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39 259 (0,171s)

Result

Exponential stability of linear discrete systems with nonconstant matrices and nonconstant delay

The exponential stability and exponential estimation of solutions to linear discrete systems with delay are studied. Using the method of Lyapunov functions, conditions are derived for exponential stability...

Pure mathematics

  • 2017
  • D
  • Link
Result

Exponential stability of perturbed linear discrete systems

The paper considers the problem of exponential stability and convergence rate to solutions of perturbed linear discrete homogeneous systems. New criteria on exponential stability are derived by using the second met...

Pure mathematics

  • 2016
  • Jimp
  • Link
Result

Exponential Stability of Linear Discrete Systems with Multiple Delays

The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay $xleft( {k+1} right)=Axleft( k right)+sum_{i=1}^sB_ixleft( {k...

Applied mathematics

  • 2018
  • Jimp
  • Link
Result

Exponential Stability of Linear Discrete Systems with Delay

The paper studies the exponential stability to a linear system of difference equations with delay x (k + 1) = A(k)x (k) + B(k)x (k - m(k)) , k = 0, 1, ... where A(k), B(k) are square constant matrices. New sufficient conditions for...

Applied mathematics

  • 2018
  • D
  • Link
Result

Exponential stability of linear discrete systems with variable delays via Lyapunov Second method

The paper investigates the exponential stability of a linear system of difference equations with variable delays. New criteria for exponential stability are derived using the method of Lyapunov functions and formul...

Applied mathematics

  • 2017
  • Jimp
  • Link
Result

Exponential stability of linear discrete systems with constant coefficients and single delay

In the paper the exponential stability and exponential estimation of the norm of solutions to a linear system of difference equations with single delay x (k + 1) = Ax (k) + Bx (k − m) , k = 0, 1, . . . is studied, where A, ...

Pure mathematics

  • 2016
  • Jimp
  • Link
Result

Exponential stability of linear delayed differential systems

Linear delayed differential systems are analyzed on a half-infinity interval. Uniform exponential stability is derived including, as partial cases, recently published results....

Applied mathematics

  • 2018
  • Jimp
  • Link
Result

Exponential stability and estimation of solutions of linear differential systems with constant delay of neutral type

Exponential stability and estimation of solutions of linear differential systems with constant delay of neutral type are considered......

BA - Obecná matematika

  • 2009
  • D
Result

New exponential stability conditions for linear delayed systems of differential equations

New explicit results on exponential stability, improving recently published results by the authors, are derived for given linear delayed systems. The progress by the constant 1+1/e on the right-hand sides of crucial inequalities en...

Pure mathematics

  • 2016
  • Jimp
  • Link
Result

Simple uniform exponential stability conditions for a system of linear delay differential equations

Uniform exponential stability of linear systems with time varying coefficients is studied. New explicit result is derived with the proofbased on Bohl–Perron theorem....

Pure mathematics

  • 2015
  • Jimp
  • Link
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