Results 251 to 260 of about 132,438 (286)

Uniform asymptotic stability for damped linear oscillators with variable parameters

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Masakazu Onitsuka
exaly   +2 more sources

Uniform asymptotic and input to state stability by indefinite Lyapunov functions

European Journal of Control
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gokhan Sahan
exaly   +2 more sources

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
openaire   +3 more sources

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.
openaire   +1 more source

On the Global Uniform Asymptotic Stability of Time-Varying Systems

Differential Equations and Dynamical Systems, 2013
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Damak, H., Hammami, M. A., Kalitine, B.
openaire   +2 more sources

On the Asymptotic Stability, Uniform Stability, and Boundedness of Solutions to Nonlinear Volterra Integrodifferential Equations

Ukrainian Mathematical Journal, 2021
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Mohammed, S. A., Tunc, C.
openaire   +3 more sources

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
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +1 more source