Details of electronic circuitry to define Poincaré planes in the phase space of nonlinear electronic systems are presented. It allows an experimental setup to capture data at every moment the system’s orbit crosses the Poincaré plane. We illustrate how the circuit is used in an experimental setup that allows us (i) to reconstruct bifurcation cascades and to disclose induced first return chaotic...

In this paper, we develop a thermodynamic framework for addressing consensus problems for nonlinear multiagent dynamical systems with fixed and switching topologies. Specifically, we present distributed nonlinear static and dynamic controller architectures for multiagent coordination. The proposed controller architectures are predicated on system thermodynamic notions resulting in controller ar...

Based on the algebraic transformation of a randomly switched linear measurement equation to a nonlinear, yet deterministic equation, an asymptotic observer is constructed for a class of systems encountered in manufacturing, telecommunications, and embedded control applications. The observer is shown to be locally exponentially stable for any arbitrary switching sequence, and combines the algebr...

This work focuses on tracking and system identification of systems with regime-switching parameters, which are modeled by a Markov process. It introduces a framework for persistent identification problems that encompass many typical system uncertainties, including parameter switching, stochastic observation disturbances, deterministic unmodeled dynamics, sensor observation bias, and nonlinear m...

Switching max-plus-linear (SMPL) systems are discrete-event systems that can switch between different modes of operation. In each mode the system is described by a max-plus-linear state equation and a max-plus-linear output equation, with different system matrices for each mode. The switching may depend on the inputs and the states, or it may be a stochastic process. In this paper two equivalen...

evolving models have found applications in many real world systems. in this paper, potentials of the evolving linear models (elms) in tracking control design for nonlinear variable structure systems are introduced. at first, an elm is introduced as a dynamic single input, single output (siso) linear model whose parameters as well as dynamic orders of input and output signals can change through ...

The purpose of this study is to investigate the impact of exchange rate misalignment on inflation persistence. For this purpose, Vector Auto Regression method and Markov Switching model is used for quarterly data during 1989:4 -2014:3. The results show that, the impact of liquidity growth and exchange rate misalignment on inflation persistence is positive. On the other hand, GDP growth has a ne...

We delineate critical issues for “controlling light with light” in photonic crystal PC waveguides coupled to Kerr-nonlinear microresonators. These arise from a fundamental trade-off between switching speed and switching intensity threshold inherent in high-quality Q-factor cavities and b the dynamical nonlinear oscillation of such cavities in response to incident light pulses. Using finite-diff...

In this paper, we investigate nonlinear reachability computation in presence of model uncertainty, via guaranteed set integration. We show how this can be done by using the classical Müller’s existence theorem. The core idea developed is to no longer deal with whole sets but to derive instead two nonlinear dynamical systems which involve no model uncertainty and which bracket in a guaranteed wa...