Displaying similar documents to “Growth conditions for the stability of a class of time-varying perturbed singular systems”

Stability modulo singular sets

J. Iglesias, A. Portela, A. Rovella (2009)

Fundamenta Mathematicae

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A new concept of stability, closely related to that of structural stability, is introduced and applied to the study of C¹ endomorphisms with singularities. A map that is stable in this sense is conjugate to each perturbation that is equivalent to it in a geometric sense. It is shown that this kind of stability implies Axiom A and Ω-stability, and that every critical point is wandering. A partial converse is also shown, providing new examples of C³ structurally stable maps.

Exponential stability of nonlinear non-autonomous multivariable systems

Michael I. Gil' (2015)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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We consider nonlinear non-autonomous multivariable systems governed by differential equations with differentiable linear parts. Explicit conditions for the exponential stability are established. These conditions are formulated in terms of the norms of the derivatives and eigenvalues of the variable matrices, and certain scalar functions characterizing the nonlinearity. Moreover, an estimate for the solutions is derived. It gives us a bound for the region of attraction of the steady...

Stability of retarded systems with slowly varying coefficient

Michael Iosif Gil (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.

Stability of retarded systems with slowly varying coefficient

Michael Iosif Gil (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.

New criterion for asymptotic stability of time-varying dynamical systems

Taoufik Ghrissi, Mohamed Ali Hammami, Mekki Hammi, Mohamed Mabrouk (2017)

Kybernetika

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In this paper, we establish some new sufficient conditions for uniform global asymptotic stability for certain classes of nonlinear systems. Lyapunov approach is applied to study exponential stability and stabilization of time-varying systems. Sufficient conditions are obtained based on new nonlinear differential inequalities. Moreover, some examples are treated and an application to control systems is given.

Exponential stability via aperiodically intermittent control of complex-variable time delayed chaotic systems

Song Zheng (2020)

Kybernetika

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This paper focuses on the problem of exponential stability analysis of uncertain complex-variable time delayed chaotic systems, where the parameters perturbation are bounded assumed. The aperiodically intermittent control strategy is proposed to stabilize the complex-variable delayed systems. By taking the advantage of Lyapunov method in complex field and utilizing inequality technology, some sufficient conditions are derived to ensure the stability of uncertain complex-variable delayed...