Stability and Criticality Analysis for Integer Linear Programs With Markovian Problem Data

Fargeas, Jonathan Las; Niendorf, Moritz; Kabamba, Pierre T.; Girard, Anouck

doi:10.1109/tac.2015.2465271

Cited by 2 publications

(2 citation statements)

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“…where K is the control gain to be determined, and α(t) is defined in (4). In this case, the resulting closed-loop system becomes tȯ…”

Section: Resultsmentioning

confidence: 99%

“…One mechanism is the state of system over time, and another one is named as operation mode and takes values in a finite set. Over the past few decades, many research results on all kinds of MJSs have emerged, such as stability analysis [1]- [3], criticality analysis [4], uncertain transition rates problems [5], regularity analysis [6], stabilization [7]- [9], neutral stochastic delay problem [10], sliding mode control [11], robust control [12], [13], disordered control [14], adaptive control [15]- [17], H ∞ filtering [18]- [21], and so on.…”

Section: Introductionmentioning

confidence: 99%

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Stabilization of Markovian Jump Systems With Controller Failures

Wang

2019

IEEE Access

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This paper focuses on the stabilization problem of continuous-time Markovian jump systems with controller failures. Here, the controller with a fault or not corresponds to a controller useful or not. First, a controller experiencing a fault or not is proposed, whose dwell times of controller useful or not are different constants and taken into account. Since the designed controller could bear faults in alternate intervals, it is named as a fault-tolerant controller here. Then, by constructing a Lyapunov function depending on such two states in terms of controller useful or not, concise conditions for the existence of controller are obtained and could be solved easily, in which the dwell times are included. Finally, a practical example is given to illustrate the effectiveness of the proposed methods. INDEX TERMS Markovian jumping systems, controller failure, fault-tolerant controller, Lyapunov function, dwell times.

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“…where K is the control gain to be determined, and α(t) is defined in (4). In this case, the resulting closed-loop system becomes tȯ…”

Section: Resultsmentioning

confidence: 99%