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Fixed-time adaptive command-filter-based event-triggered control of constrained switched nonlinear systems with unmodeled dynamics

Zhibao Song, Ping Li (2025)

Kybernetika

In this paper, we investigate the problem of global output-feedback regulation for a class of switched nonlinear systems with unknown linear growth condition and uncertain output function. Based on the backstepping method, an adaptive output-feedback controller is designed to guarantee that the state of the switched nonlinear system can be globally regulated to the origin while maintaining global boundedness of the resulting closed-loop switched system under arbitrary switchings. A numerical example...

Fonctions définies dans le plan et vérifiant certaines propriétés de moyenne

Alain Yger (1981)

Annales de l'institut Fourier

Soit a un réel de ] 0 , 1 [ . Nous étudions le système d’équations de convolution suivant ( * ) ∀ x ∈ R 2 , f ( x ) = 1 4 ∑ ϵ = ± 1 ϵ ' = ± 1 f ( x + ( ϵ , ϵ ' ) ) = 1 4 ∑ ϵ = ± 1 ϵ ' = ± 1 f ( x + a ( ϵ , ϵ ' ) ) . Nous démontrons que les exponentielles polynômes solutions de ( * ) sont denses dans l’espace des solutions C ∞ du système d’équations; l’idéal de ℰ ' ( R 2 ) engendré par les transformées de Fourier des deux mesures intervenant ici est “slowly decreasing” au sens de Berenstein-Taylor. Lorsque a n’est pas un nombre de Liouville, nous montrons qu’il existe un ouvert relativement compact telle que toute solution distribution de ( * ) régulière...

Forced oscillation of third order nonlinear dynamic equations on time scales

Baoguo Jia (2010)

Annales Polonici Mathematici

Consider the third order nonlinear dynamic equation x Δ Δ Δ ( t ) + p ( t ) f ( x ) = g ( t ) , (*) on a time scale which is unbounded above. The function f ∈ C(,) is assumed to satisfy xf(x) > 0 for x ≠ 0 and be nondecreasing. We study the oscillatory behaviour of solutions of (*). As an application, we find that the nonlinear difference equation Δ ³ x ( n ) + n α | x | γ s g n ( n ) = ( - 1 ) ⁿ n c , where α ≥ -1, γ > 0, c > 3, is oscillatory.

Frequent oscillation in a nonlinear partial difference equation

Jun Yang, Yu Zhang, Sui Cheng (2007)

Open Mathematics

This paper is concerned with a class of nonlinear delay partial difference equations with variable coefficients, which may change sign. By making use of frequency measures, some new oscillatory criteria are established. This is the first time oscillation of these partial difference equations is discussed by employing frequency measures.

Functional equations and a theoretical model of DLTS

Václav Tryhuk (1995)

Applications of Mathematics

The paper deals with a theoretical model of the Crowel-Alipanahi correlator. The model describes a new possible effect of the DLTS spectra-exponential and nonexponential transient capacitance, normal or anomalous spectra.

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