A Method for Verifying Sector Conditions in Nonlinear Discretetime Control Systems

IEEE Transactions on Automatic Control

Volumn 37, Issue 10, 1992, Pages 1505-1509

  Mutoh, Y ^a,b  

^a SOPHIA UNIVERSITY   (Japan)

^b UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; SYSTEM STABILITY;

BROKEN-LINE NONLINEARITY; DISCRETE FEEDBACK; NONLINEAR FEEDBACK; SECTOR NONLINEARITY;

NONLINEAR CONTROL SYSTEMS;

EID: 0026938141     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.256369     Document Type: Article

References (6)

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3. R. E. Kalman, Physical and mathematical mechanisms of instability in nonlinear automatic control systems,” Trans. ASME, vol. 79, no. 3, 553–556, 1957.
4. R. E. Fitts, “Two counterexamples to Aizerman's conjecture,” IEEE Trans. Automat. Contr., vol. AC-11, no. 3, pp. 553–556, 1966.
5. H. P. Horisberger and P. R. Belanger, “Regulators for linear time-invariant plant with uncertain parameters,” IEEE Trans. Automat. Contr., vol. AC-21, no. 5, pp. 705–708, 1976.
6. S. Boyd and Q. Yang, “Structured and simultaneous Lyapunov functions for system stability problems,” Int. J. Contr., vol. 49, no. 6, pp. 2215–2240, 1989.