Lyapunov functional
BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS VIA LYAPUNOV FUNCTIONAL
... of functional differential systems has come into existence ...using lyapunov functions and Razumikhin techniques, some Razumikhin type theorems on stability and boundedness are obtained for a class of ...
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Delay and Its Time Derivative Dependent Stable Criterion for Differential Algebraic Systems
... This article deals with the problem of asymptotic stability for a class of linear differential-algebraic system with time-varying delay. The obtained criteria depend not only on the upper bound but also on the lower ...
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Finite-time Stability, Dissipativity and Passivity Analysis of Discrete-time Neural Networks Time-varying Delays
... neural functional and neural delay differential ...new Lyapunov-Krasovskii functional as well as the free-weighting matrix approach and a linear matrix inequality analysis (LMI) technique ...
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Mean square robust stability of stochastic switched discrete time systems with convex polytopic uncertainties
... discrete Lyapunov functional, a switch- ing rule for the mean square robust stability for the stochastic system with convex polytopic uncertainties is designed via linear matrix ...
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Global Exponential Stability of Delayed Cohen Grossberg BAM Neural Networks with Impulses on Time Scales
... theory, Lyapunov functional method, and some analysis techniques, sufficient conditions are obtained for the existence, uniqueness, and global exponential stability of the equilibrium point of Cohen-Grossberg ...
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Multiple Almost Periodic Solutions and Local Asymptotical Stability in a Harvesting System of Facultative Mutualism with Time Delays
... and Lyapunov functional method, some sufficient conditions for the existence of at least four pos- itive almost periodic solutions and local asymptotical stability to a delayed two-species system of ...
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Vol 2016
... Basic reproduction number; endemic equilibrium; global asymptotic stability; epidemic model; lyapunov functional; temporary immunity; stochastic stability.. 2016 Science Asia 1..[r] ...
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Vol 9, No 2 (2018)
... I n this paper global asymptotic stability analysis of static recurrent neural networks with time-varying delay is studied by the LMI approach. Firstly, a novel Lyapunov functional is introduced, which ...
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Stability and Boundedness of Solutions of Certain Non Autonomous Third Order Nonlinear Differential Equations
... appropriate Lyapunov functional, we obtain sufficient conditions for which all solutions of certain real non-autonomous third order nonlinear differential equations are asymptotically stable and ...
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Stability of highly nonlinear hybrid stochastic integro-differential delay equations
... of the results in this topic require that the coe ffi cients of equations are linear or nonlinear but bounded by linear functions. Recently, without the linear growth condition, [6] has established delay-dependent ...
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The stability analysis of an epidemic model with age-structure in the exposed and infectious classes
... using Lyapunov functionals and LaSalle’s invariance principle, it is proved that if the basic reproduction number is less than unity, the disease-free steady state is globally asymptotically stable; if the basic ...
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New stability criteria for asymptotic stability of time delay systems via integral inequalities and Jensen inequalities
... proposed Lyapunov functional contains some double integral terms and triple integral ...punov functional is very effective to reduce the conservatism of the system ...
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Existence and Uniqueness of Positive (Almost) Periodic Solutions for a Neutral Multi Species Logarithmic Population Model with Multiple Delays and Impulses
... suitable Lyapunov functional, a set of easily applicable criteria are established for the existence, uniqueness and global attractivity of positive periodic solution (positive almost periodic solution) for ...
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A generalized Lyapunov inequality for a higher order fractional boundary value problem
... The paper is organized as follows. In Section , we present some preliminary conclu- sions. In Section , assuming that f is controllable, we obtain the Lyapunov inequality and Lyapunov-type inequality for ...
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Solution of polynomial Lyapunov and Sylvester equations
... In this chapter we have introduced and studied the polynomial Sylvester equation by exploring analogies with the polynomial Lyapunov equation and generalizing the results of [15]. The algorithm for solving the PSE ...
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Stability Analysis of Periodic Solutions of Some Duffing’s Equations
... Our construction of suitable Lyapunov function rests squarely on the ap- proach of [23]. Others who used this approach are [16] [24]. Very few nonlinear systems can be solved explicitly and so we must rely on ...
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On Lyapunov Type Inequalities for Two Dimensional Nonlinear Partial Systems
... Zhou, “Lyapunov inequality for linear Hamiltonian systems on time scales,” Journal of Mathematical Analysis and Applications, vol.. Kaymakçalan, “Lyapunov inequalities for discrete line[r] ...
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On the Lyapunov transformation for stable matrices
... ON THE LYAPUNOV TRANSFORMATION FOR STABLE MA TRICES Thesis by Raphael Loewy In Partial Fulfillment of the Requirements For the Degree of Doctor of Philosophy California Institute of Technology Pasaden[.] ...
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Post-critical Behavior of Three- dimensional Composite Beams Near the Autoparametric Resonance under Flapwise Excitation
... chaos detection, quality tools such as time history plots, phase-plane projections, frequency spectral, and bifurcation diagrams of Poincaré maps are used [1-3]. For the quantification of chaos, some tools such as ...
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On the Stability of Piecewise Genetic Regulatory Networks
... [21] R. A. DeCarlo, M. S. Branicky, S. Pettersson and B. Lennartson, “Perspectives and results on the stability and stabilizability of hybrid systems,” Proceedings of the IEEE, vol. 88, no. 7, pp. 1069-1082, 2000. [22] ...
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