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In this paper, fault tolerant synchronization of chaotic gyroscope systems versus external disturbances via Lyapunov rule-based fuzzy control is investigated. Taking the general nature of faults in the slave system into account, a new synchronization scheme, namely, fault tolerant synchronization, is proposed, by which the synchronization can be ...
Faezeh Farivar +1 more
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Design of stable model reference adaptive system via Lyapunov rule for control of a chemical reactor
2013 Australian Control Conference, 2013In this paper, two model reference adaptive control strategy including MIT rule and Lyapunov rule are used to design iterative learning controllers for a chemical-reactor system with uncertain parameters, initial output resetting error and input disturbance. The learning controller compensates for the unknown parameters, uncertainties, and nonlinearity
Hanif Tahersima +3 more
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On a Practicle Stopping Rule for the Numerical Computation of the Lyapunov Spectrum
1992 American Control Conference, 1992It is in general not possible to analytically compute the Lyapunov spectrum of a given dynamical system. This has been achieved for a few special cases only. Therefore, numerical algorithms have been devised for this task. One major drawback of these numerical algorithms is the lack of an adequate stopping rule.
Jelel Ezzine
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A generalized chain rule and a bound on the continuity of solutions and converse Lyapunov functions
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009This paper gives a bound on the continuity of solutions to nonlinear ordinary differential equations. Continuity is measured with respect to an arbitrary Sobolev norm. This result is used to give a bound on the continuity of a common converse Lyapunov function.
Matthew M Peet
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