Analysis of a Chaotic System with Line Equilibrium and Its Application to Secure Communications Using a Descriptor Observer †

Lazaros Moysis, Christos Volos, Viet Thanh Pham, Sotirios Goudos, Ioannis Stouboulos, Mahendra Kumar Gupta, Vikas Kumar Mishra

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In this work a novel chaotic system with a line equilibrium is presented. First, a dynamical analysis on the system is performed, by computing its bifurcation diagram, continuation diagram, phase portraits and Lyapunov exponents. Then, the system is applied to the problem of secure communication. We assume that the transmitted signal is an additional state. For this reason, the nonlinear system is rewritten in a rectangular descriptor form and then an observer is constructed for achieving synchronization and input reconstruction. If we assume some rank conditions (on the nonlinearities and the solvability of a linear matrix inequality (LMI)) on the system matrices then the observer synchronization can be feasible. We evaluate and demonstrate our approach with specific numerical results.

Original languageEnglish
Article number76
JournalTechnologies
Volume7
Issue number4
DOIs
StatePublished - 1 Dec 2019
Externally publishedYes

Keywords

  • chaos
  • descriptor systems
  • hidden attractors
  • linear matrix inequality (LMI)
  • observer design
  • secure communication
  • synchronization

ASJC Scopus subject areas

  • Computer Science (miscellaneous)

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