Recurrence for Discrete Time Unitary Evolutions
نویسندگان
چکیده
منابع مشابه
A Universal Dilation of Discrete Markov Evolutions
Given a finite state space E, we build a universal dilation for all possible discrete time Markov chains on E, homogeneous or not: we introduce a second system (an “environment”) and a deterministic invertible time-homogeneous global evolution of the system E with this environment such that any Markov evolution of E can be realized by a proper choice of the initial (random) state of the environ...
متن کاملA Robust Control Design Technique for Discrete-Time Systems
A robust state feedback design subject to placement of the closed loop eigenvalues in a prescribed region of unit circle is presented. Quantitative measures of robustness and disturbance rejection are investigated. A stochastic optimization algorithm is used to effect trade-off between the free design parameters and to accomplish all the design criteria. A numerical example is given to illustra...
متن کاملAn Extension of the Class Of Unitary Time-Warping Projectors To Discrete-Time Sequences
This paper establishes a new coherent framework to extend the class of unitary warping operators [1] to the case of discrete–time sequences. Providing some a priori considerations on signals, we show that the class of discrete– time warping operators finds a natural description in linear shift–invariant spaces. On such spaces, any discrete–time warping operator can be seen as a non–uniform weig...
متن کاملClassical dilations à la Quantum Probability of Markov evolutions in discrete time
We study the Classical Probability analogue of the dilations of a quantum dynamical semigroup in Quantum Probability. Given a (not necessarily homogeneous) Markov chain in discrete time in a finite state space E, we introduce a second system, an environment, and a deterministic invertible time-homogeneous global evolution of the system E with this environment such that the original Markov evolu...
متن کاملOptimal Finite-time Control of Positive Linear Discrete-time Systems
This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2013
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-012-1645-2