Some notes on the time-variant Lyapunov theory

European Journal of Operational Research

Volumn 89, Issue 3, 1996, Pages 668-670

  Molnar S ^a   Szidarovszky, F ^b  

^a Systemexpert Consulting Ltd   (Hungary)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

Discrete systems; Lyapunov stability; Systems dynamics

Indexed keywords

ASYMPTOTIC STABILITY; DISCRETE TIME CONTROL SYSTEMS; DYNAMICS; NONLINEAR CONTROL SYSTEMS; STATE SPACE METHODS; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS; VECTORS;

SYSTEMS DYNAMICS; TIME VARIANT LYAPUNOV THEORY; TIME VARIANT NONLINEAR DISCRETE SYSTEM;

LYAPUNOV METHODS;

EID: 0043130517     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-2217(94)00306-8     Document Type: Article

References (7)

1. Argyros, I.K., and Szidarovszky, F. (1993), The Theory and Applications of Iteration Methods, CRC Press, Boca Raton, FL.
2. Hartman, P. (1982), Ordinary Differential Equations, Birkhauser-Verlag, Basel.
3. Kalman, R.E., and Bertram, J.E. (1960). "Control system analysis and design via the 'second method' of Lyapunov, II. Discrete-time systems", Transactions of the ASME. Journal of Basic Engineering, June, 394-400.
4. Polak, E. (1971), Computational Methods in Optimization: A Unified Approach, Academic Press, New York.
5. Szidarovszky, F. (1990), "On the convergence of nonstationary algorithms modeled by point-to-set maps", Applied Mathematics and Computations 39/2, 107-110.
6. Szidarovszky, F., and Bahill, A.T. (1992), Linear Systems Theory, CRC Press, Boca Raton, FL.
7. Zangwill, W.I. (1969), Nonlinear Programming: A Unified Approach, Prentice-Hall, Englewood Cliffs, NJ.