You are here : Control System Design - Index | Book Contents | Appendix A

## A. Notation, Symbols, and Acronyms

To download a PDF version of this document for printing, right mouse click here.

Notation Meaning Continuous-time variable Continuous-time signal Discrete-time variable Discrete-time sequence Sampling period Sampled version of  Delta operator forward shift operator Kronecker delta Dirac delta Expected value of ... Controllability matrix in state space description Observability matrix in state space description Set of eigenvalues of matrix ... unit step (continuous time) at time  unit step (discrete time) at time  Dirac impulse-sampled version of  Fourier transform of ... Laplace transform of ... Delta-transform of ... Z-transform of ... inverse Fourier transform of ... inverse Laplace transform of ... inverse Delta-transform of ... inverse Z-transform of ... Laplace-transform complex variable angular frequency Delta-transform complex variable Z-transform complex variable Fourier transform of  Laplace transform of  Delta-transform of  Z-transform of  Time convolution of and  Complex convolution of and  real part of ... imaginary part of ... set of all matrices with complex entries Hilbert space of those functions square-integrable along the imaginary axis and analytic in the right-half plane Hilbert space of those functions absolutely integrable along the imaginary axis Hilbert space of those functions square-integrable along the imaginary axis. Hilbert space of those functions bounded along the imaginary axis and analytic in the right-half plane Hilbert space of those rational functions bounded along the imaginary axis and analytic in the right-half plane Hilbert space of those functions bounded along the imaginary axis. set of all natural numbers set of real numbers larger than zero set of real numbers smaller than zero set of all matrices with real entries set of all real rational functions with (finite) poles strictly inside the LHP set of all integer numbers Matrix where the element in the row and column is denoted by  element in the row and of matrix   row of matrix   columm of matrix  complex conjugate of ... transfer function of a zero-order hold transfer function of a first-order hold operator notation, i.e. operates on ... composite operators, i.e.,  identity matrix in d.c. direct current, i.e., zero-frequency signal
d.o.f. degrees of freedom
CTARE Continuous-Time Algebraic Riccati Equation
DTARE Discrete-Time Algebraic Riccati Equation
CTDRE Continuous-Time Dynamic Riccati Equation
DTDRE Discrete-Time Dynamic Riccati Equation
IMC Internal Model Control
IMP Internal Model Principle
LHP left half-plane
OLHP open left half-plane
RHP right half- plane
ORHP open right-half plane
NMP nonminimum phase
MFD Matrix fraction description
LMFD Left matrix fraction description
RMFD Right matrix fraction description
LTI Linear time invariant
LQR Linear quadratic regulator
w.r.t with respect to ... Previous Up - Book Contents Next