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  2. State-space representation - Wikipedia

    en.wikipedia.org/wiki/State-space_representation

    The state space or phase space is the geometric space in which the axes are the state variables. The system state can be represented as a vector , the state vector . If the dynamical system is linear, time-invariant, and finite-dimensional, then the differential and algebraic equations may be written in matrix form.

  3. File:Typical State Space model with feedback.svg - Wikipedia

    en.wikipedia.org/wiki/File:Typical_State_Space...

    English: Block diagram showing how the matrices of the state space representation are combined to give the state and output vectors when a feedback is performed. Date December 2004

  4. State space (computer science) - Wikipedia

    en.wikipedia.org/wiki/State_space_(computer_science)

    Vacuum World, a shortest path problem with a finite state space. In computer science, a state space is a discrete space representing the set of all possible configurations of a "system". [1] It is a useful abstraction for reasoning about the behavior of a given system and is widely used in the fields of artificial intelligence and game theory.

  5. File:Typical State Space Model (General).svg - Wikipedia

    en.wikipedia.org/wiki/File:Typical_State_Space...

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  6. Realization (systems) - Wikipedia

    en.wikipedia.org/wiki/Realization_(systems)

    This state-space realization is called controllable canonical form (also known as phase variable canonical form) because the resulting model is guaranteed to be controllable (i.e., because the control enters a chain of integrators, it has the ability to move every state).

  7. State diagram - Wikipedia

    en.wikipedia.org/wiki/State_diagram

    A state diagram for a door that can only be opened and closed. A state diagram is used in computer science and related fields to describe the behavior of systems. State diagrams require that the system is composed of a finite number of states. Sometimes, this is indeed the case, while at other times this is a reasonable abstraction.

  8. Phase space - Wikipedia

    en.wikipedia.org/wiki/Phase_space

    The phase space of a physical system is the set of all possible physical states of the system when described by a given parameterization. Each possible state corresponds uniquely to a point in the phase space. For mechanical systems, the phase space usually consists of all possible values of the position and momentum parameters.

  9. State-transition matrix - Wikipedia

    en.wikipedia.org/wiki/State-transition_matrix

    The state-transition matrix is used to find the solution to a general state-space representation of a linear system in the following form ˙ = () + (), =, where () are the states of the system, () is the input signal, () and () are matrix functions, and is the initial condition at .