REFERENCES
[1] P. S. Zhdanov, Stability of Eletric Systems, SEP, Moscow–Leningrad, 1948.
[2] J. L. Willems, J. C. Willems, The application of Lyapunov methods to the computation
of transient stability regions for multimachine power systems, IEEE Transactions on Power
Apparatus and Systems 89 (1970), 795–801.
[3] M. Ribbens-Pavella, J. L. Horward, Practical considerations on the transient stability power
system studies by Lyapunov’s direct method, Revue E 7 (1973), 167–179.
[4] D. D. Siljak, Large-Scale Dinamic Systems: Stability and Structure, New York: North Holland,
1978, 416 p.
[5] Lj. T. Grujic, A. A. Martynyuk, M. Ribbens-Pavella, Large Scale Systems Stability under
Structural and Singular Perturbations, Springer-Verlag, Berlin, 1987.
[6] A. A. Martynyuk, Qualitative Methods in Nonlinear Dynamics. Novel Approaches to Liapunov’s
Matrix Function, Marcel Dekker, Inc., New York, 2002.
[7] H. Jia, X. Yu, Y. Yu, C. Wang, Power System Small Signal Stability Region with Time Delay,
International Journal of Electrical Power & Energy Systems 30 (2008), 16–22.
[8] S. Ayasun, Computation of time delay margin for power system small-signal stability, European
Transactions on Electrical Power 19 (2009), 949–968.
[9] A. A. Martynyuk, I. L. Ivanov, On a Connective Stability of Three-Machine Power System
under Impulsive Perturbations, Reports NAS of Ukraine (2013), 64–71.
[10] V. I. Slyn’ko, Stability Conditions for Linear Impulsive Systems with Delay, International
Applied Mechanics 41 (2005), 697–703.
[11] V. Lakshmikantam, D. D. Bainov, P. S. Simeonov, Theory of Impulsive Differential Equations,
Vol. 6, World Scientific, Singapore, 1989.
[12] I. I. Dikin, L. V. Shelkunova, V. P. Skibenko, N. I. Voropai, A New Approach to Construction
of Optimal Stability Regions of Electric Power Systems on the Base of Quadratic Lyapunov
Functions, Irkutsk Energy Systems Inst. Russ. Acad. of Sciences, Irkutsk, 1999.
[13] C.-W. Liu, J. Thorp, A Novel Method to Compute the Closest Unstable Equilibrium Point for
Transient Stability Region Estimate in Power Systems, IEEE Transactions on Circuits and
Systems, Part I, Fundamental Theory and Applications 44 (1997), 630–635.