[PDF] Top 20 The Stability Cone for a Matrix Delay Difference Equation
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The Stability Cone for a Matrix Delay Difference Equation
... Let us assume that some point 5.2 does not lie strictly inside the cone. Then, for the initial data in 5.4, we assume that y s −n 0 for any s, n, such that 1 s j, 1 n k. Thus, 5.4 becomes 5.6. If the point 5.2 ... See full document
16
A note on asymptotic stability of delay difference systems
... erence equation is asymptotically stable if and only if all the roots of its associated characteristic equation are inside the unit ...characteristic equation in and on the unit circle to get the ... See full document
7
Ulam stability of Caputo q fractional delay difference equation: q fractional Gronwall inequality approach
... In this article, we discuss the existence and uniqueness of solution of a delay Caputo q-fractional difference system. Based on the q-fractional Gronwall inequality, we analyze the Ulam–Hyers stability and ... See full document
13
Stability of Numerical Schemes for the Delay Blowflies Equation
... the difference on the numerical solutions between the Trapezoidal scheme (Figure 3(a)) and the implicit Euler method (Figure 3(b)) with the same parameter values as in Figure ... See full document
6
Stability and direction for a class of Schrödingerean difference equations with delay
... A biological system is a nonlinear system, so it is still a public problem upon how to con- trol the biological system balance. The predecessors have done a lot of research. Especially the research on the predator-prey ... See full document
8
A note on asymptotic stability conditions for delay difference equations
... Kaewong: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand E-mail address: [email protected] Y.. Lenbury: Department of Mathematics, Fac[r] ... See full document
7
Stability Results for a Class of Difference Systems with Delay
... The null solution of 1.1 is asymptotically stable if and only if all the roots of the characteristic equation 1.6 are inside the unit circle. Therefore, in order to characterize the asymptotic stability of ... See full document
13
Further results on robust stability for uncertain neutral systems with distributed delay
... The stability analysis of neutral delay-differential systems has received considerable at- tention over the decades ...characteristic equation method [17], the Lya- punov technique [18], and the state ... See full document
16
Hyers Ulam stability of the first order matrix difference equations
... Hyers-Ulam stability of the first-order matrix difference equations has been proved in [] in a general ...the stability problems for the ‘backward’ difference equations have been treated in Section ... See full document
13
On stability of delay difference equations with variable coefficients: successive products tests
... and X() = A()X(). Similarly, we construct A(n), n ∈ N and obtain system (). Since X(n) ≥ |x(j)|, j = nd – d + , nd – d + , . . . , nd, exponential (asymptotical) stability of () implies the relevant ... See full document
8
On stability and state feedback stabilization of singular linear matrix difference equations
... Theorem for uniform stability to be applied in singular systems. After we considered the system (1) and proved that all solutions of the non homogeneous system are bounded provided that the homogeneous system (3) ... See full document
20
Stability of a delay difference system
... If each root of any equation (3.7) lies inside the unit disk, then each solution of (3.6) lies inside the unit disk, and conversely. The inclusion of all solutions of (3.7) in the unit disk is the condition for ... See full document
9
On the Stability of Linear Repetitive Processes described by a Delay Difference Equation
... the stability analysis of linear repetitive processes described by a delay-dif- ference equation—a model which arises in certain applications ...these stability conditions produce exactly the ... See full document
5
Explicit Conditions for Stability of Nonlinear Scalar Delay Impulsive Difference Equation
... uniform stability and global attractivity of the zero solution of nonlinear scalar delay impulsive difference equation, which extend and improve the known results in the ... See full document
17
Existence of chaos for a simple delay difference equation
... the delay, and f : R → R is a real function. Equation () is known as a generalization of a neural ...the stability character- ...the stability and chaos when f (x) and the system parameters ... See full document
8
Summing series arising from integro-differential-difference equations
... The zeros of this equation are well documented and since many research papers have been interested in the stability of the solution of the differential-difference equation[r] ... See full document
29
Existence of positive solution and Hyers–Ulam stability for a nonlinear singular delay fractional differential equation
... In this article, we consider a study of a general class of nonlinear singular fractional DEs with p-Laplacian for the existence and uniqueness (EU) of a positive solution and the Hyers–Ulam (HU) stability. To ... See full document
13
Exponential Stability of the Heat Equation with Boundary Time-Varying Delays
... Time-delay often appears in many biological, electrical engineering systems and mechanical applica- tions, and in many cases, delay is a source of instability [3]. In the case of distributed parameter ... See full document
11
Stability Analysis of a Nonlinear Difference Equation
... asymptotic stability of the equilibrium point of Equation ...asymptotic stability behavior was used, like the idea in ...the stability was examined that depends on the conditions of the ... See full document
6
On stability regions of the modified midpoint method for a linear delay differential equation
... asymptotic stability proper- ties of ...asymptotic stability region of () becomes | b | + a < ...asymptotic stability conditions turn ... See full document
10
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