Results 41 to 50 of about 610,121 (312)
Super-stability and stability of the exponential equations [PDF]
Journal of Mathematical Inequalities, 2010 In this paper, we introduce the concepts of super-stability, stability, δ -Ger-stability of the exponential equation of an operator from a normed space into a normed algebra. By using some results due to J. Baker and R. Ger, we obtain some new conclusions about these stabilities. Mathematics subject classification (2010): Primary 39B52, secondary 39B82,
D. H. Hyers +5 more
openaire +1 more source
Sub-exponential stability for the beam equation
Journal of Differential Equations, 2023 We consider a one-parameter family of beam equations with Hamiltonian non-linearity in one space dimension under periodic boundary conditions. In a unified functional framework we study the long time evolution of initial data in two categories of differentiability: (i) a subspace of Sobolev regularity, (ii) a subspace of infinitely many differentiable ...
Roberto Feola, Jessica Elisa Massetti
openaire +3 more sources
Mathematics, 2019 In this paper, we investigated the stability criteria like an exponential and weakly exponential stable for random impulsive infinite delay differential systems (RIIDDS).
Xiaodi Li +2 more
doaj +1 more source
Polynomial stability of evolution operators in Banach spaces [PDF]
Opuscula Mathematica, 2011 The paper considers three concepts of polynomial stability for linear evolution operators which are defined in a general Banach space and whose norms can increase not faster than exponentially.
Megan Mihail +2 more
doaj +1 more source
New Conditions for the Exponential Stability of Nonlinear Differential Equations
Abstract and Applied Analysis, 2017 We develop a method for proving local exponential stability of nonlinear nonautonomous differential equations as well as pseudo-linear differential systems.
Rigoberto Medina
doaj +1 more source
On Exponential Stability of Composite Stochastic Control Systems
Abstract and Applied Analysis, 2013 New results for exponential stability in probability of a composite stochastic control system are established. The main results of this paper enable us to derive sufficient conditions for exponential stability in -th mean and almost sure exponential ...
Fakhreddin Abedi, Wah June Leong
doaj +1 more source
Exponential Convergence Bounds using Integral Quadratic Constraints
, 2015 The theory of integral quadratic constraints (IQCs) allows verification of stability and gain-bound properties of systems containing nonlinear or uncertain elements.
Boczar, Ross +2 more
core +1 more source
Exponential Stabilization of an Underactuated Surface Vessel [PDF]
Modeling, Identification and Control: A Norwegian Research Bulletin, 1997 Summary: The paper shows that a large class of underactuated vehicles cannot be asymptotically stabilized by either continuous or discontinuous state feedback. Furthermore, stabilization of an underactuated surface vessel is considered. Controllability properties of the surface vessels is presented, and a continuous periodic time-varying feedback law ...
Kristin Y. Pettersen, Olav Egeland
openaire +4 more sources
Nonuniform exponential stability for evolution families on the real line
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 The purpose of the present paper is to investigate the problem of nonuniform exponential stability of evolution families on the real line using the input-output technique known in the literature as the Perron method for the study of exponential stability.
Morariu Claudia Isabela, Preda Petre
doaj +1 more source
Exponential stability analysis for nonlinear time-varying perturbed systems on time scales
AIMS Mathematics, 2023 This paper is concerned with the stability of nonlinear time-varying perturbed system on time scales under the assumption that the corresponding linear time-varying nominal system is uniformly exponentially stable.
Cheng-Xiu Qiang +2 more
doaj +1 more source