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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.
English: Block diagram showing how the matrices of the state space representation are combined to give the state and output vectors from the input. Date December 2004
Pages for logged out editors learn more. Contributions; Talk; State Space Model
If the size of the state space is finite, calculating the size of the state space is a combinatorial problem. [4] For example, in the Eight queens puzzle, the state space can be calculated by counting all possible ways to place 8 pieces on an 8x8 chessboard. This is the same as choosing 8 positions without replacement from a set of 64, or
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 .
A state-space model is a representation of a system in which the effect of all "prior" input values is contained by a state vector. In the case of an m-d system, each dimension has a state vector that contains the effect of prior inputs relative to that dimension. The collection of all such dimensional state vectors at a point constitutes the ...
The state of a system described by a state space representation. A state vector (geographical) specifies the position and velocity of an object in any location on Earth's surface; Orbital state vectors are vectors of position and velocity that together with their time, uniquely determine the state of an orbiting body in astrodynamics or in ...
State-space representation, a particular type of a mathematical model of a physical system, used in control engineering and in satellite navigation People [ edit ]