This paper considers discrete-time switched systems under dwell-time switching and in the presence of saturation nonlinearity. Based on Multiple Lyapunov Functions and using polytopic representation of nested saturation functions, a sufficient condition for asymptotic stability of such systems is derived. It is shown that this condition is equivalent to linear matrix inequalities (LMIs) and as ...

Let the martingale Wn = Zn mn , where Zn is a weighted branching process and m = E ∑ i Ti is the expected sum of the = factors Ti, converge to some limiting random variable W . We give conditions in terms of the factors such that W belongs to the domain of attraction or to the domain of normal attraction of an = α–stable distribution with 1 < α ≤ 2. Further the rate of convergence of Wn to W is...

This paper addresses the design of a dynamic, nonlinear, time-invariant, state feedback controller that guarantees constraint satisfaction and offset-free control in the presence of unmeasured, persistent, non-stationary, additive disturbances. First, this objective is obtained by designing a dynamic, linear, time-invariant, offset-free controller, and an appropriate domain of attraction for th...

A learning method using domains of attraction in three-layered neural networks is proposed. The method is a combination of output error minimization learning with maximization learning of domains of attraction in one-layered perceptrons. To simplify the structure of the network, a successive learning technique is employed for hidden units. Domains of attraction in the network is derived by rest...

Transfer operator-based approach for domain of attraction computation and experimental data analysis" (2010). Graduate Theses and Dissertations. Paper 11762.

Article history: Initial receipt 24 August 2016 Final revision received 13 April 2017 We tested the ability of a Euclidean algorithm to predict attraction to potential mates—a relatively upstream domain in the temporal sequence of the mating process. Participants in two studies reported their ideal mate preferences using a 23-item preference instrument. Separately, they rated their attraction t...

In this paper, we consider the problem of computing estimates of the domain-ofattraction for non-polynomial systems. A polynomial approximation technique, based on multivariate polynomial interpolation and error analysis for remaining functions, is applied to compute an uncertain polynomial system, whose set of trajectories contains that of the original non-polynomial system. Experiments on the...

In a seminal work V.I. Zubov has described a constructive method to obtain Lyapunov functions. This method is the first to allow numerical construction of domains of attraction for general nonlinear systems. In this paper we describe recent generalizations of this method that is applicable for systems subject to perturbations or control inputs.

An H2 control performance criterion dependent on a controller parameter vector is analyzed from the point of view of evaluating the domain of attraction of its global minimum when a gradient-based algorithm is used in tuning the parameters. The objective of this analysis is twofold: (i) examine how some design parameters of the criterion can be used to enlarge the domain of attraction; (ii) exa...