Results 1 to 10 of about 403 (50)
Open Mathematics, 2021 This article concerns linear one-dimensional thermoelastic Timoshenko system with memory and distributed delay terms where the Cattaneo law governs the heat flux q(x,t)q\left(x,t).
Moumen Abdelkader +4 more
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Some fixed point theorems of rational type contraction in b-metric spaces
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U.
Seddik Merdaci, Taieb Hamaizia
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Polynomial stability of the wave equation with distributed delay term on the dynamical control
Nonautonomous Dynamical Systems, 2021 Using the frequency domain approach, we prove the rational stability for a wave equation with distributed delay on the dynamical control, after establishing the strong stability and the lack of uniform stability.
Silga Roland, Bayili Gilbert
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On the stability of a strongly stabilizing control for degenerate systems in Hilbert spaces
Demonstratio Mathematica, 2023 In this article, we explain how a recent Lyapunov theorem on stability plays a role in the study of the strong stabilizability problem in Hilbert spaces.
Hariri Mohamed +3 more
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Advances in Nonlinear Analysis, 2023 We are concerned with the stabilization of the wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic and frictional effects.
Jin Kun-Peng, Wang Li
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Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls
Abstract and Applied Analysis, Volume 2004, Issue 6, Page 487-499, 2004., 2004 We suggest some criteria for the stabilization of planar linear systems via linear hybrid feedback controls. The results are formulated in terms of the input matrices. For instance, this enables us to work out an algorithm which is directly suitable for a computer realization. At the same time, this algorithm helps to check easily if a given linear 2 ×
Elena Litsyn +3 more
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Dynamic boundary controls of a rotating body‐beam system with time‐varying angular velocity
Journal of Applied Mathematics, Volume 2004, Issue 2, Page 107-126, 2004., 2004 This paper deals with feedback stabilization of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the rigid body rotates with a nonconstant angular velocity. To stabilize this system, we propose a feedback law which consists of a control torque applied on the rigid body and either a dynamic ...
Boumediène Chentouf
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Mathematical Problems in Engineering, Volume 2003, Issue 1, Page 25-45, 2003., 2003 We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the concept of exponential dissipativity.
VijaySekhar Chellaboina +1 more
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Nonsmooth optimal regulation and discontinuous stabilization
Abstract and Applied Analysis, Volume 2003, Issue 20, Page 1159-1195, 2003., 2003 For affine control systems, we study the relationship between an optimal regulation problem on the infinite horizon and stabilizability. We are interested in the case the value function of the optimal regulation problem is not smooth and feedback laws involved in stabilizability may be discontinuous.
A. Bacciotti, F. Ceragioli
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Coexistence for a kind of stochastic three-species competitive models
Open Mathematics, 2019 The coexistence of species sustains the ecological balance in nature. This paper focuses on sufficient conditions for the coexistence of a three-species stochastic competitive model, where the model has non-linear diffusion parts.
Huang Nantian +3 more
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