Results 221 to 230 of about 5,743 (261)

Integral Characterizations of Uniform Asymptotic and Exponential Stability with Applications

Mathematics of Control, Signals, and Systems, 2002
Integral characterizations of uniform global asymptotic stability (UGAS) and uniform global exponential stability (UGES) for time-varying differential inclusions are proved. These integral characterizations are used to conclude UGAS from uniform global stability (UGS) and suitable properties of the derivatives of a family of functions.
Andrew Teel, Antonio Loria
exaly   +3 more sources

Relaxed persistency of excitation for uniform asymptotic stability

IEEE Transactions on Automatic Control, 2001
The authors of this paper propose a relaxed definition for persistence of excitation (uniform persistence of excitation), a property crucial for some stability analyses of parameter identification algorithms and adaptive control systems. The relaxed definition is used to establish uniform global asymptotic stability and uniform local exponential ...
Elena Panteley, Antonio Loria
exaly   +2 more sources

ON UNIFORM ASYMPTOTIC STABILITY OF INFINITE DELAY DIFFERENCE EQUATIONS

Chinese Annals of Mathematics Series B, 2001
The author considers the infinite delay difference equation \[ x(n+1)= F\bigl(n,x_n (\cdot)\bigr) \] with \(x_n(s)= x(n+s)\), \(s\leq 0\), \(F:\mathbb{Z} \times{\mathcal C}_H \to\mathbb{R}^k\) where \({\mathcal C}_H= \{\varphi\in {\mathcal C},\|\varphi \|< H\}\) and \({\mathcal C}\) is the space of the sequences \(\{\varphi_k \}_k ...
Shunian Zhang
exaly   +3 more sources

Uniform asymptotic stability of hybrid dynamical systems with delay

IEEE Transactions on Automatic Control, 2003
We formulate a model for hybrid dynamical systems with delay, which covers a large class of delay systems. Under several mild assumptions, we establish sufficient conditions for uniform asymptotic stability of hybrid dynamical systems with delay via a Lyapunov-Razumikhin technique.
Zhujun Jing
exaly   +2 more sources

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   +2 more
exaly   +2 more sources

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 stability and contractive semigroups of mappings in uniform spaces

Acta Mathematica Hungarica, 1992
The 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.
exaly   +3 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   +3 more
openaire   +3 more sources

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