Matrix-valued Lyapunov function for an extended dynamic system

International Applied Mechanics

Volumn 37, Issue 8, 2001, Pages 1083-1088

  Martynyuk, A A ^a   Slyn'ko, V I ^a  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035429575     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013082806633     Document Type: Article

References (11)

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2. 2. E. A. Barbashin, Lyapunov Functions [in Russian], Nauka, Moscow (1970).
3. 3. P. Lancaster, Theory of Matrices, New York-London (1969).
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6. 6. Yu. A. Martynyuk-Chernienko, "Application of the canonical Lyapunov function in the theory of stability of uncertain systems," Int. Appl. Mech., 36, No. 8, 1112-1118 (2000).
7. 7. M. Z. Djordjevic, "Stability analysis of interconnected systems with possibly unstable subsystems," Syst. Contr. Let., 3, 165-169 (1983).
8. 8. M. Ikeda and D. D. Siljak, "Generalized decomposition of dynamic systems and vector Lyapunov functions," IEEE Trans., Autom. Control, AC-26, No. 5, 1118-1125 (1981).
9. 9. W. Hahn, Stability of Motion, Springer-Verlag, Berlin (1967).
10. 10. A.A. Martynyuk, Stability by Lyapunov's Matrix Functions Method with Applications, Marcel Dekker, New York (1998).
11. 11. D. D. Siljak, Decentralized Control of Complex Systems, Academic Press, Boston (1991).