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  2. Block diagram - Wikipedia

    en.wikipedia.org/wiki/Block_diagram

    An example of this is the function block diagram, one of five programming languages defined in part 3 of the IEC 61131 (see IEC 61131-3) standard that is highly formalized (see formal system), with strict rules for how diagrams are to be built. Directed lines are used to connect input variables to block inputs, and block outputs to output ...

  3. Block matrix - Wikipedia

    en.wikipedia.org/wiki/Block_matrix

    In mathematics, a block matrix or a partitioned matrix is a matrix that is interpreted as having been broken into sections called blocks or submatrices. [1] [2]Intuitively, a matrix interpreted as a block matrix can be visualized as the original matrix with a collection of horizontal and vertical lines, which break it up, or partition it, into a collection of smaller matrices.

  4. Block graph - Wikipedia

    en.wikipedia.org/wiki/Block_graph

    In graph theory, a branch of combinatorial mathematics, a block graph or clique tree [1] is a type of undirected graph in which every biconnected component (block) is a clique. Block graphs are sometimes erroneously called Husimi trees (after Kôdi Husimi ), [ 2 ] but that name more properly refers to cactus graphs , graphs in which every ...

  5. Control theory - Wikipedia

    en.wikipedia.org/wiki/Control_theory

    Extensive use is usually made of a diagrammatic style known as the block diagram. In it the transfer function, also known as the system function or network function, is a mathematical model of the relation between the input and output based on the differential equations describing the system.

  6. Functional block diagram - Wikipedia

    en.wikipedia.org/wiki/Functional_block_diagram

    A functional block diagram, in systems engineering and software engineering, is a block diagram that describes the functions and interrelationships of a system. The functional block diagram can picture: [1] functions of a system pictured by blocks; input and output elements of a block pictured with lines; the relationships between the functions ...

  7. State-space representation - Wikipedia

    en.wikipedia.org/wiki/State-space_representation

    In control engineering and system identification, a state-space representation is a mathematical model of a physical system that uses state variables to track how inputs shape system behavior over time through first-order differential equations or difference equations.

  8. Proportional–integral–derivative controller - Wikipedia

    en.wikipedia.org/wiki/Proportional–integral...

    A block diagram of a PID controller in a feedback loop. r(t) is the desired process variable (PV) or setpoint (SP), and y(t) is the measured PV. The distinguishing feature of the PID controller is the ability to use the three control terms of proportional, integral and derivative influence on the controller output to apply accurate and optimal ...

  9. Jordan matrix - Wikipedia

    en.wikipedia.org/wiki/Jordan_matrix

    This (n 1 + ⋯ + n r) × (n 1 + ⋯ + n r) square matrix, consisting of r diagonal blocks, can be compactly indicated as ,, or (,, …,,), where the i-th Jordan block is J λ i,n i. For example, the matrix = [] is a 10 × 10 Jordan matrix with a 3 × 3 block with eigenvalue 0, two 2 × 2 blocks with eigenvalue the imaginary unit i, and a 3 × ...

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