# ContDescriptorStateSpace

This block implements a continuous-time, linear, implicit state-space system specified by the A, B, C, D, E matrices, the initial state vector, and the equation, E*der(x)=A*x+B*u.

## Library

AdvancedDynamical

## Description

This block implements a continuous-time implicit state-space system govorned by following equations:

## Parameters

Name | Label | Description | Data Type | Valid Values |
---|---|---|---|---|

| A matrix | Real nxn matrix where n is the number of states, default value -1. | Matrix | |

| B matrix | Real nxm matrix where n is the number of states and m is the number of inputs, default value: 1. B=[ ] if block has no input. | Matrix | |

| C matrix | Real rxn matrix, default value: 1. r is the number of outputs and n is the number of states. | Matrix | |

| D matrix | Real rxm matrix where r is the number of outputs and m is the number of inputs, default value: 0. | Matrix | |

| E matrix | Real nxn matrix where n is the number of states, default value 1. This matrix can be singular. | Matrix | |

| Initial state | Vector of size n or scalar (expanded to a vector of size n). | Matrix |

## Ports

Name | Type | Description | IO Type | Number |
---|---|---|---|---|

| explicit | output | 1 | |

| explicit | input | 1 |

## Advanced Properties

Name | Value | Description |
---|---|---|

| yes | |

| no, except when D not zero | |

| no | |

| no | |

| yes, except when n is zero | |

| no |