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Asymptotic stabilization of uniform motion in Hamiltonian systems
Proceedings. 2005 International Conference Physics and Control, 2005., 2006In 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, 2007This 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, 1991Sufficient 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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Eventual Uniform Asymptotic Stability of Control Systems
Mathematische Nachrichten, 1971openaire +3 more sources
Uniform Global Asymptotic Stability for Time-Invariant Delay Systems
2022 IEEE 61st Conference on Decision and Control (CDC), 2022Karafyllis, Iasson +3 more
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Uniform asymptotic stability of impulsive discrete systems with time delay
Nonlinear Analysis: Theory, Methods & Applications, 2011Xinzhi Liu
exaly
Relaxed Persistent Flow/Jump Conditions for Uniform Global Asymptotic Stability
IEEE Transactions on Automatic Control, 2014Christophe Prieur +2 more
exaly
Total Stability and Uniform Asymptotic Stability for Linear Volterra Equations
Journal of the London Mathematical Society, 1991Yoshiyuki Hino, Satoru Murakami
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Uniform Asymptotic Stability of Discrete Large-Scale Systems
IEEE Transactions on Systems, Man, and Cybernetics, 1973openaire +1 more source

