Optimal zero locations of continuous-time systems with distinct poles tracking first-order step responses

2002 ◽  
Vol 49 (5) ◽  
pp. 685-688 ◽  
Author(s):  
A.S. Hauksdottir
Keyword(s):  
Continuous Time ◽  
First Order ◽  
Continuous Time Systems ◽  
Time Systems ◽  
Step Responses

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

Complexity ◽  
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.

scholarly journals ON DISCRETE SAMPLING OF TIME-VARYING CONTINUOUS-TIME SYSTEMS

2009 ◽  
Vol 25 (4) ◽  
pp. 985-994 ◽  
Author(s):  
Peter M. Robinson
Keyword(s):  
Continuous Time ◽  
Time Varying ◽  
Order Model ◽  
First Order ◽  
Continuous Time Systems ◽  
Continuous Time Process ◽  
Time Systems ◽  
Over Time ◽  
Higher Order Models ◽  
Equal Spacing

We consider a multivariate continuous-time process, generated by a system of linear stochastic differential equations, driven by white noise, and involving coefficients that possibly vary over time. The process is observable only at discrete, but not necessarily equally-spaced, time points (though equal spacing significantly simplifies matters). Such settings represent partial extensions of ones studied extensively by A.R. Bergstrom. A model for the observed time series is deduced. Initially we focus on a first-order model, but higher-order models are discussed in the case of equally-spaced observations. Some discussion of issues of statistical inference is included.

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