Modeling and Simulation of Continuous Time-Invariant Systems in Simulation Based Learning Environments

2008 ◽  
pp. 371-379
Author(s):  
Gang Chen ◽  
Yi Li ◽  
Jinyang Shi
Keyword(s):  
Modeling And Simulation ◽  
Learning Environments ◽  
Continuous Time ◽  
Simulation Based ◽  
Time Invariant

scholarly journals On the Asymptotic Hyperstability of Linear Time-Invariant Continuous-Time Systems under a Class of Controllers Satisfying Discrete-Time Popov’s Inequality

2018 ◽  
Vol 2018 ◽  
pp. 1-17
Author(s):  
M. De la Sen
Keyword(s):  
Continuous Time ◽  
Linear Time ◽  
Positive Real ◽  
Feedback Controllers ◽  
Linear Time Invariant ◽  
Continuous Time Systems ◽  
Strictly Positive Real ◽  
Forward Transfer ◽  
Time Invariant ◽  
Time Systems

This paper is concerned with the property of asymptotic hyperstability of a continuous-time linear system under a class of continuous-time nonlinear and perhaps time-varying feedback controllers belonging to a certain class with two main characteristics; namely, (a) it satisfies discrete-type Popov’s inequality at sampling instants and (b) the control law within the intersample period is generated based on its value at sampling instants being modulated by two design weighting auxiliary functions. The closed-loop continuous-time system is proved to be asymptotically hyperstable, under some explicit conditions on such weighting functions, provided that the discrete feed-forward transfer function is strictly positive real.

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