Showing papers in "Nonlinear Analysis: Hybrid Systems in 2011"

TL;DR: In this paper, the stability and stabilization of a class of switched discrete-time delay systems is studied. But the system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-changing function and the lower bound is not restricted to zero.

TL;DR: It has been observed that by appropriately choosing the data assignment criterion, the proposed on-line method can be extended to deal also with the identification of piecewise affine models and is tested through some computer simulations and the modeling of an open channel system.

TL;DR: In this paper, the stability of stochastic jumping bidirectional associative memory (BAM) networks with time-varying and distributed delays was investigated and sufficient conditions were obtained to guarantee the stochastically exponential stability of the trivial solution or zero solution.

TL;DR: In this paper, a high-order sliding-mode observer for linear systems with unknown inputs is designed and the concepts of strong observability and strong detectability are studied and their relation with the relative degree of a plant is established.

TL;DR: In this paper, a special class of hybrid systems, called impulsive dynamical linear systems (IDLS), is considered and sufficient conditions for finite-time stabilization of IDLS are provided.

TL;DR: In this paper, a robust hybrid observer for switched linear systems with unknown inputs and modeling error is proposed, and a suitable trade-off between the robustness of the unknown input and the sensitivity to faults has been obtained thanks to a H ∞ performance index.

TL;DR: In this article, the authors analyzed the dynamical behavior of a bioeconomic model system using differential algebraic equations, which describes a prey-predator fishery with prey dispersal in a two-patch environment, one of which is a free fishing zone and other is a protected zone.

TL;DR: In this article, the authors investigated the issues of impulsive synchronization seeking in general complex delayed dynamical networks with nonsymmetrical coupling and derived sufficient conditions for global exponential synchronization of the impulsive controlled delayed dynamic networks.

TL;DR: In this paper, an analytical expression for the boundaries of continuous flows is derived using interval Taylor methods and techniques for controlling the wrapping effect, and the event detection and localization problems underlying flow/sets intersection are expressed as numerical constraint-satisfaction problems, which are solved using global search methods based on branch-and-prune algorithms, interval analysis and consistency techniques.

TL;DR: In this article, a high-order sliding-mode observer provides a finite-time converging estimate of the continuous system's state vector in spite of the presence of unknown inputs.

TL;DR: In this paper, a state feedback controller and an average dwell-time scheme are designed to guarantee that the corresponding closed-loop system is globally asymptotically stable and has a weighted L 2 -gain.

TL;DR: In this paper, the robust exponential stability problem for discrete-time switched Hopfield neural networks with time delay and uncertainty is considered, and a new Lyapunov-Krasovskii functional and delay-dependent criteria are developed.

TL;DR: In this paper, the switching signal (switching law) design for robust global exponential stability of switched nonlinear systems is investigated, and LMI-based delay-dependent criteria are proposed to design the switching signals and guarantee the global exponential Stability.

TL;DR: In this article, a method for the finite time estimation of the switching times in linear switched systems is proposed based on algebraic tools and distribution theory, which can be implemented in a straightforward manner using standard tools from computational mathematics.

TL;DR: In this paper, the robust stability analysis of Markovian jumping uncertain stochastic systems with interval time-varying delays is studied. But the authors assume that the parametric uncertainties which appear in all system matrices are norm bounded.

TL;DR: Takahashi et al. as discussed by the authors proved weak and strong convergence theorems for Ishikawa iteration of Suzuki-generalized nonexpansive mappings in uniformly convex Banach spaces.

TL;DR: In this article, a sufficient condition for the stabilization of a class of switched nonlinear systems with time-delay was proposed, which has been expressed in terms of linear matrix inequalities (LMIs).

TL;DR: In this article, a new pairwise commutation condition under which a switched linear descriptor system is stable was proposed. And when the proposed condition holds, there exists a common quadratic Lyapunov function (CQLF) for the subsystems.

TL;DR: In this paper, an approach to robust state reconstruction for a class of nonlinear switched systems affected by model uncertainties is presented based on concepts and methodologies derived from the sliding mode control theory.

TL;DR: A closed loop control strategy is developed that follows the trajectory computed by the open loop control by calculating a new state after each time step in order to handle potential perturbations.

TL;DR: In this article, the multistability theory for discontinuous dynamical systems having a set of multiple isolated equilibria and/or a continuum of equilibrium states has been studied, and the results are applied to excitatory and inhibitory biological neuronal networks to explain the underlying mechanism of action for anesthesia and consciousness from a multistable dynamical system perspective.

TL;DR: In this article, the authors considered the case that actuators suffer serious failure and derived sufficient conditions for reliable exponential stabilization of the switched systems with hybrid observer-based output feedback control.

TL;DR: In this article, sufficient conditions for the approximate controllability of impulsive neutral functional evolution integrodifferential systems in Hilbert spaces were established by using Schauder's fixed point theorem when the operator is compact and the Banach fixed-point theorem when operator is not compact.

TL;DR: A numerical method for solving optimal control problems by dynamic programming to a class of hybrid dynamic systems with autonomous as well as controlled switching with a full discretization of the state and input spaces is extended.

TL;DR: This paper provides a mechanized translation scheme to encode probabilistic bounded reachability problems of concurrent Probabilistic hybrid automata as linearly sized SSMT formulae, which can be solved by the SiSAT tool.

TL;DR: In this paper, the authors address two control problems of discrete-time switching systems subject to modal nonlinearities satisfying sector conditions, actuator saturations and additive L 2 -bounded disturbances.

TL;DR: In this article, a characterization for weak distinguishability of two linear controlled systems is derived, and necessary and sufficient conditions for observability are obtained for the observability of a special switched linear controlled system.

TL;DR: A complex metabolic network is established and the corresponding nonlinear hybrid dynamical system aiming to determine the most possible metabolic system is established to quantitatively describe biological robustness and present a system identification model on the basis of robustness performance.

TL;DR: In this paper, the effects of different releasing methods of natural enemies on dynamical behavior are investigated, and the results imply that under some conditions the pest may serve to extinction, and that varying dosages and frequencies of insecticide applications and the number of enemies released are crucial.

TL;DR: In this article, a frequency domain approach is given by using standard methods based on the describing function, and closed-form expressions have been obtained for describing function of arbitrary order full reset compensators with and without reset band.