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# TCLSS

Continuous linear system with jump

### Description

This block realizes a continuous-time linear state-space system with the possibility of jumps in the state. The number of inputs to this block is two. The first input is the regular input of the linear system, the second carries the new value of the state which is copied into the state when an event arrives at the unique event input port of this block. That means the state of the system jumps to the value present on the second input (of size equal to that of the state). The system is defined by the matrices and the initial state . The dimensions must be compatible. The sizes of inputs and outputs are adjusted automatically.

### Dialog box

• A matrix

square matrix.

Properties : Type 'mat' of size [-1,-1].

• B matrix

The matrix, [] if system has no input.

Properties : Type 'mat' of size ["size(%1,2)","-1"].

• C matrix

The matrix , [] if system has no output.

Properties : Type 'mat' of size ["-1","size(%1,2)"].

• D matrix

The matrix, [] if system has no D term.

Properties : Type 'mat' of size [-1,-1].

• Initial state

A vector/scalar initial state of the system.

Properties : Type 'vec' of size "size(%1,2)".

### Default properties

• always active: yes

• direct-feedthrough: no

• zero-crossing: no

• mode: no

• regular inputs:

- port 1 : size [1,1] / type 1

- port 2 : size [1,1] / type 1

• regular outputs:

- port 1 : size [1,1] / type 1

• number/sizes of activation inputs: 1

• number/sizes of activation outputs: 0

• continuous-time state: yes

• discrete-time state: no

• object discrete-time state: no

• name of computational function: tcslti4

### Interfacing function

• SCI/modules/scicos_blocks/macros/Linear/TCLSS.sci

### Computational function

• SCI/modules/scicos_blocks/src/c/tcslti4.c (Type 4)

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