Multiplex control systems: stochastic stability and dynamic reliability

Abstract

The problem of dynamic reliability of multiplex control systems under Markovian structural perturbations is reformulated, analysed, and resolved in the context of stochastic stability and Liapunov's direct method. The failures of controllers are identified as states of a Markov process, and stability conditions are provided for a reliable performance of the multiplex control system alternating between operating (stable) and failure (unstable) structural configurations.