Title :
PD-spectral theory for multivariable linear time-varying systems
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
In this paper a recently developed differential algebraic spectral theory for scalar linear time-varying (LTV) systems is extended to the more general class of multivariable (MV) LTV systems. LTV counterparts of the left-half-plane stability criterion, PBH type controllability and observability tests, and stabilization and decoupling by eigenstructure assignment are developed. The results can be applied to nonlinear tracking and decoupling by trajectory linearization without resorting to ad hoc gain scheduling
Keywords :
controllability; eigenstructure assignment; linear systems; multivariable systems; observability; spectral analysis; stability criteria; time-varying systems; controllability; decoupling; differential algebraic spectral theory; eigenstructure assignment; linear systems; multivariable systems; observability; parallel differential spectra; stability criterion; stabilization; time-varying systems; trajectory linearization; Controllability; Eigenvalues and eigenfunctions; Observability; Polynomials; Robust control; Stability analysis; Stability criteria; Testing; Time varying systems; Trajectory;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652473
