Results 231 to 240 of about 5,715 (263)

Uniform Global Asymptotic Stability of Differential Inclusions

Journal of Dynamical and Control Systems, 2004
The 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, Y. WANG, E. SONTAG, B. INGALLS   +3 more
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On the Asymptotic Stability, Uniform Stability, and Boundedness of Solutions to Nonlinear Volterra Integrodifferential Equations

Ukrainian Mathematical Journal, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed, S. A., Tunc, C.
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Conditions for the Uniform Asymptotic Stability of Delay Differential Equations

Differential Equations, 2001
The following system of functional-differential equations with delay \[ \frac{dx(t)}{dt}=f(t,x_t),\quad f(t,0)\equiv 0, \tag{1} \] is considered, and the asymptotic stability of its solution \[ x(t)\equiv 0\tag{2} \] is studied. Let \(a, b\), and \(\omega\) be functions of Hahn's class, and let \(p: \mathbb{R}_+\to \mathbb{R}_+\) be a function ...
Knyazhishche, L. B., Shcheglov, V. A.
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On the Global Uniform Asymptotic Stability of Time-Varying Systems

Differential Equations and Dynamical Systems, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Damak, H., Hammami, M. A., Kalitine, B.
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Uniform Asymptotic Stability and Slow Convergence in Adaptive Systems

IFAC Proceedings Volumes, 2013
Abstract We examine convergence properties of errors in a class of adaptive systems that arises for scalar plants. We show that these adaptive systems are at best uniformly asymptotically stable in the large, and possess an infinite region where the trajectories move arbitrarily slowly, i.e. stick.
Benjamin Jenkins, Travis E. Gibson, Anuradha Annaswamy, Eugene Lavretsky   +3 more
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Uniform asymptotic stability, an initial treatment

2012
This chapter focuses on the uniform asymptotic stability of a closed set. Asymptotic stability is a fundamental property of dynamical systems—one that is usually desired in natural and engineered systems. It provides qualitative information about solutions, especially a characterization of the solutions' long-term trends.
Rafal Goebel, Ricardo G. Sanfelice, Andrew R. Teel   +2 more
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Global uniform asymptotic stabilization of an underactuated surface vessel

IEEE Transactions on Automatic Control, 2002
Explicit formulas of smooth time-varying state feedbacks which make the origin of an underactuated surface vessel globally uniformly asymptotically stable are proposed. The construction of the feedback extensively relies on the backstepping approach. The feedbacks constructed are time periodic functions.
Frédéric Mazenc, Kristin Ytterstad Pettersen, Henk Nijmeijer   +2 more
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On uniform asymptotic stability of nonlinear Volterra integro-differential equations

International Journal of Control, 2020
Using a novel approach, we present some new scalar criteria for the uniform asymptotic stability of general nonlinear Volterra integro-differential equations.
Pham Huu Anh Ngoc, Le Trung Hieu
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Uniform Asymptotic Stabilization of Affine Periodic Discrete-Time Systems

2020 59th IEEE Conference on Decision and Control (CDC), 2020
In 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, Evgenii K. Makarov, Michal Niezabitowski, Svetlana Popova, Vasili A. Zaitsev   +4 more
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Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space

SIAM Journal on Mathematical Analysis, 1972
This 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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