Results 291 to 300 of about 610,121 (312)
Exponential growth bound and exponential stability [PDF]
, 1998 In Section 5.1, we characterize the exponential growth bound of the propagators of (ACP n ) in a Hilbert space in terms of the behavior of on vertical lines in a half complex plane. As a consequence we show that the propagators are exponentially stable if P λ is boundedly invertible in {λ ∈ C; Reλ ≥ 0} with uniformly bounded there.
Ti-Jun Xiao, Jin Liang
openaire +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Stability for Multivariate Exponential Families
Journal of Mathematical Sciences, 2001Let \(E\) be a Euclidean space, let \(Z :\Omega\to E\) be a nondegenerate random vector, and suppose there is an open convex set \(D\subset E\) such that \(P(Z\in \overline{D}) = 1\). If \(\mu\) is the distribution of \(Z\), define measures \(\mu_\lambda\) by \(d\mu_\lambda(x) = e^{\lambda x}d\mu(x)\), \(x\in E\), for any \(\lambda\) in the dual space \
Claudia Klüppelberg +2 more
openaire +3 more sources
Almost exponential stability and exponential stability of resolvent operator families
Semigroup Forum, 2016In this paper, we introduce a new concept of stability of resolvent operator families, almost exponential stability. We establish a perturbation theorem on analytic resolvent operator families, and derive some sufficient conditions on the almost exponential stability or exponential stability of resolvent operator families by using rescaling technique ...
Zhenbin Fan, Qixiang Dong, Gang Li
openaire +2 more sources
On exponential absolute stability†
International Journal of Control, 1972Abstract A new sufficient condition is formulated for the Lur'e type non-linear continuous system to bo exponentially absolutely stable. The condition relaxes the assumptions on the non-linear characteristic by modifying the requirements on the linear part of the syatem.
Dragoslav D. Šiljak, C. K. Sun
openaire +2 more sources
Exponential stabilization of the rolling sphere
Automatica, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tuhin Das, Ranjan Mukherjee
openaire +3 more sources
Stability of the characterization of the exponential law
Journal of Soviet Mathematics, 1986Translation from Stability problems of stochastic models, Proc. Semin., Moskva 1982, 39-46 (Russian) (1982; Zbl 0526.62010).
Boyan N. Dimitrov +2 more
openaire +2 more sources
Exponential Stability by the Linear Approximation
Differential Equations, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Stability and exponential stability in linear viscoelasticity
Milan Journal of Mathematics, 2009In this survey paper, we discuss the decay properties of the semigroup generated by a linear integro-differential equation in a Hilbert space, which is an abstract version of the equation $${\partial_{tt}}u(t) - \Delta u(t) + {\int_0^\infty} \mu(s) \Delta u(t - s) {\rm{d}}s = 0$$
openaire +3 more sources
Exponential stability and stabilization of nD systems
2015 54th IEEE Conference on Decision and Control (CDC), 2015The paper considers nonlinear nD discrete and continuous systems described by a state-space model of the Roesser form where the property of exponential stability is characterized by use of a vector Lyapunov function. The property of exponential dissipativity is defined and a particular case of this property, termed exponential passivity, is used ...
Julia Emelianova +3 more
openaire +2 more sources
Stability of an exponentially stabilizable system
IEEE Transactions on Automatic Control, 1984Summary: Let A be the generator of a \(C_ 0\) semigroup T(t), \(t\geq 0\), and denote by S(t), \(t\geq 0\), the semigroup generated by A-K, where K is a bounded linear operator on a Hilbert space. In this note we find necessary and sufficient conditions for the original semigroup T(t), \(t\geq 0\), to be exponentially stable, given that the ''feedback''
openaire +3 more sources