Title :
On the Solvability of the Constrained Lyapunov Problem
Author :
Edwards, Christopher ; Yan, Xing-Gang ; Spurgeon, Sarah K.
Author_Institution :
Leicester Univ., Leicester
Abstract :
This paper considers system theoretic conditions for the solvability of the so-called constrained Lyapunov problem for nonsquare systems. These problems commonly appear in the control systems literature. Both a static output feedback problem and an observer problem are considered. The basis for the work described in this paper is a new canonical form that simplifies the analysis and deals with the equality constraint in a simple way.
Keywords :
Lyapunov methods; computability; control system synthesis; feedback; observers; constrained Lyapunov problem; control systems literature; equality constraint; nonsquare systems; observer problem; solvability; static output feedback problem; Constraint theory; Control systems; Equations; Linear matrix inequalities; Linear systems; Lyapunov method; Nonlinear systems; Output feedback; Stability; Symmetric matrices; Constrained Lyapunov problem; linear matrix inequalities (LMIs); nonlinear observers; output feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.904324
