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The dynamics of a linear system can result in unbounded trajectories depending on the stability of its equilibrium point. However, to restrain the resulting trajectories of the system and in order to generate self-sustained oscillations, unstable dissipative systems can be designed along with the location of two or more new piecewise linear subsystems to trap the trajectories. To do so one must consider the intrinsic dynamic which is determined by the stability of each equilibrium point added to the overall system. A mechanism to generate bounded trajectories of unstable linear systems is based on a switching control law changing the equilibrium point of an unstable dissipative system. The dynamical systems resulting from thismethod can be implemented electronically and have applications in areas such as communications and encryption, due to phenomena involving their dynamics, like multi-stability and multi-scrolls attractors. © 2015 by Nova Science Publishers, Inc. All rights reserved.
Bounded trajectories of unstable piecewise linear systems and its applications
Chaos theory; Multi-scroll attractors; Switched systems; Unstable dissipative systems Chaos theory; Cryptography; Dynamical systems; Energy dissipation; Linear systems; Piecewise linear techniques; Trajectories; Bounded trajectories; Dissipative systems; Multi-scroll attractors; Piece-wise linear systems; Self-sustained oscillations; Switched system; Switching Control; Unstable linear systems; System stability
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Generically Dependent Continuant
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RDF description of Bounded trajectories of unstable piecewise linear systems and its applications - http://orbis.uaslp.mx/vivo/individual/scopus7283
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