Title :
A procedure for the positive definiteness of forms of even order
Author :
Hasan, Mohammed A. ; Hasan, Ali A.
Author_Institution :
Dept. of Electr. Eng., Colorado State Univ., Fort Collins, CO, USA
fDate :
4/1/1996 12:00:00 AM
Abstract :
A positivity method for forms of even order is reported. It is shown that testing for positivity of such forms can be reduced to a test for positive definiteness of parametric-matrices. Special emphasis is placed on quartic- and sixth-order forms. Examples are given to illustrate the proposed criterion
Keywords :
matrix algebra; minimisation; quadratic programming; transfer functions; even order forms; parametric-matrices; positive definiteness; quartic-order forms; sixth-order forms; Algebra; Filtering theory; Filters; Lagrangian functions; Lyapunov method; Output feedback; Quadratic programming; Sufficient conditions; Symmetric matrices; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on
