Z-source inverter takes advantage of a distinctive impedance source network and modulation method of shootthrough vector, and achieves the function of buck/boost DC AC inverter in the single stage system at the same time, which is suitable for grid-connected PV systems with large input voltage variations. The purpose of this study is to draw a unified method of shoot-through vector and grid inv...

Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras. After that, various generalizations of these Lie algebras have been investigated by others. It is known that a locally extended affine Lie algebra can be recovered from its centerless core, i.e., the ideal generated by weight...

The paper addresses the stability analysis of linear continuous systems under interval uncertainties. A new implementation of the interval Frazer-Duncan criterion is suggested to estimate the stability of the system considered. It is based on obtaining the interval extensions of the coefficients 0 a and n a in the characteristic polynomial as well as the determinant 1 − ∆ n from the Hurwitz mat...

Dynamic Takagi-Sugeno fuzzy models are not always easy to interpret, in particular when they are identified from experimental data. Ideally, it is desirable that a dynamic Takagi-Sugeno fuzzy model should give accurate global nonlinear prediction and at the same time that its local models are close approximations to the local linearizations of the nonlinear dynamic system. The latter is importa...

Recently, locally semiconcave control Lyapunov functions (LS-CLFs) play important roles in nonlinear control theory. Many LS-CLF based stabilizing controllers are proposed. In this paper, we consider the locally asymptotic stabilization problem of the input affine nonlinear systems with convex input constraints. To design a stabilizing state feedback under the input constraints, we employ the L...

Necessary and sufficient conditions for a class of dissipative nonlinear multiinput multi-output discrete-time systems are given. The conditions existing in the literature, addressed as Kalman-Yakubovich-Popov conditions, for the dissipative, passive or lossless cases, are derived from the proposed dissipativity characterization. Feedback passivity is solved for a class of multi-input multi-out...

This paper describes an approach for augmenting a linear controller design with a neural-network-based adaptive element. The basic approach involves formulating an architecture for which the associated error equations have a form suitable for applying existing results for adaptive output feedback control of nonlinear systems. The approach is applicable to non-affine, nonlinear systems with both...

The paper investigates Hopf bifurcations in a class of simple nonlinear systems, i.e., third order affine control systems described in terms of “quadratic plus cubic” normal forms and subject to linear state feedback control laws. By employing Harmonic Balance (HB) tools, the set of system parameters corresponding to supercritical and subcritical bifurcations is analytically determined. Also, a...

We propose a framework for disturbance attenuation in case of nonlinear systems affine in a multivariable input. Roughly speaking, the underlying idea of our approach exploits the nature of nonlinear systems with a multivariable input. In particular, we extend the system under investigation by additional control possibilities, which were formed out by the socalled mixed Lie brackets. It is show...

We find and study four kinds of 6-parameter family of coupled Painlevé VI systems with affine Weyl group symmetry of types B (1) 6 , D (1) 6 and D (2) 7 . We also give an explicit description of a confluence to the Noumi-Yamada system of type A (1) 5 . 0. Introduction In 1912, considering the significant problem of searching for higher order analogues of the Painlevé equations, Garnier discover...