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Uniform asymptotic stability and contractive semigroups of mappings in uniform spaces
Acta Mathematica Hungarica, 1992The paper deals with the relation between the uniform asymptotic stability and contractive semigroups of mappings in locally convex topological vector spaces. Necessary and sufficient conditions for a \([0,\infty)\)-semigroup on a uniform space \(X\) to be contractive are found. Two examples are given.
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Uniform Asymptotic Stability by Indefinite Lyapunov Functions
2022 13th Asian Control Conference (ASCC), 2022Gökhan Sahan, Derya Özdemir
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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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On uniform asymptotic stability of nonlinear Volterra integro-differential equations
International Journal of Control, 2022Pham Huu Anh Ngoc, Le Trung Hieu
exaly
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
Uniform Asymptotic Stability of Nonlinear Switched Systems With an Application to Mobile Robots
IEEE Transactions on Automatic Control, 2008Zhong-Ping Jiang
exaly

