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Noise-induced global asymptotic stability
Journal of Statistical Physics, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mackey, Michael C. +2 more
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Uniform Global Asymptotic Stability of Differential Inclusions
Journal of Dynamical and Control Systems, 2004The authors consider the stability of differential inclusions of the type \[ x'(t)\in F(x(t)), \tag{1} \] where the state \(x(\cdot)\) evolves in \(\mathbb{R}^n\), and the set-valued function \(F\) is locally Lipschitz and takes values which are nonempty compact subsets of \(\mathbb{R}^n\).
ANGELI, DAVID +3 more
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Almost everywhere global asymptotic stability†
International Journal of Control, 1970A new type of global stability property, called ‘almost everywhere global asymptotic (a.e.g.a.) stability) is introduced Roughly speaking, a dynamical system is said to be a.e.g.a. stable if only a finite number of its trajectories do not tend to the origin of the state space as time tends to infinity.
R. J. P. DE FIGUEIREDO, J. A. DUTERTBE
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Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), 2002
We prove a generalized Liapunov theorem which guarantees practical asymptotic stability. Based on this theorem, we show that if the averaged system x/spl dot/=f/sub av/(x) corresponding to x/spl dot/=f(x,t) is globally asymptotically stable then, starting from an arbitrarily large set of initial conditions, the trajectories of x/spl dot/=f(x, t//spl ...
A.R. Teel, J. Peuteman, D. Aeyels
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We prove a generalized Liapunov theorem which guarantees practical asymptotic stability. Based on this theorem, we show that if the averaged system x/spl dot/=f/sub av/(x) corresponding to x/spl dot/=f(x,t) is globally asymptotically stable then, starting from an arbitrarily large set of initial conditions, the trajectories of x/spl dot/=f(x, t//spl ...
A.R. Teel, J. Peuteman, D. Aeyels
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Global asymptotic stability on Euclidean spaces
Nonlinear Analysis: Theory, Methods & Applications, 2002Here, the authors consider the autonomous system \[ \dot u(t)=X \bigl(u(t)\bigr), \tag{AS} \] where \(X:\mathbb{R}^m \to\mathbb{R}^m\) is a vector field of class \(C^1\) satisfying \(X(0)=0\), and the origin is an asymptotic attractor for system (AS).
Silva, Elves A. B., Teixeira, Marco A.
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Intrinsic robustness of global asymptotic stability
Systems & Control Letters, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global Asymptotic Stability of Generalized Homogeneous Dynamical Systems
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2023The goal of the paper is to study the relationship between asymptotic stability and exponential stability of the solutions of generalized homogeneous nonautonomous dynamical systems. This problem is studied and solved within the framework of general non-autonomous (cocycle) dynamical system.
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Global asymptotic output feedback stabilization of feedforward systems
2001 European Control Conference (ECC), 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mazenc, F., Vivalda, J. C.
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