An Invariance Principle for Discontinuous Dynamic Systems With Application to a Coulomb Friction Oscillator
2000 ◽
Vol 122
(4)
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pp. 687-690
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Keyword(s):
An invariance principle for a class of ordinary differential equations with discontinuous right-hand side is developed. Based on this principle, asymptotic stability of one-degree-of-freedom mechanical oscillators with Coulomb friction is studied. The system is shown to be asymptotically stabilizable via a static feedback of the position, unlike those systems with no friction, whose stabilization requires a dynamic feedback when the position is the only available measurement. Along with this development, a velocity observer is proposed. Theoretical results of the paper are supported by some numerical simulations which, in addition, carry out a finite-time convergence of the controller and the observer proposed. [S0022-0434(00)00804-2]
Conditions for the local and global asymptotic stability of the time–fractional Degn–Harrison system
2020 ◽
Vol 21
(7-8)
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pp. 749-759
2000 ◽
Vol 229
(5)
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pp. 1171-1192
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2013 ◽
Vol 135
(5)
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2019 ◽
Vol 38
(6)
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pp. 159-171
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1992 ◽
Vol 59
(1-3)
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pp. 25-38
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