On finite time stability: Novel delay dependent criteria
| Autor: | D. Lj. Debeljkovic, Vladimir H. Janković, Ivan Buzurovic |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
030213 general clinical medicine
0209 industrial biotechnology State variable Differential equation Linear control systems 02 engineering and technology Delay dependent 03 medical and health sciences Stability conditions 020901 industrial engineering & automation 0302 clinical medicine Control theory Latency (engineering) Finite time Mathematics |
| Zdroj: | 2015 16th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA). |
| DOI: | 10.1109/sta.2015.7505239 |
| Popis: | This study presents novel sufficient conditions for both finite-time and practical stability of the continuous linear control systems with latency in the state variables. The analyzed systems are mathematically represented using the state space differential equations with time delay. The new delay-independent finite time stability criteria were generated utilizing the Lyapunov-Krasovskii functional. This functional is not required to have non-negative definite properties on the entire state space. Furthermore, it is not required that the derivations of the functional are negative along the trajectories as it is the case for conventional stability conditions. Consequently, the presented conditions can be implemented in a practical calculation without difficulties. |
| Databáze: | OpenAIRE |
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