On the Asymptotic Hyperstability of Linear Time-Invariant Continuous-Time Systems under a Class of Controllers Satisfying Discrete-Time Popov’s Inequality
Keyword(s):
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.
2006 ◽
Vol 53
(1)
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pp. 106-113
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2007 ◽
Vol 2007
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pp. 1-23
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1996 ◽
Vol 118
(2)
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pp. 350-353
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1969 ◽
Vol 2
(8)
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pp. T133-T136
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Keyword(s):
Keyword(s):
Analysis of Second-Order Modes of Linear Continuous-Time Systems under Positive-Real Transformations
2008 ◽
Vol E91-A
(2)
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pp. 575-583
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