Parameter and State Variable Reconstruction for a Class of Chaotic with Application to Information Codification and De-codification
Suárez Castañón, Miguel Santiago · Computación y Sistemas · 2005
IN THIS PAPER WE DESCRIBE HOW TO USE EXACT STATE AND PARAMETRIC INTEGRAL EQUATIONS RE-CONSTRUCTORS FOR THE IDENTIFICATION OF THE STATE VARIABLES OF DYNAMIC CHAOTIC DISCRETE AND CONTINUOUS NON-LINEAL SYSTEMS. IN BOTH CASES, WE AVOID THE USE OF ASYMPTOTIC OBSERVERS AND TAKENS THEOREM. IDENTIFICATION AND RECONSTRUCTION OF DISCRETE SYSTEMS IS ILLUSTRATED WITH LOZI'S SYSTEM. THE STATE RECONSTRUCTION SCHEMA FOR DISCRETE SYSTEMS WAS USED IN THE DESIGN OF AN INFORMATION CODIFICATION AND DE-CODIFICATION MECHANISM. THE RE-CONSTRUCTOR APPROACH IS EXTENDED FOR HYPER-CHAOTIC MAPS. THE CODIFICATION AND DE-CODIFICATION SCHEMA PRESENTS AN ENHANCEMENT THAT CONSISTS ON USING THE OBSERVABLE SIGNAL ALSO AS PORTER OF THE CODIFIED INFORMATION. THE DEVELOPED IDEAS F