Asymptotically Stable
Delay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems
... In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition ...
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Variationally Asymptotically Stable Difference Systems
... We remark that for linear homogeneous systems, restrictive stability and strong sta- bility are equivalent [14, Theorem 5.5.2]. Also the linear di ff erence system is restrictively stable if and only if it is ...
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Robust guaranteed-cost preview repetitive control for polytopic uncertain discrete-time systems
... On the other hand, for many control system, when a system is depen- dent on uncertain parameters, it is desirable to design a control system is not only asymptotically stable but also guarantees an adequate ...
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An Optimized Design Methodology &Synthesis for Stability of 3rd-Pole Current-Mode Active-R Filter
... Fig 3 shown the pole/zero map for lowpass response for values of =20 KHz and Q =1. The Zeros and Poles of lowpass response are given as Z =0, 0 and 0 where these three Zeros are at infinity, and Poles at-1.26×10^5, and ...
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SOLVING ECONOMIC DISPATCH PROBLEM USING PARTICLE SWARM OPTIMIZATION BY AN EVOLUTIONARY TECHNIQUE FOR INITIALIZING PARTICLES
... study asymptotically stability of partial variables in this ...asymptotically stable. From figure 2 and figure 3, we can see x is asymptotically stable, and not 2 for x ...
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Asymptotic Stability of Solutions of Lotka Volterra Predator Prey Model for Four Species
... Keywords Lotka-Volterra, Prey-Predators, Species, Equilibrium Points Stability, Locally Asymptotically Stable, Globally Asymptotically Stable, Unstable.. Introduction The Lotka-Volterra [r] ...
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The Stability Cone for a Matrix Delay Difference Equation
... Example 2.3. Let k 6 and, also, 1 a 0.2, 2 a 0.75, and 3 a 1.1. Let b 0.33 exp iα, 0 α < 2π. Let us analyze the asymptotic behavior of the solutions of 1.2 for all values of α. We construct three stability ovals for ...
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ON THE GLOBAL STABILITY OF CHOLERA MODEL WITH PREVENTION AND CONTROL
... globally asymptotically stable but with weak control, a unique and globally stable endemic equilibrium would occur, though at a lower infection ...
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Solutions to Lyapunov stability problems of sets: nonlinear systems with differentiable motions
... In order.for a compact invariant set J of the system 3.lab with the Weak Smoothness Property to be asymptotically stable it is both necessary and sufficient that 1 for arbitrarily select[r] ...
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Dynamics for infinite dimensional games
... The theory presented in this paper leaves many questions unanswered. Perhaps the most pressing need is to fill the gap between the necessary and sufficient conditions of Propositions 13 and 19 for a Nash equilibrium to ...
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Stabilisation and destabilisation of nonlinear differential equations by noise
... is asymptotically stable. Then this system can be destabilised by an equilibrium–preserving noise perturbation, in the sense that there exists a locally Lipschitz continuous function g : R d → R d×r with ...
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On the asymptotic stability and numerical analysis of solutions to nonlinear stochastic differential equations with jumps
... the asymptotically stable in the pth moment and almost surely exponentially stable under nonlinear growth conditions; Meantime, we show that the approximate solution converges in probability to the ...
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Stability Analysis and Stabilization Strategy for Discrete Networked Control Systems
... For discrete networked control systems (NCSs) with random and bounded network transmission delay, sufficient conditions which make state-feedback NCSs asymptotically stable are derived by the ...
9
An Investigation into Model Order Reduction through Balancing Methods and their Error Norm
... is asymptotically stable and minimal; the given two Lyapunov equations contain a property that has unique symmetric positive definite solutions ( ) termed as controllability and observability gramians, ...
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Periodic Dynamical Systems of Population Models.
... We give conditions to ensure that a period-n system of population models sharing a fixed point and enveloping function has a globally asymptotically stable trivial geometric cycle.. We a[r] ...
104
New Asymptotical Stability and Uniformly Asymptotical Stability Theorems for Nonautonomous Difference Equations
... In addition to the hypotheses of Theorem 1, we can obtain that the zero solution of system 1.1 is uniformly asymptotically stable if V n, xn has an indefinitely small upper bound as in[r] ...
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Almost Periodic Oscillation in a Watt-type Predator-prey Model with Diffusion and Time Delays
... In this paper we have obtained the uniform permanence and existence of a globally asymptotically stable positive almost periodic solution for a Watt-type almost periodic predator-prey model with diffusion ...
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Global Analysis of an SEIR Epidemic Model with a Ratio Dependent Nonlinear Incidence Rate
... We consider the global properties of this SEIR model and show that if the basic reproduction number R0 ≤ 1 , the disease-free equilibrium point is globally asymptotically stable, while i[r] ...
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Solutions to Lyapunov stability problems: nonlinear systems with continuous motions
... For the state x 0 of the system 3.1 possessing Weak Smoothness Property to be asymptotically stable it is both necessary and sufficient that for any positive definite function p ES;f the[r] ...
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Modeling leafhopper populations and their role in transmitting plant diseases.
... In Chapter §2, we derive a model that incorporates disease latencies in both leafhoppers and crops. For the general model, the well-posedness of the model is verified and the local stability of the insect-free ...
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