On the solvability of the constrained Lyapunov problem
IEEE Transactions on Automatic Control
Institute of Electrical and Electronics Engineers (IEEE)
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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. © 2007 IEEE.
Vol. 52, Iss.10, pp. 1982 - 1987