Dept. of Electr. Eng., Duisburg Univ., West Germany
fDate :
6/1/1990 12:00:00 AM
Abstract :
In the above-titled study (ibid., vol.AC-30, p.87-89, Jan. 1985) two classes of bilinear systems in the plane are examined, and it is claimed that necessary and sufficient conditions for complete controllability of both classes are derived. The commenter shows that the conditions for one of these classes are only sufficient. A counterexample is given. The authors briefly review their work and concede that the relevant theorem is incorrect.<>
Keywords :
controllability; linear systems; nonlinear systems; controllability; necessary and sufficient conditions; planar bilinear systems; Algebra; Control systems; Controllability; Eigenvalues and eigenfunctions; Nonlinear equations; Nonlinear systems; State-space methods; Symmetric matrices; Transmission line matrix methods;
Journal_Title :
Automatic Control, IEEE Transactions on
