Abstract
This paper is devoted to stabilization problem of linear time-invariant (LTI) continuous-time systems under stochastic multiplicalive uncertainty and time-delay. In its full generality, we model the stochastic multiplicative uncertainty as a random process with a certain distribution. We assess the stability of system based on mean-square criteria. Our main contribution includes the fundamental condition, both necessary and sufficient, which insures that the single-input single-output systems (SISO) can be mean-square stabilized by output feedback. This condition provides explicitly a fundamental limit on mean-square staibilizability imposed by the signal-to-noise ratio (SNR), the system’s unstable poles, nonminimum phase zeros and time-delay.
| Original language | English |
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| Title of host publication | IFAC-PapersOnLine |
| Pages | 106-111 |
| Volume | 49 (No. 10) |
| DOIs | |
| Publication status | Published - 2016 |
| Event | 13th IFAC Workshop on Time Delay Systems, TDS 2016 - Istanbul, Türkiye Duration: 22 Jun 2016 → 24 Jun 2016 https://www.ifac-control.org/events/time-delay-systems-13th-tds-2016 http://www.tds2016.itu.edu.tr/Final_Program_SSSC-TDS_2016.pdf |
Conference
| Conference | 13th IFAC Workshop on Time Delay Systems, TDS 2016 |
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| Abbreviated title | TDS 2016 |
| Place | Türkiye |
| City | Istanbul |
| Period | 22/06/16 → 24/06/16 |
| Internet address |
Research Keywords
- Mean square stability and stabilization
- constant time-delay
- stochastic multiplicative uncertainty