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Book Information

Author(s): 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

1.: V. M. Matrosov, On the theory of stability of motion, Prikl. Mat. Meh. 26 (1962), 992-1002. MR 150404
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, Symp. Math. Roma 6, Mechanica Nonlineare Stabilita 1970, Academic Press, New York (1971), 209-242. MR 280820
4.: V. M. Matrosov, Comparison method in system dynamics, Differential'nye Uravnenija 10 (1974), 1547-1559; 11 (1975), 403-417. MR 374574
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. 44 (1973), 537-570. MR 333371
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.: D. D. Siljak, Stability of large scale systems under structural perturbations, Proc. IEEE Trans, on Systems, Man and Cybernetics 3 (1972), 657-663. MR 316121
11.: D. D. Siljak, Large scale dynamic systems; stability and structure, North-Holland, Amsterdam, 1977. MR 595867
12.: D. D. Siljak and M. B. Vukecvie, Large scale systems: Stability complexity, reliability, J. Franklin Inst. 301 (1976), 49-69. MR 411771
13.: G. S. Ladde, Cellular systems-I, Stability of chemical systems-II, Stability of compartmental systems, Math. Biosciences 29 (1976), 309-330; 30 (1976), 1-21. MR 682070
14.: G. S. Ladde, Stability of model ecosystems with time-delay, J. Theoret. Biol. 61 (1976), 1-13. MR 414187
15.: G. S. Ladde and D. D. Siljak, Connective stability of large scale stochastic systems, Internat. J. Systems Sci. 6 (1975), 713-721. MR 456849
16.: G. S. Ladde, Stability of multispecies co-munity in ramdomly varying environment, J. Math. Biol. 2 (1975), 165-178. MR 398570
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:
Journal: Bull. Amer. Math. Soc. 84 (1978), 937-939.
DOI: 10.1090/S0002-9904-1978-14539-X
PII: S 0002-9904(1978)14539-X

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ISSN 1936-881X(e) ISSN 0002-9904(p)

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