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Generalized differential equations in the space of regulated functions (boundary value problems and controllability)

Milan Tvrdý (1991)

Mathematica Bohemica

Boundary value problems for generalized linear differential equations and the corresponding controllability problems are dealt with. The adjoint problems are introduced in such a way that the usual duality theorems are valid. As a special case the interface boundary value problems are included. In contrast to the earlier papers by the author the right-hand side of the generalized differential equations as well as the solutions of this equation can be in general regulated functions (not necessarily...

Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication

Hongtao Liang, Zhen Wang, Zongmin Yue, Ronghui Lu (2012)

Kybernetika

A fractional differential controller for incommensurate fractional unified chaotic system is described and proved by using the Gershgorin circle theorem in this paper. Also, based on the idea of a nonlinear observer, a new method for generalized synchronization (GS) of this system is proposed. Furthermore, the GS technique is applied in secure communication (SC), and a chaotic masking system is designed. Finally, the proposed fractional differential controller, GS and chaotic masking scheme are...

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