• 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 (1,224 words) - 17:09, 1 November 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...
    418 bytes (99 words) - 17:40, 15 October 2024
  • It is also called a probability matrix, transition matrix, substitution matrix, or Markov matrix. The stochastic matrix was first developed by Andrey Markov...
    20 KB (2,959 words) - 14:55, 5 May 2025
  • In probability theory, a transition-rate matrix (also known as a Q-matrix, intensity matrix, or infinitesimal generator matrix) is an array of numbers...
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  • 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...
    26 KB (5,117 words) - 06:27, 24 June 2025
  • 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...
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  • t , τ ) {\displaystyle {\boldsymbol {\Phi }}(t,\tau )} is the state transition matrix of x ˙ = A ( t ) x {\displaystyle {\boldsymbol {\dot {x}}}={\boldsymbol...
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  • )+\mathbf {Ew} (\tau )]dt\end{aligned}}} where Φ(t) is the state transition matrix. The state-transition equation as derived above is useful only when the initial...
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  • Thumbnail for Phase transition
    related fields like biology, a phase transition (or phase change) is the physical process of transition between one state of a medium and another. Commonly...
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  • 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...
    10 KB (1,517 words) - 21:01, 14 April 2025
  • t , τ ) {\displaystyle {\boldsymbol {\Phi }}(t,\tau )} is the state transition matrix of x ˙ = A ( t ) x {\displaystyle {\boldsymbol {\dot {x}}}={\boldsymbol...
    11 KB (2,149 words) - 20:08, 2 December 2023
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    associated with various state changes are called transition probabilities. The process is characterized by a state space, a transition matrix describing the probabilities...
    96 KB (12,900 words) - 19:30, 30 June 2025
  • \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...
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  • Gronwall's lemma that gives upper and lower bounds to the norm of the state transition matrix. Halanay inequality. A similar inequality to Gronwall's lemma that...
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  • which serves the purpose of calculating transition probabilities between different quantum states. The matrix element considers the effect of the newly...
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  • (t,t_{0})\,dt} where φ {\displaystyle \varphi } is the state-transition matrix. It is possible to determine a unique x ( t 0 ) {\displaystyle...
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  • transition matrix (giving the effect of current values of the state variables on their own evolution) and/or the control response matrix of the state...
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  • Thumbnail for List of named matrices
    in a multiport system. State transition matrix — exponent of state matrix in control systems. Substitution matrix — a matrix from bioinformatics, which...
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  • The Matrix is a 1999 science fiction action film written and directed by the Wachowskis. It is the first installment in the Matrix film series, starring...
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    Schmidt–Kalman filter Separation principle Sliding mode control State-transition matrix Stochastic differential equations Switching Kalman filter Lacey...
    127 KB (20,447 words) - 05:33, 8 June 2025
  • The Matrix is an American cyberpunk media franchise consisting of four feature films, beginning with The Matrix (1999) and continuing with three sequels...
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  • following specializations and simplifications. The discrete state transition matrix A is a square matrix of dimension 2, with all main diagonal terms equal to...
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  • is a Markov chain, and an analysis of its state transition matrix (again with M=3) shows that the steady state probability of using coin 2 is 0.3836, and...
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  • consciousness is trapped in a subway station named Mobil Ave, a transition zone between the Matrix and the machine world. He meets a "family" of programs, including...
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  • absorbing Markov chain with transition matrix P have t transient states and r absorbing states. Unlike a typical transition matrix, the rows of P represent...
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  • commensurate order FDEs and a system of linear FDDEs are given by a state transition matrix. Doha, E.H.; Bhrawy, A.H.; Ezz-Eldien, S.S. (December 2011). "Efficient...
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  • )=C(t)\phi (t,\sigma )B(\sigma )} where ϕ {\displaystyle \phi } is the state-transition matrix associated with the realization. System identification techniques...
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  • {\text{Exp}}(18)} . When a transition is to be made, the process moves according to the jump chain, a discrete-time Markov chain with stochastic matrix: [ 0 1 2 1 2...
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  • Thumbnail for Glass transition
    brittle "glassy" state into a viscous or rubbery state as the temperature is increased. An amorphous solid that exhibits a glass transition is called a glass...
    73 KB (8,847 words) - 00:18, 24 June 2025
  • Thumbnail for The Wachowskis
    Sieczkowski, Cavan (July 30, 2012). "Larry Wachowski Transgender: 'Matrix' Director Reveals Transition To Lana Wachowski (VIDEO)". HuffPost. Archived from the original...
    159 KB (11,921 words) - 14:24, 2 July 2025