AN ALGEBRAIC STATE ESTIMATION APPROACH FOR THE RECOVERY OF CHAOTICALLY ENCRYPTED MESSAGES

DOI10.1142/S0218127406014812zbMath1098.94005OpenAlexW1998916244WikidataQ120968086 ScholiaQ120968086MaRDI QIDQ5484859

Hebertt Sira-Ramírez, Michel Fliess

Publication date: 21 August 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127406014812

zbMATH Keywords

state estimationsynchronizationalgebraic methodsderivative calculationmessage encryption

Mathematics Subject Classification ID

Controllability (93B05) Cryptography (94A60) Observability (93B07) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Communication theory (94A05)

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Finite-time impulsive observers for nonlinear systems represented by Takagi-Sugeno models: application to a chaotic system ⋮ Survey on algebraic numerical differentiation: historical developments, parametrization, examples, and applications ⋮ SYNCHRONIZATION OF CHAOTIC OSCILLATORS BY MEANS OF GENERALIZED PROPORTIONAL INTEGRAL OBSERVERS ⋮ On the algebraic reconstruction of the Duffing's mechanical system ⋮ Differentiator application in altitude control for an indoor blimp robot

Cites Work

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• Reconstructeurs d'état. (State reconstructors).
• SYNCHRONIZATION OF CHAOTIC SYSTEMS: A GENERALIZED HAMILTONIAN SYSTEMS APPROACH
• A SIMPLE WAY TO SYNCHRONIZE CHAOTIC SYSTEMS WITH APPLICATIONS TO SECURE COMMUNICATION SYSTEMS
• An algebraic framework for linear identification
• Deterministic Nonperiodic Flow
• Robust residual generation for linear fault diagnosis: an algebraic setting with examples
• Passivity Based Design of Synchronizing Systems

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