LTI Models

    Linear, Time-Invariant Models
        LTI Model Formats
        Using LTI Models
        LTI Objects
        Precedence Rules
        Viewing LTI Systems As Matrices
        LTI Command Summary

    Creating LTI Models
        Transfer Function Models
        Zero-Pole-Gain Models
        State-Space Models
        Descriptor State-Space Models
        Frequency Response Data (FRD) Models
        Discrete-Time Models
        Data Retrieval

    LTI Properties
        Generic LTI Properties
        Model-Specific Properties
        Setting LTI Properties
        Accessing Property Values Using get
        Direct Property Referencing Using Dot Notation
        Additional Insight into LTI Properties

    Model Conversion
        Explicit Conversion
        Automatic Conversion
        Caution About Model Conversions

    Time Delays
        Functions that Support Time Delays
        Specifying Input/Output Delays
        Distillation Column Example
        Specifying Delays on the Inputs or Outputs
        Specifying Delays in Discrete-Time Models
        Retrieving Information About Delays
        Padé Approximation of Time Delays

    Simulink Block for LTI Systems
    References

Operations on LTI Models

    Overview
    Precedence and Property Inheritance
    Extracting and Modifying Subsystems
        Basic Subsystem Concepts
        Referencing FRD Models Through Frequencies
        Referencing Channels by Name
        Resizing LTI Systems

    Arithmetic Operations on LTI Models
        Addition and Subtraction
        Multiplication
        Inversion and Related Operations
        Transposition
        Pertransposition

    Model Interconnection Functions
        Concatenation of LTI Models
        Feedback and Other Interconnection Functions

    Continuous/Discrete Conversions of LTI Models
        Zero-Order Hold
        First-Order Hold
        Tustin Approximation
        Tustin with Frequency Prewarping
        Matched Poles and Zeros
        Discretization of Systems with Delays

    Resampling of Discrete-Time Models
    References

Model Analysis Tools

    General Model Characteristics
    Model Dynamics
    State-Space Realizations

Arrays of LTI Models

    The Concept of an LTI Array
        When to Use an LTI Array
        When to Collect a Set of Models in an LTI Array
        Restrictions for LTI Models Collected in an Array
        Where to Find Information on LTI Arrays
        Visualizing LTI Arrays
        Higher Dimensional Arrays of LTI Models

    Dimensions, Size, and Shape of an LTI Array
        I/O and Array Dimensions of LTI Arrays
        Accessing the Dimensions of an LTI Array Using size and ndims
        Using reshape to Rearrange an LTI Array

    Building LTI Arrays
        Building LTI Arrays Using for Loops
        Building LTI Arrays Using the stack Function
        Building LTI Arrays Using tf, zpk, ss, and frd
        Generating Random LTI Arrays Using rss

    Indexing Into LTI Arrays
        Accessing Particular Models in an LTI Array
        Extracting LTI Arrays of Subsystems
        Reassigning Parts of an LTI Array
        Deleting Parts of an LTI Array

    Operations on LTI Arrays
        Example: Addition of Two LTI Arrays
        Dimension Requirements
        Special Cases for Operations on LTI Arrays
        Other Operations on LTI Arrays