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baggepinnen committed Aug 29, 2023
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2 changes: 1 addition & 1 deletion README.md
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Expand Up @@ -13,7 +13,7 @@ Given a continuous-time dynamics function
```
this package contains *integrators* that convert the continuous-time dynamics into a discrete-time dynamics function
```math
x_{t+Ts} = f(x_t, u_t, p, t)
x_{t+T_s} = f(x_t, u_t, p, t)
```
that advances the state from time $t$ to time $t+T_s$, with a [Zero-order-Hold (ZoH)](https://en.wikipedia.org/wiki/Zero-order_hold) assumption on the input $u$.

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4 changes: 2 additions & 2 deletions docs/src/index.md
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Expand Up @@ -3,15 +3,15 @@
[![Build Status](https://github.com/baggepinnen/SeeToDee.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/baggepinnen/SeeToDee.jl/actions/workflows/CI.yml?query=branch%3Amain)


SeeToDee implements low-overhead, nonlinear variants of the classical [`c2d`](https://juliacontrol.github.io/ControlSystems.jl/dev/lib/synthesis/#ControlSystemsBase.c2d-Tuple{AbstractStateSpace{%3C:Continuous},%20AbstractMatrix,%20Real}) function from [ControlSystems.jl](https://github.com/JuliaControl/ControlSystems.jl).
SeeToDee implements low-overhead, nonlinear variants of the classical [`c2d`](https://juliacontrol.github.io/ControlSystems.jl/dev/lib/synthesis/#ControlSystemsBase.c2d) function from [ControlSystems.jl](https://github.com/JuliaControl/ControlSystems.jl).

Given a continuous-time dynamics function
```math
\dot x = f(x, u, p, t)
```
this package contains *integrators* that convert the continuous-time dynamics into a discrete-time dynamics function
```math
x_{t+Ts} = f(x_t, u_t, p, t)
x_{t+T_s} = f(x_t, u_t, p, t)
```
that advances the state from time ``t`` to time ``t+T_s``, with a [Zero-order-Hold (ZoH)](https://en.wikipedia.org/wiki/Zero-order_hold) assumption on the input ``u``.

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