This paper is concerned with the convergence rate of the solutions of nonlinear switched systems. We first consider a switched system which is asymptotically stable for a class of inputs but not for all inputs. We show that solutions corresponding to that class of inputs converge arbitrarily slowly to the origin. Then we consider analytic switched systems for which a common weak quadratic Lyapu...

A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation M.A. Duarte-Mermoud a , R.H. Ordóñez-Hurtado a & P. Zagalak b a Department of Electrical Engineering and Advanced Mining Technology Center (AMTC), University of Chile, Avda. Tupper 2007, Casilla 412-3, Santiago, Chile b Institute of Information Theo...

In this paper we investigate the consensus problem under arbitrary switching for homogeneous multi-agent systems with switching communication topology, by assuming that each agent is described by a single-input stabilizable state-space model and that the communication graph is connected at every time instant. Under these assumptions, we construct a common quadratic positive definite Lyapunov fu...

The aim of this paper is to give sufficient conditions for a switched linear system defined by a pair of Hurwitz matrices that share a common but not strict quadratic Lyapunov function to be GUAS. We show that this property is equivalent to the uniform observability on [0,+∞) of a bilinear system defined on a subspace whose dimension is in most cases much smaller than the dimension of the switc...

40 Impact of Varying Environmental Conditions Simulate switched extremum seeking controller for 1000 W/m2 to 500 W/m2 step change in incident solar irradiation at 200 ms Lyapunov-Based Switching Scheme • Use stability proof by Krstic and Wang, Automatica, 2000. • Compute the average system: xa = 1/T ∫T x(τ)dτ • Linearize the averaged system about the extremum point: A = [dfa/dxa]eq • Show the J...

the modeling investigation in this paper discusses the system level effects of a toxicant on a three species food chain system. in the models, we have assumed that the presence of top predator reduces the predatory ability of the intermediate predator. the stability analysis of the models is carried out and the sufficient conditions for the existence and extinction of the populations under the ...

A general approach based on the introduction of a control function for constructing amplitudecontrollable chaotic systems with quadratic nonlinearities is discussed in this paper. We consider three control regimes where the control functions are applied to different coefficients of the quadratic terms in a dynamical system. The approach is illustrated using the Lorenz system as a typical exampl...

In this paper, the common centralized DEA models are extended to the bi-level centralized resource allocation (CRA) models based on revenue efficiency. Based on the Karush–Kuhn–Tucker (KKT) conditions, the bi-level CRA model is reduced to a one-level mathematical program subject to complementarity constraints (MPCC). A recurrent neural network is developed for solving this one-level mathematica...