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Lyapunov functionals for certain linear delay differential equations in a Hilbert space

  • Published:1980-07 Issue:1 Volume:76 Page:37-57
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Datko Richard

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference11 articles.

1. Differential-Difference Equations;Bellman,1963

2. A Liapunov functional for a matrix difference-differential equation;Castelan;J. Differential Equations,1977

3. An algorithm for computing Liapunov functionals for some differential-difference equations;Datko,1972

4. Linear autonomous neutral differential equations in a Banach space;Datko;J. Differential Equations,1977

5. Representation of solutions and stability of linear differential-difference equations in a Banach space;Datko;J. Differential Equations,1978

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1. Verification Methods for the Lyapunov–Krasovskii Functional Inequalities;SIAM Journal on Control and Optimization;2024-03-04

2. An enhanced stability criterion for linear time-delayed systems via new Lyapunov–Krasovskii functionals;Advances in Difference Equations;2020-01-13

3. Analytic Solution of a Delay Differential Equation Arising in Cost Functionals for Systems With Distributed Delays;IEEE Transactions on Automatic Control;2019-11

4. Index;Stochastic Stability of Differential Equations in Abstract Spaces;2019-04-30

5. Appendix;Stochastic Stability of Differential Equations in Abstract Spaces;2019-04-30
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