scholarly journals Characterization of semiglobal stability properties for discrete-time models of non-uniformly sampled nonlinear systems

2018 ◽  
Vol 122 ◽  
pp. 60-66
Author(s):  
Alexis J. Vallarella ◽  
Hernan Haimovich
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Stability Properties ◽  
Discrete Time Models

Qualitative equivalences of ISS and lp-gain stability properties for discrete-time nonlinear systems

Automatica ◽  
2017 ◽  
Vol 77 ◽  
pp. 360-369 ◽  
Author(s):  
Duc N. Tran ◽  
Christopher M. Kellett ◽  
Peter M. Dower
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Stability Properties

Discretization of Nonautonomous Nonlinear Systems Based on Continualization of an Exact Discrete-Time Model

2013 ◽  
Vol 136 (2) ◽  
Author(s):  
Triet Nguyen-Van ◽  
Noriyuki Hori
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
Sufficient Conditions ◽  
Van Der Pol Oscillator ◽  
Discrete Time System ◽  
Time System ◽  
Time Model ◽  
Forward Difference ◽  
Discrete Time Models

An innovative approach is proposed for generating discrete-time models of a class of continuous-time, nonautonomous, and nonlinear systems. By continualizing a given discrete-time system, sufficient conditions are presented for it to be an exact model of a continuous-time system for any sampling periods. This condition can be solved exactly for linear and certain nonlinear systems, in which case exact discrete-time models can be found. A new model is proposed by approximately solving this condition, which can always be found as long as a Jacobian matrix of the nonlinear system exists. As an example of the proposed method, a van der Pol oscillator driven by a forcing sinusoidal function is discretized and simulated under various conditions, which show that the proposed model tends to retain such key features as limit cycles and space-filling oscillations even for large sampling periods, and out-performs the forward difference model, which is a well-known, widely-used, and on-line computable model.

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