OTHER
Stability of the second-order matrix polynomial
L.S. Shieh, Mohamad M. Mehio, H.M. Dib
- Year
- 1987
- Citations
- 63
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
Polynomial matrixMathematicsMatrix polynomialPolynomialMatrix (chemical analysis)InstabilityStability (learning theory)Characteristic polynomialLyapunov functionLyapunov equation
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