14 citations · 16 across the 8 of their papers we have counts for
8 papers
Finite Necessary and Sufficient Stability Conditions for Linear System with Pointwise and Distributed Delays
Alejandro Castaño, Carlos Cuvas, Alexey Egorov +1
This contribution presents two exponential stability criteria for linear systems with multiple pointwise and distributed delays. These results (necessary and sufficient conditions)…
Lyapunov stability tests for linear time-delay systems
Sabine Mondié, Alexey Egorov, Marco A. Gomez
An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof are presented in details for the case of systems…
Technical comments on the optimal control for linear distributed time-delay
Jorge Ortega, Omar Santos, Liliam Rodríguez +1
The solution to the infinite horizon optimal control problem for linear distributed time-delay systems is presented. The proposal is based on the use of the Cauchy solution for dis…
Necessary and sufficient stability conditions for integral delay systems
Reynaldo Ortiz, Alexey Egorov, Sabine Mondié
A Lyapunov-Krasovskii functional with prescribed derivative whose construction does not require the stability of the system is introduced. It leads to the presentation of stability…
Lyapunov-Krasovskii functionals for some classes of nonlinear time delay systems
Gerson Portilla, Irina V. Alexandrova, Sabine Mondié
In this contribution, we study an homogeneous class of nonlinear time delay systems with time-varying perturbations. Using the Lyapunov-Krasovskii approach, we introduce a function…
Estimates for weighted homogeneous delay systems: A Lyapunov-Krasovskii-Razumikhin approach
Gerson Portilla, Irina Alexandrova, Sabine Mondié
In this paper, we present estimates for solutions and for the attraction domain of the trivial solution for systems with delayed and nonlinear weighted homogeneous right-hand side…
Estimates for solutions of homogeneous time-delay systems: Comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin techniques
Gerson Portilla, Irina Alexandrova, Sabine Mondié +1
In this contribution, the estimates for the response of time delay systems with nonlinear homogeneous right-hand side of degree strictly greater than one are constructed. The exist…
On the Lyapunov Matrix of Linear Delay Difference Equations in Continuous Time
Emanuel Rocha, Sabine Mondié, Michael Di Loreto
The fundamental matrix and the delay Lyapunov matrix of linear delay difference equations are introduced. Some properties of the Lyapunov matrix, and the jump discontinuities of it…