Title :
Stability robustness of interval matrices via Lyapunov quadratic forms
Author :
Garofalo, F. ; Celentano, G. ; Glielmo, L.
Author_Institution :
Dipartimento di Inf. e Sistemistica, Napoli Univ., Italy
fDate :
2/1/1993 12:00:00 AM
Abstract :
A sufficient condition for the robust stability of a class of interval matrices is derived using the Lyapunov approach. The matrices considered have elements which are nonlinear functions of a vector of independent and bounded parameters. The robust stability condition requires that a quadratic form be positive definite in a finite number of conspicuous points of an enlarged parameter space
Keywords :
Lyapunov methods; matrix algebra; stability; Lyapunov quadratic forms; interval matrices; nonlinear functions; robust stability; sufficient condition; Differential equations; Lyapunov method; Parametric study; Polynomials; Robust stability; Size measurement; State estimation; Sufficient conditions; Testing; Uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
