On the stability of jump-linear systems driven by finite-state machines with Markovian inputs

This work presents two mean-square stability tests for a jump-linear system driven by a finite-state machine with a first-order Markovian input process. The first test is based on conventional Markov jump-linear theory and avoids the use of any higher-order statistics. The second test is developed d...

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Bibliographic Details
Main Authors: Patilkulkarni, S., Herencia-Zapana, H., Gray, W.S., Gonzalez, O.R.
Format: Conference Proceeding
Language:English
Subjects:
Applied sciences
Communication system control
Computer errors
Computer science
control theory
systems
Control system synthesis
Control systems
Control theory. Systems
Error correction
Exact sciences and technology
Fault tolerance
Higher order statistics
Markov processes
Stability analysis
System testing
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Summary:This work presents two mean-square stability tests for a jump-linear system driven by a finite-state machine with a first-order Markovian input process. The first test is based on conventional Markov jump-linear theory and avoids the use of any higher-order statistics. The second test is developed directly using the higher-order statistics of the machine's output process. The two approaches are illustrated with a simple model for a recoverable computer control system.
ISSN:0743-1619
2378-5861
DOI:10.23919/ACC.2004.1383846