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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF

Book Information

Authors: Anthony N. Michel and Richard K. Miller
Title: Qualitative analysis of large scale dynamical systems
Additional book information Academic Press, New York, 1977, xv + 289 pp., $22.50.


References [Enhancements On Off] (What's this?)

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  • 2. V. M. Matrosov, The comparison principle with a vector valued function.I, II, and III, Differential'nye Uravnenija 4 (1968), 1374-1384, 1739-1752; 5 (1969), 1171-1185.
  • 3. V. M. Matrosov, Vector Lyapunov functions in the analysis of nonlinear interconnected systems, Symposia Mathematica, Vol. VI (INDAM, Rome, 1970) Academic Press, London, 1971, pp. 209–242. MR 0280820 (43 #6539)
  • 4. V. M. Matrosov, The comparison method in the dynamics of systems. I, II, Differencial′nye Uravnenija 10 (1974), 1547–1559, 1730; ibid. 11 (1975), 403–417, 586 (Russian). MR 0374574 (51 #10774)
  • 5. V. Lakshmikantham, Several Lyapunov functions, Proc. of the Fifth Internat. Conference on Nonlinear Oscillation, Kiev, U.S.S.R., 1969, pp. 268-275.
  • 6. V. Lakshmikantham, On the method of vector Lyapunov functions, Proc. Twelfth Annual Allerton Conference on Circuit and System Theory, October, 1974, pp. 71-76.
  • 7. P. Habets and K. Peiffer, Classification of stability-like concepts and their study using vector Lyapunov functions, J. Math. Anal. Appl. 43 (1973), 537–570. MR 0333371 (48 #11696)
  • 8. D. D. Siljak, Stability of large scale systems, Proc. of the IFAC Fifth World Congress, 1972, pp. 1-11.
  • 9. D. D. Siljak, Competitive economic systems; stability, decomposition and aggregation. Proc. of the IEEE Conf. on Decision and Control, 1973, pp. 265-275.
  • 10. Dragoslav D. Šiljak, Stability of large-scale systems under structural perturbations, IEEE Trans. Systems, Man, and Cybernet. SMC-2 (1972), 657–663. MR 0316121 (47 #4669)
  • 11. Dragoslav D. Šiljak, Large-scale dynamic systems, North-Holland Series in System Science and Engineering, vol. 3, North-Holland Publishing Co., New York-Amsterdam, 1979. Stability and structure. MR 595867 (82j:93004)
  • 12. D. D. Šiljak and M. B. Vukčević, Large-scale systems: stability, complexity, reliability, J. Franklin Inst. 301 (1976), no. 1/2, 49–69. Recent trends in systems theory. MR 0411771 (53 #15499)
  • 13. G. S. Ladde, Cellular systems. I. Stability of chemical systems, Math. Biosci. 29 (1976), no. 3-4, 309–330. MR 0682070 (58 #33092)
  • 14. G. S. Ladde, Stability of model ecosystems with time-delay, J. Theoret. Biol. 61 (1976), no. 1, 1–13. MR 0414187 (54 #2291)
  • 15. Gangaram S. Ladde and Dragoslav D. Šiljak, Connective stability of large-scale stochastic systems, Internat. J. Systems Sci. 6 (1975), no. 8, 713–721. MR 0456849 (56 #15069)
  • 16. G. S. Ladde and D. D. Šiljak, Stability of multispecies communities in randomly varying environment, J. Math. Biol. 2 (1975), no. 2, 165–178. MR 0398570 (53 #2421)
  • 17. G. S. Ladde and D. D. Siljak, Stochastic stability and instability of model ecosystems, Proc. IFAC Sixth World Congress, 1975, pp. 1-7.
  • 18. D. D. Siljak, On the stability of arms race, Chapter 9, in Mathematical Systems in International Relations Research, Edited by J. V. Gillespie and D. A. Zimmes, Praeger Publishers, New York, 1977.


Review Information

Reviewer: V. Lakshmikantham
Journal: Bull. Amer. Math. Soc. 84 (1978), 937-939
DOI: http://dx.doi.org/10.1090/S0002-9904-1978-14539-X
PII: S 0002-9904(1978)14539-X