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Exponential stabilization of the rolling sphere
Automatica, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tuhin Das, Ranjan Mukherjee
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Exponential stabilization of the rolling sphere: stability analysis
42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004In an earlier paper, we addressed the problem of stabilization of the rolling sphere about any desired configuration. For the controller proposed, we establish in this paper global stability of the desired configuration and exponential convergence of trajectories to this configuration from a large and well defined set in the configuration space.
Tuhin Das, Ranjan Mukherjee
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Exponential Stability by the Linear Approximation
Differential Equations, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY
Mathematical Models and Methods in Applied Sciences, 2006This paper establishes results concerning the exponential decay of strong solutions of a linear hyperbolic integrodifferential equation in Hilbert space. Rather than the more commonly used assumptions that the relaxation function is non-negative, decreasing and convex, dissipation is modelled by requiring that the dynamic viscosity be a positive ...
J. Appleby +3 more
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On the exponential stability of discrete volterra systems
Journal of Difference Equations and Applications, 2000In this paper necessary and sufficient conditions for the exponential stability of discrete linear Volterra systems are proved.
CRISCI M. R. +3 more
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Exponential Stability of a Network of Beams
Journal of Dynamical and Control Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On exponential absolute stability†
International Journal of Control, 1972Abstract A new sufficient condition is formulated for the Lur'e type non-linear continuous system to bo exponentially absolutely stable. The condition relaxes the assumptions on the non-linear characteristic by modifying the requirements on the linear part of the syatem.
D. D. SILJAK, C. K. SUN
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Equivalence of input-output stability and exponential stability
Systems & Control Letters, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exponential stability and global stability of cellular neural networks
Applied Mathematics and Computation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xuemei Li, Lihong Huang
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Exponential stabilization of nonholonomic chained systems
IEEE Transactions on Automatic Control, 1995The paper presents a continuous time-varying feedback control law for the stabilization of a class of driftless nonholonomic systems to a given configuration. Two-input systems that can be converted in chained form include wheeled mobile robots (e.g., the \(N\)-trailer system driven by a car) as well as other kinematic systems with Pfaffian ...
Ole Jakob Sørdalen, Olav Egeland
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