On Stability Analysis of Discrete-Time Systems with Constrained Time-Delays via Nonlinear Halanay-Type Inequality
| Autor: | Maria Teresa Grifa, Pierdomenico Pepe |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Control and Optimization Discrete-time delay systems Digraph Topology (electrical circuits) 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Stability (probability) contrained time-delays discrete-time nonlinear Halanay inequality uniform global asymptotic stability Nonlinear system symbols.namesake Matrix (mathematics) 020901 industrial engineering & automation Discrete time and continuous time Exponential stability Control and Systems Engineering symbols Applied mathematics 0101 mathematics Mathematics |
| Popis: | This letter aims to study the problem of stability for discrete-time fully nonlinear time-delay systems with constrained time-varying delays. A delays digraph is used to model the topology of the delay signals. By exploiting the Halanay technique and suitable Lyapunov functions, some sufficient conditions for the global asymptotic stability, uniform global asymptotic stability and global exponential stability are established. A matrix inequality is derived, and it is employed to prove the global exponential stability of linear discrete-time delay systems with delay signals obeying to a delays digraph. Finally, examples are given to illustrate the results. |
| Databáze: | OpenAIRE |
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