Book Review

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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.

**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.**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****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:

Reviewer: V. Lakshmikantham

Journal: Bull. Amer. Math. Soc.

**84**(1978), 937-939

DOI: https://doi.org/10.1090/S0002-9904-1978-14539-X