Title :
A differential-algebraic condition for controllability and observability of time varying linear systems
Author_Institution :
Dept. of Numerical Anal., Eotvos Lorand Sci. Univ., Budapest, Hungary
Abstract :
An algebraic rank condition for controllability and observability of time-varying linear systems is given. The time-varying structure matrix is expanded in generated Lie algebra, with respect to a basis. It is proved that under a differential-algebraic condition for the time-dependent coefficients, controllability and observability are equivalent to a multivariable Kalman´s condition, independent of the time-dependent terms
Keywords :
Lie algebras; controllability; linear systems; matrix algebra; observability; time-varying systems; Lie algebra; algebraic rank condition; controllability; differential-algebraic condition; multivariable Kalman´s condition; observability; time varying linear systems; time-varying structure matrix; Algebra; Artificial intelligence; Control systems; Controllability; Differential equations; Kalman filters; Linear systems; Numerical analysis; Observability; Time varying systems;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371050
