Stability theorem
Existence of best proximity points for controlled proximal contraction
... the stability theorem for fixed point sets of multivalued contraction mappings by relaxing the condition assumed by Markin ...the stability of best proximity point sets of non-self-multivalued ...the ...
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Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces
... Ulam-Hyers stability theorem for a nonlinear equation in probabilistic metric spaces, which is then used to obtain stability properties for different kinds of functional equations linear functional ...
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Nonlinearly stable equilibria in the Sun-Jupiter-Trojan-Spacecraft four body problem
... the stability of the Low thrust Sun Jupiter Asteroid Spacecraft system, is presented, from a Hamiltonian point of ...Lyapunov stability of these marginally stable points is then analysed using basic KAM ...
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Generalized Projective Synchronization for Chaotic Systems via Active Control with Reduced Order
... asymptotic stability theorem for nonlinear systems in which an asymptotic stability can be achieved when the coefficient matrix satisfies a specific ...the stability theorem is given, ...
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Feedback Chaotic Synchronization with Disturbances
... is satisfied, we will obtain V t ( ) < 0 . According to Lyapunov stability theorem, the error system (13) will converge to zero when the error is not within the bound ε , i.e. system (10) and system ...
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Online Full Text
... Lyapunov stability theorem, the TIVNFS-A system is trained by the back-propagation (BP) algorithm having an optimal learning rate (adaptive learning rate) to guarantee the stability and faster ...
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Image Noise Cancellation Using Linear Matrix Inequality and Cellular Neural Network
... According to the training system (see Fig. 1), we will first derive a criterion for the uniqueness and global asymptotic stability of the equilibrium point of the CNN based on the Lyapunov stability ...
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Stability Theorems for Stochastic Differential Equations (S.D.E.’s) with Memory (Part 2)
... can be considered as representing position, velocity and history of position respectively. We will call the space containing this triple ”the history space X”. In section three of [3]) we have proved a stability ...
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On the Lagrange Stability of Motion and Final Evolutions in the Three Body Problem
... Lagrange stability. To analyze the stability, along with integrals of energy and angular momentum, we use relations by the author from [1], which band together separately squared mutual dis- tances between ...
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Razumikhin type theorem and mean square asymptotic behavior of the backward Euler method for neutral stochastic pantograph equations
... niques are adopted to overcome the difficulties from infinite delay. Note that Eq. () is also a class of NSFDEs with time delay τ (t) = ( – q)t ↑ ∞ as t → ∞ . For given t > , it is easy to see that the solution x(t) ...
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Three-dimensional slope stability problem with a surcharge load
... slope stability by the limit equilibrium method, the factor of safety is based on the equilibrium of discrete slices (Bishop, 1955; Morgenstern and Price, 1965; Spencer, 1967; Janbu, ...
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Fuzzy approximation of Euler Lagrange quadratic mappings
... of stability theory of functional ...the stability problems of several functional equations have been exten- sively investigated by a number of authors (see [–, ...
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A General Theorem on the Stability of a Class of Functional Equations including Quartic-Cubic-Quadratic-Additive Equations
... The stability problem for functional equations started with the famous question of Ulam [15]: Under what conditions does there exist an additive function near an approximately additive function? In 1941, Hyers [4] ...
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A macroeconomic mathematical model for the national income of a union of countries with interaction and trade
... the stability of the equilibrium state of the system and suggests a typical state feedback action for the different parameters involved, while it also proposes how to design the corresponding solution ...
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Hopf Bifurcations in a Predator Prey System of Population Allelopathy with Discrete Delay
... have investigated the bifurcation behavior on time delay of this modified dynamical system (6). It has also been observed that time delay can drive the competitive sys- tem to sustained oscillations, as shown by Hopf ...
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A Generalized Halanay Inequality for Stability of Nonlinear Neutral Functional Differential Equations
... Note that in this case, γt ≡ 0, and condition 3.26 is equivalent to condition 3.30. Since Theorem 3.7 or Theorem 3.8 of the present paper can be applied to 3.41 with a variable delay τt, 0 ≤ τ t ≤ τ , and ...
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Existence and stability of periodic solutions for a class of generalized nonautonomous neural networks with distributed delays
... The organization of this paper is as follows. In the second section, we prove the ex- istence of periodic solutions of system (1.2) by applying the continuation theorem of coincidence degree theory. In the third ...
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A Sufficient Condition for the Almost Global Stability of Nonlinear Switched Systems with Average Dwell Time
... Abstract— A sufficient condition for the almost global sta- bility of nonlinear switched systems under average dwell time restriction is obtained. This condition is derived leaning upon the existence of multiple Lyapunov ...
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Weak Lyapunov functions for hybrid dynamical systems: applications to electrical and mechanical systems
... We discuss briefly the modeling power of this hybrid systems formalism on the ba- sis of the problems addressed in the next chapters. The ripple disturbances in Chap- ter 3 are nonsmooth (that is, not continuously ...
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Exponential stability in a scalar functional differential equation
... As shown in [9, Chapter 6, Theorem 2.3], condition (2.6) implies that the semiflow (2.3) is strongly order-preserving (see [9, Chapter 1] for the definition of a strongly order- preserving semiflow which is not ...
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