Synthesis of Optimized Piecewise-Linear Systems Using Similarity Transformation, Part II: Second-Order Systems

Abstract

State models of dynamical systems can be used as prototypes in practical realization of electronic chaotic oscillators. Experimental verification shows that namely eigenvalue sensitivities of these prototypes are very important for such a purpose. In the paper the optimization design procedure for the second-order linear and piecewise-linear (PWL) autonomous dynamical systems is suggested. This gives the possibility to obtain minimum eigenvalue sensitivities with respect to the change of the individual state model parameters.