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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 $(*) \forall x \in R^{2}, f (x) = \frac{1}{4} \sum_{\binom{ϵ = \pm 1}{ϵ^{'} = \pm 1}} f (x + (ϵ, ϵ^{'})) = \frac{1}{4} \sum_{\binom{ϵ = \pm 1}{ϵ^{'} = \pm 1}} f (x + a (ϵ, ϵ^{'})) .$ Nous démontrons que les exponentielles polynômes solutions de $(*)$ sont denses dans l’espace des solutions $C^{\infty}$ 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...

Fonctions harmoniques positives sur certains groupes de Lie résolubles connexes

Albert Raugi (1996)

Bulletin de la Société Mathématique de France

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.

Forme normale d'Arnold et réduction formelle des systèmes d'équations linéaires aux différences.

Guoting Chen (1997)

Aequationes mathematicae

Formes quadratiques sur un semi-groupe involutif.

Henri Buchwalter (1985)

Mathematische Annalen

Four different unknown functions satisfying the triangle mean value property for harmonic polynomials, II

Shigeru Haruki (1984)

Annales Polonici Mathematici

Four different unknown functions satisfying the triangle mean value property for harmonic polynomials

Shigeru Haruki (1977)

Annales Polonici Mathematici

Four variations on a theme of S. B. Presic concerning semigroup functional equations.

Keckic, Jovan D. (1981)

Publications de l'Institut Mathématique. Nouvelle Série

Fractions rationnelles hyperboliques p-adiques

Jean-Paul Bézivin (2004)

Acta Arithmetica

Fréchet's equation and Hyers theorem on noncommutative semigroups

László Székelyhidi (1988)

Annales Polonici Mathematici

Fredholm determinants and the Evans function for difference equations

David Cramer, Yuri Latushkin (2007)

Banach Center Publications

We develop a difference equations analogue of recent results by F. Gesztesy, K. A. Makarov, and the second author relating the Evans function and Fredholm determinants of operators with semi-separable kernels.

Fredholm type integrodifferential equation on time scales.

Pachpatte, Deepak B. (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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.

Frequent oscillation of a class of partial difference equations.

Tian, C.J., Zhang, B.G. (1999)

Zeitschrift für Analysis und ihre Anwendungen

Function bounds for solutions of Volterra integro dynamic equations on time scales.

Adivar, Murat (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Functional equation associated with triangle geometry. (Summary).

Clark Kimberling (1993)

Aequationes mathematicae

Functional equation $f (x) = p f (x - 1) - q f (x - 2)$ and its Hyers-Ulam stability.

Jung, Soon-Mo (2009)

Journal of Inequalities and Applications [electronic only]

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.

Functional equations and information measures with preference

Nand Lal Aggarwal, Claude-François Picard (1978)

Kybernetika

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