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Exponential Stability of Non-uniform Guiding Center Plasma
Journal of Mathematical Physics, 1967Sufficient conditions are derived for the exponential stability of non-uniform collisionless guiding center plasma when the magnetic field in equilibrium is unidirectional. These conditions are local analogs of the criteria obtained for uniform plasma equilibria. Growth rates slower than exponential ones are considered.
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Uniform exponential stability of periodic discrete switched linear system
Journal of the Franklin Institute, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zada, Akbar +3 more
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Uniform Exponential Stability and Approximation in Control of a Thermoelastic System
SIAM Journal on Control and Optimization, 1994Summary: This paper has two objectives. First, necessary and sufficient conditions are given to characterize the uniform exponential stability of a sequence of \(c_ 0\)-semigroups \(T_ n (t)\) on Hilbert space \(H_ n\). Secondly, approximation in control of a one-dimensional thermoelastic system, subject to Dirichlet-Dirichlet as well as Dirichlet ...
Liu, Zhuangyi, Zheng, Songmu
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Uniform exponential stabilization of nonlinear systems in Banach spaces
Mathematical Methods in the Applied Sciences, 2020This paper presents necessary and sufficient conditions for uniform exponential stabilization of a class of nonlinear systems in Banach state spaces. The stabilization assumptions are formulated in terms of integral estimates involving the control operator and the state of the uncontrolled version of the system at hand.
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1996
In this chapter we shall study the uniform growth bound ω0(T) in more detail. Our main concern is finding necessary and sufficient conditions for uniform exponential stability.
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In this chapter we shall study the uniform growth bound ω0(T) in more detail. Our main concern is finding necessary and sufficient conditions for uniform exponential stability.
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Uniform exponential stability for families of linear time-varying systems
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002We present sufficient conditions for uniform exponential stability of families of linear time varying (LTV) systems. That is, LTV systems characterized by certain parameters. Our conditions are in the form of classical concepts in adaptive control, such as persistency of excitation. However, our proofs are based on modern tools which can be interpreted
E. Panteley, A. Loria
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On the uniform exponential stability of linear impulsive systems
2017 American Control Conference (ACC), 2017This paper further investigates a type of exponential stability for linear impulsive systems that is uniform with respect to the set of impulse times. The point of departure is a Lie-algebraic analysis previously developed for linear impulsive systems initially motivated by existing stability conditions for linear switched systems.
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Uniform Exponential Stability for a Schrödinger Equation and Its Semidiscrete Approximation
IEEE Transactions on Automatic ControlzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bao-Zhu Guo, Fu Zheng
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Uniform exponential stability of first-order dynamic equations with several delays
Applied Mathematics and Computation, 2012The authors study exponential stability of the delay dynamic equation \[ x^{\Delta}(t)+\sum_{i\in[1,n]_{\mathbb{N}}} A_i(t)x(\alpha_i(t))=0\quad \text{for } t\in[t_0,\infty)_{\mathbb T},\tag{1} \] where \(n\in\mathbb N\), \(\mathbb T\) is a time scale unbounded above, \(t_0\in\mathbb T\); also, for all \(i\in[1,n]_{\mathbb N}\), \(A_i\in C_{rd}([t_0 ...
KARPUZ, BAŞAK, Braverman, Elena
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Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems
Mathematical Methods in the Applied SciencesThe uniform exponential stabilities (UESs) of two hybrid control systems comprised of a wave equation and a second‐order ordinary differential equation are investigated in this study. Linear feedback law and local viscosity are considered, as are nonlinear feedback law and internal anti‐damping.
Fu Zheng +3 more
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