Stability of asynchronous systems with Poisson transitions

We consider the stability of an asynchronous system modeled as a collection of coupled processes with independent Poisson state transitions. Using Lyapunov functions, sufficient conditions for both mean square and almost sure convergence independent of state transition rates are developed for the li...

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Veröffentlicht in:	IEEE transactions on automatic control 1994-01, Vol.39 (1), p.182-185
1. Verfasser:	Leland, R.P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Computer science control theory systems Control system analysis Control theory. Systems Convergence Costs Delay systems Discrete time systems Exact sciences and technology Interconnected systems Large-scale systems Poisson equations Riccati equations Stability State feedback
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Zusammenfassung:	We consider the stability of an asynchronous system modeled as a collection of coupled processes with independent Poisson state transitions. Using Lyapunov functions, sufficient conditions for both mean square and almost sure convergence independent of state transition rates are developed for the linear case, and weaker transition rate dependent conditions are derived for the linear and nonlinear case. An illustrative example is discussed and simulated.< >
ISSN:	0018-9286 1558-2523
DOI:	10.1109/9.273364