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In control theory, the state-transition matrix is a matrix whose product with the state vector at an initial time gives at a later time . The state-transition matrix can be used to obtain the general solution of linear dynamical systems.
In control theory, we may need to find out whether or not a system such as ... is the state transition matrix of ˙ = (), is ...
In cases where the dimension of the observation vector y is bigger than the dimension of the state space vector x, the information filter can avoid the inversion of a bigger matrix in the Kalman gain calculation at the price of inverting a smaller matrix in the prediction step, thus saving computing time.
The exact definition varies slightly within the framework or the type of models applied. The following are examples of variations of controllability notions which have been introduced in the systems and control literature: State controllability; Output controllability; Controllability in the behavioural framework
In systems theory, a realization of a state ... because the control ... where is the state-transition matrix associated with the realization. [1] System ...
In control engineering and system identification, a state-space representation is a mathematical model of a physical system specified as a set of input, output, and variables related by first-order differential equations or difference equations.
Control theory [ edit ] The fundamental matrix is used to express the state-transition matrix , an essential component in the solution of a system of linear ordinary differential equations.
In control theory, the observability and controllability of a linear system are mathematical duals. ... where is the state-transition matrix. It is possible to ...