Title :
Stability of the second-order matrix polynomial
Author :
Shieh, Leang S. ; Mehio, Mohamad M. ; Dib, Hani M.
Author_Institution :
University of Houston, Houston, TX, USA
fDate :
3/1/1987 12:00:00 AM
Abstract :
This note summarizes some existing stability and instability conditions of the second-order matrix polynomial which arises in the formulation of classical mechanics, aerodynamics, and robotic systems. Also, some sufficient conditions for stability or instability of the second-order matrix polynomial are newly developed via the relevant linear matrix equation obtained from the Lyapunov theory.
Keywords :
Lyapunov matrix equations; Polynomial matrices; Stability, linear systems; Aerodynamics; Damping; Differential equations; Missiles; Polynomials; Robots; Stability; Sufficient conditions; Symmetric matrices; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1987.1104572
