Title :
A parameter-dependent Lyapunov function for a polytope of matrices
Author :
Mori, T. ; Kokame, H.
Author_Institution :
Dept. of Electron. & Inf. Sci., Kyoto Inst. of Technol., Japan
fDate :
8/1/2000 12:00:00 AM
Abstract :
A new sufficient condition for a polytope of matrices to be Hurwitz-stable is presented. The stability is a consequence of the existence of a parameter-dependent quadratic Lyapunov function, which is assured by a certain linear constraint for generating extreme matrices of the polytope. The condition can be regarded as a duality of the known extreme point result on quadratic stability of matrix polytopes, where a fixed quadratic Lyapunov function plays the role. The obtained results are applied to a polytope of second-degree polynomials for illustration
Keywords :
Lyapunov matrix equations; duality (mathematics); stability criteria; Hurwitz-stability condition; duality; extreme matrix generation; extreme point result; linear constraint; matrix polytopes; parameter-dependent quadratic Lyapunov function; quadratic stability; second-degree polynomials; Control system synthesis; Information science; Lyapunov method; Polynomials; Stability; Sufficient conditions; Uncertain systems; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
