Title
Quadratic characterization and use of output stabilizable subspaces
Abstract
This note treats the problem of stabilization of linear systems by static output feedback using the concept of (C, A, B)-invariant subspaces. The work provides a new characterization of output stabilizable (C, A, B)-invariant subspaces through two coupled quadratic stabilization conditions. An equivalence is shown between the existence of a solution to this set of conditions and the possibility to stabilize the system by static output feedback. An algorithm is provided and numerical examples are reported to illustrate the approach.
Year
DOI
Venue
2003
10.1109/TAC.2003.809774
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Feedback,Hydraulic actuators,Asymptotic stability,Automatic control,Nonlinear systems,Nonlinear dynamical systems,Robust control,Nonlinear control systems,Control systems
Mathematical optimization,Linear system,Invariant (physics),Control theory,Quadratic equation,Linear subspace,Exponential stability,Equivalence (measure theory),Convex optimization,Mathematics
Journal
Volume
Issue
ISSN
48
4
0018-9286
Citations 
PageRank 
References 
2
1.22
9
Authors
3
Name
Order
Citations
PageRank
E. B. Castelan1102.29
J.-C. Hennet221.22
E. R. L. Villarreal321.22