Collective behavior of multi-agent network dynamic systems under internal and external random perturbations

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 3, 2010, Pages 1330-1344

  Chandra, J ^a   Ladde, G S ^b  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

^b UNIVERSITY OF SOUTH FLORIDA   (United States)

Author keywords

Cohesiveness; Convergence; Dynamic; Invariant sets; Lyapunov Second Method; Multi agent network; Stability

Indexed keywords

COLLECTIVE BEHAVIOR; DYNAMIC INVARIANTS; INVARIANT SET; LYAPUNOV SECOND METHOD; MULTIAGENT NETWORKS; RANDOM PERTURBATIONS;

DYNAMIC PROGRAMMING; DYNAMICAL SYSTEMS; STOCHASTIC MODELS; SYSTEM STABILITY;

MULTI AGENT SYSTEMS;

EID: 77950915893     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.02.022     Document Type: Article

References (9)

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2. A.G. Ladde, G.S. Ladde, An introduction to differential equations II: Stochastic modeling and analysis, Unknown, 2009, (in press)
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4. Arnold L. Stochastic Differential Equations (1971), John Wiley-Interscience Publications, New York, NY
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6. Ladde G.S., and Lakshmikantham V. Random Differential Inequalities (1980), Academic Press, New York, NY
7. Gazi V., and Passino K.M. Stability analysis of swarms. IEEE Trans. Automat. Control. 48 (2003) 692-697
8. Branicky M.S. Multiple Lyapunov functions and analysis tools for switched and hybrid systems. IEEE Trans. Automat. Control. 43 (1998) 475-482
9. Ladde G.S., and Sambandham M. Stochastic Versus Deterministic Systems of Differential Equations (2004), Marcel Dekker, Inc., New York, NY