Hard Disk Drive Servo Systems, 2nd Edition
Reflecting recent improvements in spindle speed, bit density, and other changes in this fast-moving field, this monograph focuses on the applications of some newly developed results in control theory.
TABLE OF CONTENTS Hard Disk Drive Servo Systems, 2nd Edition
Notation
We adopt the following notation and abbreviations throughout this monograph.
| ? | the set of real numbers |
| ? | the entire complex plane |
| ? ? | the set of complex numbers inside the unit circle |
| ? ? | the set of complex numbers outside the unit circle |
| ? ? | the unit circle in the complex plane |
| ? - | the open left-half complex plane |
| ? + | the open right-half complex plane |
| ? 0 | the imaginary axis in the complex plane |
| I | an identity matrix |
| I k | an identity matrix of dimension k k |
| X' | the transpose of X |
| X H | the complex conjugate transpose of X |
| Im ( X) | the range space of X |
| Ker ( X) | the null space of X |
| X | the Moore-Penrose (pseudo) inverse of X |
| ?( X) | the set of eigenvalues of X |
| ? max( X) | the maximum eigenvalue of X |
| ? max( X) | the maximum singular value of X |
| X | the usual 2-norm of a matrix X |
| G 2 | the H 2-norm of a stable system G( s) or G ( z) |
| g 2 | the l 2-norm of a signal g( t) or g( k) |
| L 2 | the set of all functions whose l 2 norms are finite |
| g p | the l p-norm of a signal g( t) or g( k) |
| L p | the set of all functions whose l p-norms... |
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