In control theory, the state-transition matrix is a matrix whose product with the state vector x {\displaystyle x} at an initial time t 0 {\displaystyle...
7 KB (1,216 words) - 07:16, 27 May 2024
matrix used to describe the transitions of a Markov chain. State-transition matrix, a matrix whose product with the state vector x {\displaystyle x} at...
405 bytes (97 words) - 17:09, 29 January 2021
In probability theory, a transition-rate matrix (also known as a Q-matrix, intensity matrix, or infinitesimal generator matrix) is an array of numbers...
4 KB (563 words) - 17:15, 25 December 2023
It is also called a probability matrix, transition matrix, substitution matrix, or Markov matrix. The stochastic matrix was first developed by Andrey Markov...
18 KB (2,726 words) - 14:06, 6 September 2024
Controllability (section State controllability)
t)B(t)B(t)^{T}\phi (t_{0},t)^{T}dt} where ϕ {\displaystyle \phi } is the state-transition matrix, and W ( t 0 , t 1 ) {\displaystyle W(t_{0},t_{1})} is the Controllability...
23 KB (4,480 words) - 14:17, 25 March 2024
\Psi } is a non-singular matrix for all t {\displaystyle t} . The fundamental matrix is used to express the state-transition matrix, an essential component...
2 KB (252 words) - 18:14, 19 May 2024
Algebraic Riccati equation (redirect from Matrix Riccati equation)
n × n state transition matrix, B is the n × k matrix of control multipliers, Q (n × n) is a symmetric positive semi-definite state cost matrix, and R...
9 KB (1,582 words) - 12:24, 30 December 2023
logic, a state-transition table is a table showing what state (or states in the case of a nondeterministic finite automaton) a finite-state machine will...
9 KB (772 words) - 21:43, 23 July 2024
Observability (section Observability matrix)
(t,t_{0})\,dt} where φ {\displaystyle \varphi } is the state-transition matrix. It is possible to determine a unique x ( t 0 ) {\displaystyle...
13 KB (2,205 words) - 21:58, 19 May 2024
List of named matrices (redirect from List of matrix)
in a multiport system. State transition matrix — exponent of state matrix in control systems. Substitution matrix — a matrix from bioinformatics, which...
31 KB (1,336 words) - 00:12, 30 November 2023