Displaying similar documents to “Dynamic stabilization of systems via decoupling techniques”

Absolute stability results for well-posed infinite-dimensional systems with applications to low-gain integral control

Hartmut Logemann, Ruth F. Curtain (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We derive absolute stability results for well-posed infinite-dimensional systems which, in a sense, extend the well-known circle criterion to the case that the underlying linear system is the series interconnection of an exponentially stable well-posed infinite-dimensional system and an integrator and the nonlinearity satisfies a sector condition of the form () ≤ 0 for some constant . These results are used to prove convergence and stability properties of low-gain integral feedback...

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...

Exponential stability of nonlinear systems with event-triggered schemes and its application

Zhang Li, Gang Yu, Yanjun Shen (2021)

Kybernetika

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In this paper, we discuss exponential stability for nonlinear systems with sampled-data-based event-triggered schemes. First, a framework is proposed to analyze exponential stability for nonlinear systems under some different triggering conditions. Based on these results, output feedback exponential stabilization is investigated for a class of inherently nonlinear systems under a kind of event-triggered strategies. Finally, the rationality of the theoretical work is verified by numerical...

Non-exponential and polynomial stability results of a Bresse system with one infinite memory in the vertical displacement

Aissa Guesmia (2017)

Nonautonomous Dynamical Systems

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The asymptotic stability of one-dimensional linear Bresse systems under infinite memories was obtained by Guesmia and Kafini [10] (three infinite memories), Guesmia and Kirane [11] (two infinite memories), Guesmia [9] (one infinite memory acting on the longitudinal displacement) and De Lima Santos et al. [6] (one infinite memory acting on the shear angle displacement). When the kernel functions have an exponential decay at infinity, the obtained stability estimates in these papers lead...

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...