[PDF] Top 20 Robust computations with dynamical systems

... of dynamical systems: Turing machines, piecewise affine maps, linear hybrid automata, and piecewise constant derivative ...perturbed systems is ...model, with reachability relation R, the idea ... See full document

... concerned with attractors in stable ...is robust and nearby trajectories converge to it; (ii) this is not a “simple” attractor ...very robust to changes in the parameters, is not structurally ... See full document

... nonlinear systems described by vector fields with uncertain parameters is presented in Section ...of systems relies on the nominal system model and this leads to another nonlinear, instead of linear, ... See full document

... region with a grid of points (more precisely, small squares) and follow the individual evolution of each point to get an estimate of the domain of ...domain, with the error converging to 0 with ... See full document

... for robust GP learning, which will be described shortly. Outlier-robust GP models for regression have been well covered in the literature by works that apply Student-t likelihood (NEAL, 1997; JYL ¨ ANKI et ... See full document

... some computations for convergence of the damped Newton-Raphson-Mees method with the same initial guess at different values of ...UPO with period T tends to increase as T ...consistent with the ... See full document

... [21]) systems. This class of systems is very broad including any C k -system for k  1 ...for robust systems considered in classical mathematics and computer ...derivative systems as in ... See full document

... derive robust conditions in terms of LMIs for analyzing the stability of (open-loop unstable) nonlinear systems with time-invariant uncertainties and subject to input saturation based on the work of ... See full document

... begin with a common gene regulation circuit [19] that can show FCD, the incoherent type 1 feed-forward loop (I1-FFL) ...I1-FFL with AND logic (that is, where X and Y act multiplicatively to regulate Z), ... See full document

... nonsmooth dynamical systems theory around typical ...nonsmooth systems and geometric singular perturbation theory. Such systems are represented by discontinuous vector fields on R ℓ , ℓ ≥ 2, ... See full document

... of systems in the long run and on aspects related to learning and development, we are witnessing an expansion of the range of economic applications of evolutionary game which include: models of cooperative and ... See full document

... In the numerical solution of differential equations, polynomial or piecewise polynomial functions are often used to represent the approximate solution [1]. Legendre and Chebyshev polynomials are used for solving optimal ... See full document

... associated with the introduction of the notion of the derivative in the skew- ...periodic systems of the main stability results of autonomous systems is ...maps with one variable and p ... See full document

... stochastic systems has been an attractive topic for many scholars, and a large amount of results have been reported ...interval systems, and several sufficient conditions have been ... See full document

... Abstract —This paper deals with the asymptotic stability of neutral systems with mixed time-varying delays and nonlinear perturbations. Based on the Lyapunov –Krasovskii functional including the ... See full document

... [5] I. D. Chueshov, Introduction of the Theory of Infinite-Dimensional Dissipative Systems, ACTA, Ukraine, (2002). [6] La´ecio C. de Barros, Rodney C. Bassanezi, Pedro A. Tonelli, On the Continuity of The Zadeh’s ... See full document

... Dynamical systems of a billiard type are a fundamental notion relevant for the understanding of numerous phenomena observed in statistical mechanics, Hamiltonian dynamics, nonlinear physics, and ... See full document

... DeGuzman and Ding (1993) demonstrated that, when motion is restricted to the horizontal plane, only the symmetric and antisymmetric modes of coordination are stable over a range of frequencies. For frequencies above this ... See full document

... infection with blood parasites have been observed in female birds ...correlated with higher male mortality; a comparative study identified positive correlations between male- biased parasitism and the ... See full document

... deals with the class of high order local linearization integrators called Local Linearization— Runge–Kutta (LLRK) methods, which was recently introduced in [36] as a flexible approach for increasing the order of ... See full document