Linear Analysis
- Controllability Observability
- abinv — AB invariant subspace
- cainv — Dual of abinv
- cont_mat — controllability matrix
- contr — controllability, controllable subspace, staircase
- contrss — controllable part
- ctr_gram — controllability gramian
- dt_ility — detectability test
- obs_gram — observability gramian
- obscont — observer based controller
- observer — observer design
- obsv_mat — observability matrix
- obsvss — observable part
- ui_observer — unknown input observer
- unobs — unobservable subspace
- Frequency Domain
- black — Black-Nichols diagram of a linear dynamical system
- bode — Bode plot
- bode_asymp — Bode plot asymptote
- calfrq — frequency response discretization
- dbphi — frequency response to phase and magnitude representation
- freq — frequency response
- freson — peak frequencies
- gainplot — magnitude plot
- hallchart — Draws a Hall chart
- nicholschart — Nichols chart
- nyquist — nyquist plot
- nyquistfrequencybounds — Computes the frequencies for which the nyquist locus enters and leaves a given rectangle.
- phasemag — phase and magnitude
computation
- phaseplot — frequency phase plot
- repfreq — frequency response
- svplot — singular-value sigma-plot
- trzeros — transmission zeros and normal rank
- Stability
- bstap — hankel approximant
- dtsi — Continuous time dynamical systems stable anti-stable decomposition
- evans — Evans root locus
- g_margin — gain margin and associated crossover frequency
- p_margin — phase margin and associated crossover frequency
- plzr — график нулей и полюсов
- routh_t — Routh's table
- sgrid — draws a s-plane grid
- show_margins — display gain and phase margin and associated crossover frequencies
- st_ility — stabilizability test
- zgrid — zgrid plot
- Time Domain
- arsimul — armax simulation
- csim — simulation (time response) of linear system
- damp — Natural frequencies and damping factors.
- dsimul — state space discrete time simulation
- flts — time response (discrete time, sampled system)
- ltitr — discrete time response (state space)
- narsimul — armax simulation (using rtitr)
- rtitr — discrete time response (transfer matrix)
- sensi — sensitivity functions