The first order continuous-time Phase-Locked Loops

This article deals with the derivation of the exact discrete model that corresponds to a closed linear first-order continuous-time system with mixed stock and flow data. This exact discrete model is (under appropriate additional conditions) a stationary autoregressive moving average time series model and may allow one to obtain asymptotically efficient estimators of the parameters describing the continuous-time system.

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Moment method estimation of first-order continuous-time bilinear processes

Communications in Statistics - Simulation and Computation ◽

10.1080/03610918.2017.1406507 ◽

2018 ◽

Vol 48 (4) ◽

pp. 1070-1087 ◽

Cited By ~ 1

Author(s):

Abdelouahab Bibi ◽

Fateh Merahi

Keyword(s):

Continuous Time ◽

Moment Method ◽

First Order ◽

Order Continuous

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The second order continuous-time Phase-Locked Loops

World Scientific Series on Nonlinear Science Series A - Equations of Phase-Locked Loops ◽

10.1142/9789812770912_0003 ◽

2007 ◽

pp. 55-126

Keyword(s):

Continuous Time ◽

Second Order ◽

Phase Locked Loops ◽

Order Continuous

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Comparison of receiver equalization using first-order and second-order Continuous-Time Linear Equalizer in 45 nm process technology

2012 4th International Conference on Intelligent and Advanced Systems (ICIAS2012) ◽

10.1109/icias.2012.6306122 ◽

2012 ◽

Cited By ~ 8

Author(s):

C. H. Lee ◽

M. T. Mustaffa ◽

K. H. Chan

Keyword(s):

Continuous Time ◽

Second Order ◽

Process Technology ◽

First Order ◽

Linear Equalizer ◽

Time Linear ◽

Order Continuous

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Accelerated First-Order Continuous-Time Algorithm for Solving Convex-Concave Bilinear Saddle Point Problem

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.12.1257 ◽

2020 ◽

Vol 53 (2) ◽

pp. 7362-7367

Author(s):

Xianlin Zeng ◽

Lihua Dou ◽

Jie Chen

Keyword(s):

Saddle Point ◽

Continuous Time ◽

Time Algorithm ◽

Saddle Point Problem ◽

Point Problem ◽

First Order ◽

Order Continuous

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Adaptive Stabilization of Nonminimum Phase First Order Continuous-Time Systems

1992 American Control Conference ◽

10.23919/acc.1992.4792551 ◽

1992 ◽

Cited By ~ 2

Author(s):

Rogelio Lozano ◽

Antonio Osorio ◽

Jorge Torres

Keyword(s):

Continuous Time ◽

Adaptive Stabilization ◽

Nonminimum Phase ◽

First Order ◽

Continuous Time Systems ◽

Time Systems ◽

Order Continuous

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A robust adaptive algorithm for linear first‐order continuous‐time plants

Journal of the Chinese Institute of Engineers ◽

10.1080/02533839.1994.9677624 ◽

1994 ◽

Vol 17 (4) ◽

pp. 585-592

Author(s):

Hua‐Jye Peng ◽

Bor‐Sen Chen

Keyword(s):

Continuous Time ◽

Adaptive Algorithm ◽

First Order ◽

Robust Adaptive ◽

Order Continuous

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Adaptive stabilization of non-necessarily inversely stable first-order continuous-time systems without using a hysteresis switching function

Proceedings of the 36th IEEE Conference on Decision and Control ◽

10.1109/cdc.1997.649484 ◽

2002 ◽

Author(s):

M. De La Sen

Keyword(s):

Continuous Time ◽

Switching Function ◽

Adaptive Stabilization ◽

First Order ◽

Continuous Time Systems ◽

Time Systems ◽

Order Continuous

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Oscillations in First-Order, Continuous-Time Systems via Time-Delay Feedback

Complexity ◽

10.1155/2018/2178031 ◽

2018 ◽

Vol 2018 ◽

pp. 1-14

Author(s):

Abimael Salcedo ◽

Joaquin Alvarez

Keyword(s):

Continuous Time ◽

Closed Loop ◽

Equilibrium Points ◽

Nonlinear Function ◽

Loop System ◽

Closed Loop System ◽

First Order ◽

Continuous Time Systems ◽

Time Systems ◽

Order Continuous

A technique to generate (periodic or nonperiodic) oscillations systematically in first-order, continuous-time systems via a nonlinear function of the state, delayed by a certain time d, is proposed. This technique consists in choosing a nonlinear function of the delayed state with some passivity properties, tuning a gain to ensure that all the equilibrium points of the closed-loop system be unstable, and then imposing conditions on the closed-loop system to be semipassive. We include several typical examples to illustrate the effectiveness of the proposed technique, with which we can generate a great variety of chaotic attractors. We also include a physical example built with a simple electronic circuit that, after applying the proposed technique, displays a similar behavior to the logistic map.

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