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Asymptotic stabilization of uniform motion in Hamiltonian systems

Proceedings. 2005 International Conference Physics and Control, 2005., 2006
In some cases a desired motion can be described by two first integrals of the system with zero control input. These two integrals are used to construct Lyapunov function. The control is designed from the condition of decreasing Lyapunov function on the trajectories of the closed loop system. This control may be a priori bounded.
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On Uniform Asymptotic Stability of Switched Nonlinear Time-Varying Systems

2007 American Control Conference, 2007
This paper is concerned with the study of, both local and global, uniform asymptotic stability for general nonlinear and time-varying switched systems. Two concepts of Lyapunov functions are introduced and used to establish uniform Lyapunov stability and uniform global stability.
Ti-Chung Lee, Zhong-Ping Jiang
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Uniform asymptotic stability for \(n\)-dimensional delay-differential equations

Funkcialaj Ekvacioj, 1991
Sufficient conditions for the uniform asymptotic stability of the delay- differential equation (1) \(x'(t)=A(t)x(t-r(t,x_ t))\) are given. Here \(A(t)\) is a continuous \(n\times n\) matrix defined on \([0,\infty)\), \(r:[0,\infty)\times C^ q_ n\to[0,q]\) is a continuous functional for \(q\geq 0\), \(C^ q_ n\) is the set of the continuous functions ...
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Uniform Global Asymptotic Stability for Time-Invariant Delay Systems

2022 IEEE 61st Conference on Decision and Control (CDC), 2022
Karafyllis, Iasson   +3 more
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Uniform asymptotic stability of impulsive discrete systems with time delay

Nonlinear Analysis: Theory, Methods & Applications, 2011
Xinzhi Liu
exaly  

Relaxed Persistent Flow/Jump Conditions for Uniform Global Asymptotic Stability

IEEE Transactions on Automatic Control, 2014
Christophe Prieur   +2 more
exaly  

Total Stability and Uniform Asymptotic Stability for Linear Volterra Equations

Journal of the London Mathematical Society, 1991
Yoshiyuki Hino, Satoru Murakami
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Uniform Asymptotic Stability of Discrete Large-Scale Systems

IEEE Transactions on Systems, Man, and Cybernetics, 1973
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