A one dimensional deterministic free boundary problem.
Ferreyra, Guillermo, Pascal, Jesus A. (2002)
Divulgaciones Matemáticas
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Ferreyra, Guillermo, Pascal, Jesus A. (2002)
Divulgaciones Matemáticas
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Andrei Dmitruk (2009)
Control and Cybernetics
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Hai-Yan Li, Yun-An Hu, Rui-Qi Wang (2013)
Kybernetika
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This paper is concerned with the finite-time synchronization problem for a class of cross-strict feedback underactuated hyperchaotic systems. Using finite-time control and backstepping control approaches, a new robust adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. Appropriate adaptive laws are derived to deal with the unknown parameters of the systems. The proposed method can be applied...
Arturo Enrique Gil García, Vadim Azhmyakov, Michael V. Basin (2014)
Kybernetika
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This paper presents a theoretical approach to optimal control problems (OCPs) governed by a class of control systems with discontinuous right-hand sides. A possible application of the framework developed in this paper is constituted by the conventional sliding mode dynamic processes. The general theory of constrained OCPs is used as an analytic background for designing numerically tractable schemes and computational methods for their solutions. The proposed analytic method guarantees...
Rincon, A., Liu, I-Shih (2003)
Divulgaciones Matemáticas
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Popoviciu, Ioan (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Hassan Saberi Nik, Ping He, Sayyed Taha Talebian (2014)
Kybernetika
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In this paper, the problems on purposefully controlling chaos for a three-dimensional quadratic continuous autonomous chaotic system, namely the chaotic Pehlivan-Uyaroglu system are investigated. The chaotic system, has three equilibrium points and more interestingly the equilibrium points have golden proportion values, which can generate single folded attractor. We developed an optimal control design, in order to stabilize the unstable equilibrium points of this system. Furthermore,...