| abs | Entrywise magnitude of frequency response |
| acker | Pole placement design for single-input systems |
| allmargin | All
crossover frequencies and corresponding stability margins |
| append | Group LTI models by appending their inputs and outputs |
| augstate | Append state vector to output vector |
| balreal | Gramian-based input/output balancing of state-space realizations |
| balred | Model order reduction |
| bandwidth | Frequency response bandwidth |
| bdschur | Block-diagonal Schur factorization |
| blkdiag | Block-diagonal concatenation of LTI models |
| bode | Bode diagram of frequency response |
| bodemag | Bode magnitude response of LTI models |
| bodeoptions | Create list of Bode plot options |
| bodeplot | Plot Bode frequency response and return
plot handle |
| c2d | Convert from continuous-
to discrete-time models |
| canon | State-space canonical realization |
| care | Solve continuous-time algebraic Riccati equation |
| chgunits | Change frequency units of FRD model |
| conj | Form model with complex conjugate coefficients |
| connect | Arbitrary
interconnection of LTI models |
| covar | Output and state covariance of system driven
by white noise |
| ctrb | Controllability matrix |
| ctrbf | Compute controllability staircase
form |
| ctrlpref | Set Control System Toolbox preferences |
| d2c | Convert from discrete- to
continuous-time models |
| d2d | Resample discrete-time
LTI model or add input delay |
| damp | Natural frequency and damping of
system poles |
| dare | Solve discrete-time
algebraic Riccati equations (DAREs) |
| db2mag | Convert
decibels (dB) to magnitude |
| dcgain | Low-frequency (DC) gain of LTI system |
| delay2z | Replace delays of discrete-time TF, SS, or ZPK models
by poles at z=0, or replace delays of FRD models
by phase shift |
| delayss | Create state-space models with delayed terms |
| dlqr | Linear-quadratic (LQ) state-feedback regulator for discrete-time
state-space system |
| dlyap | Solve discrete-time Lyapunov equations |
| dlyapchol | Square-root solver for discrete-time Lyapunov equations |
| drss | Generate random discrete test model |
| dsort | Sort discrete-time poles by magnitude |
| dss | Specify descriptor state-space models |
| dssdata | Extract descriptor state-space data |
| esort | Sort continuous-time poles by real part |
| estim | Form state estimator given estimator gain |
| evalfr | Evaluate frequency response at given frequency |
| lti/exp | Create pure continuous-time delays |
| fcat | Concatenate FRD models along frequency dimension |
| feedback | Feedback connection of two LTI
models |
| filt | Specify discrete transfer functions in DSP format |
| fnorm | Pointwise peak gain of FRD model |
| frd | Create or convert to frequency-response data models |
| frdata | Access data for frequency response data (FRD) object |
| freqresp | Frequency response over frequency grid |
| fselect | Select frequency points or range in FRD model |
| gcare | Generalized solver for continuous-time algebraic Riccati
equation |
| gdare | Generalized solver for discrete-time algebraic Riccati
equation |
| gensig | Generate test input signals for lsim |
| get | Access LTI property
values |
| getdelaymodel | State-space representation of internal delays |
| getoptions | Return @PlotOptions handle or plot
options property |
| gram | Controllability and observability gramians |
| hasdelay | True for LTI model with time delays |
| hsvd | Compute Hankel singular values of LTI model |
| hsvoptions | Create list of Hankel singular value plot options |
| hsvplot | Plot Hankel singular values and return plot handle |
| imag | Imaginary part of FRD model |
| impulse | Impulse response of
LTI model |
| impulseplot | Plot impulse response and return plot handle |
| initial | Initial condition response of state-space model |
| initialplot | Plot initial condition response and return plot handle |
| interp | Interpolate FRD model |
| inv | Invert LTI systems |
| iopzmap | Plot pole-zero map for I/O pairs of LTI model |
| iopzplot | Plot pole-zero map for I/O pairs and return plot handle |
| isct, isdt | Determine
whether LTI model is continuous or discrete |
| isempty | Determine whether LTI model is empty |
| isproper | Determine whether LTI model
is proper |
| lti/isstable | Determine whether system is stable |
| issiso | Determine whether LTI model is single-input/single-output
(SISO) |
| kalman | Design
continuous- or discrete-time Kalman estimator |
| kalmd | Design discrete
Kalman estimator for continuous plant |
| lft | Generalized feedback interconnection of two LTI models
(Redheffer star product) |
| lqg | Continuous linear-quadratic-Gaussian (LQG) control synthesis |
| lqgreg | Form linear-quadratic-Gaussian
(LQG) regulator |
| lqgtrack | Form Linear-Quadratic-Gaussian (LQG) servo controller |
| lqi | Linear-Quadratic-Integral control |
| lqr | Linear-quadratic (LQ) state-feedback regulator for
state-space system |
| lqrd | Design discrete linear-quadratic (LQ) regulator for continuous
plant |
| lqry | Form linear-quadratic (LQ) state-feedback regulator with
output weighting |
| lsim | Simulate LTI model responses to arbitrary inputs |
| lsiminfo | Compute linear response characteristics |
| lsimplot | Simulate LTI model responses to arbitrary inputs and return
plot handle |
| ltimodels | Help on LTI models |
| ltiprops | Help on LTI model properties |
| ltiview | LTI
Viewer for LTI system response analysis |
| lyap | Solve continuous-time Lyapunov equation |
| lyapchol | Square-root solver for continuous-time Lyapunov equation |
| mag2db | Convert
magnitude to decibels (dB) |
| margin | Gain and phase margins and associated crossover frequencies |
| minreal | Minimal realization or pole-zero cancelation |
| modred | Model order reduction |
| modsep | Region-based modal decomposition |
| ndims | Provide number of dimensions of LTI model or LTI array |
| ngrid | Superimpose Nichols chart on Nichols plot |
| nichols | Nichols plot
of LTI models |
| nicholsoptions | Create list of Nichols plot options |
| nicholsplot | Plot Nichols frequency responses and return plot handle |
| norm | Compute LTI model norm |
| nyquist | Nyquist plot of LTI models |
| nyquistplot | Plot Nyquist frequency responses and return plot handle |
| obsv | Observability matrix |
| obsvf | Compute observability staircase
form |
| ord2 | Generate continuous second-order systems |
| lti/order | LTI model order |
| pade | Padé approximation of model with time delays |
| parallel | Parallel connection of two LTI models |
| place | Pole placement design |
| pole | Compute poles of LTI system |
| prescale | Optimal scaling of state-space models |
| pzmap | Compute pole-zero map of LTI models |
| pzplot | Plot pole-zero map of LTI model and return plot handle |
| pzoptions | Create list of pole/zero plot options |
| real | Real part of frequency response for FRD model |
| reg | Form
regulator given state-feedback and estimator gains |
| reshape | Change shape of LTI array |
| rlocus | Evans root locus |
| rlocusplot | Plot root locus and return plot handle |
| rss | Generate random continuous
test model |
| series | Series connection of two LTI models |
| set | Set or modify
LTI model properties |
| setdelaymodel | Create internal delays of state-space model |
| setoptions | Set plot options for response plot |
| sgrid | Generate s-plane grid of constant damping factors and
natural frequencies |
| sigma | Plot singular values of LTI models |
| sigmaoptions | Create list of singular-value plot options |
| sigmaplot | Plot singular values of frequency response and return
plot handle |
| sisoinit | Configure SISO Design Tool at startup |
| sisotool | Initialize SISO Design Tool |
| size | Provide output/input/array dimensions of LTI model and
number of frequencies of FRD model |
| sminreal | Perform model reduction based on structure |
| ss | Specify state-space models or convert LTI model to state
space |
| ss2ss | State coordinate
transformation for state-space model |
| ssdata | Access state-space model data |
| stabsep | Stable/unstable decomposition of LTI model |
| stack | Build LTI array by stacking LTI models or LTI arrays along
array dimensions |
| step | Step response of LTI systems |
| stepinfo | Compute step response characteristics |
| stepplot | Plot step response of LTI systems and return plot handle |
| strseq | Create sequence of indexed strings |
| sumblk | Specify summing junctions in name-based interconnections |
| tf | Create or convert to transfer function model |
| tfdata | Access
transfer function data |
| timeoptions | Create list of time plot options |
| totaldelay | Total combined I/O delays for LTI model |
| upsample | Upsample discrete-time
LTI systems |
| xperm | Reorder states in state-space models |
| zero | Transmission zeros of
LTI model |
| zgrid | Generate z-plane grid of constant damping factors and
natural frequencies |
| zpk | Create or convert to zero-pole-gain model |
| zpkdata | Access zero-pole-gain data |
Store 
Function Reference
