The Kronecker indices of affine-nonlinear control systems
- 1 December 1985
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 10, 371-374
- https://doi.org/10.1109/cdc.1985.268889
Abstract
Kronecker indices of smooth affine-nonlinear control systems (x)= Γ0(x) + u1η1(x) +...+ um Γm(x) x Γ Rn are defined. It is shown they determine the collection of controllable linear systems which can be obtained from the system using local feedback equivalences and state-space reductions.Keywords
This publication has 5 references indexed in Scilit:
- Robust Feedback Linearization Control for a non Linearizable MIMO Nonlinear System in the Presence of Model UncertaintiesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2006
- Partial and robust linearization by feedbackPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1983
- Symmetries and reduced linearization: Part IIPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1983
- Applications of Algebraic Geometry to Systems Theory: The McMillan Degree and Kronecker Indices of Transfer Functions as Topological and Holomorphic System InvariantsSIAM Journal on Control and Optimization, 1978
- On the Equivalence of Control Systems and the Linearization of Nonlinear SystemsSIAM Journal on Control, 1973