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Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems
2020 59th IEEE Conference on Decision and Control (CDC), 2020In this article, we study the problem of asymptotic stabilization for nonlinear affine discrete-time control systems with periodic coefficients via state feedback. It is supposed that the origin of the free dynamic system is (non-asymptotically) stable.
Adam Czornik +4 more
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Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
SIAM Journal on Mathematical Analysis, 1972This paper contains two major results. The first one is to obtain necessary and sufficient conditions for the uniform asymptotic stability of linear evolutionary processes which are defined in a general Banach space and whose norms can increase no faster than an exponential. This is the substance of Theorem 1 and its corollaries.
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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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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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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