-Exponential Stability of Nonlinear Impulsive Dynamic Equations on Time Scales
Abstract and Applied Analysis, 2013 The purpose of this paper is to present the sufficient -exponential, uniform exponential, and global exponential stability conditions for nonlinear impulsive dynamic systems on time scales.
Veysel Fuat Hatipoğlu +2 more
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IET Control Theory & Applications, 2021 This paper is concerned with necessary and sufficient conditions for stabilisability of time‐varying discrete‐time switched systems. Starting with an asymptotically stable function, an exponentially stable function and a uniformly exponentially stable ...
Junjie Lu, Zhikun She, Fucheng Liao
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Further Results on Strict Lyapunov Functions for Rapidly Time-Varying Nonlinear Systems [PDF]
, 2006 We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics ...
de Queiroz, Marcio S. +2 more
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Stabilizability and controllability of systems associated to linear skew-product semiflows [PDF]
, 2002 This paper is concerned with systems with control whose state evolution is described by linear skew-product semiflows. The connection between uniform exponential stability of a linear skewproduct semiflow and the stabilizability of the associated system ...
Megan, Mihail +2 more
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Uniform asymptotic stability implies exponential stability for nonautonomous half-linear differential systems [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Onitsuka, Masakazu, Soeda, Tomomi
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Exponential stability for infinite-dimensional non-autonomous port-Hamiltonian Systems
, 2019 We study the non-autonomous version of an infinite-dimensional port-Hamiltonian system on an interval $[a, b]$. Employing abstract results on evolution families, we show $C^1$-well-posedness of the corresponding Cauchy problem, and thereby existence and ...
Augner, Björn, Laasri, Hafida
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Slope restrictions and monotonicity in nonlinear systems: almost linear behavior
Electronic Journal of Qualitative Theory of Differential Equations, 2012 The problems of absolute stability and existence of forced oscillations for systems with sector restricted nonlinearities are considered. An overview of the results for systems described by ordinary differential equations with constant and periodic ...
Vladimir Rasvan
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EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS [PDF]
Fiabilitate şi Durabilitate, 2022 This paper discuses exponential dichotomy problems for a class of discrete-time systems affected by both Markovian jumps and independent random perturbations.
Viorica Mariela UNGUREANU +1 more
doaj
Feedback boundary stabilization of wave equations with interior delay
, 2010 In this paper we consider a boundary stabilization problem for the wave equation with interior delay. We prove an exponential stability result under some Lions geometric condition.
Ammari, K., Nicaise, S., Pignotti, C.
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High-order full discretization for anisotropic wave equations [PDF]
, 2018 Two-dimensional linear wave equation in anisotropic media, on a rectangular domain with initial conditions and periodic boundary conditions, is considered. The energy of the problem is contemplated.
Portillo de la Fuente, Ana María
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