Synthesis of Optimized Piecewise-Linear Systems Using Similarity Transformation. Part III: Higher-Order Systems

Abstract

State models of dynamical systems used as prototypes in theirpractical realization are optimized from the viewpoint of minimumeigenvalue sensitivities with respect to the change of the individualparameters. In the paper the previously published optimization designprocedure for the second-order linear and piecewise-linear (PWL)autonomous dynamical systems [2] is extended also for the higher-ordersystems. Results obtained give the possibility to realize thethird-order basic chaotic or the fourth-order hyper-chaoticoscillators.