Stability analysis of continuous time planar systems with state saturation nonlinearity

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 45, Issue 9, 1998, Pages 989-993

  Mantri, Ravi ^a,b   Saberi, Ali ^a,b   Venkatasubramanian, Vaithianathan ^a,b  

^a Washington State University   (United States)

^b 3COM Corporation   (United States)

Author keywords

Nonlinear dynamics; Planar systems; Saturation nonlinearities; Stability theory

Indexed keywords

ASYMPTOTIC STABILITY; CONSTRAINT THEORY; CONTROL NONLINEARITIES; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; STATE SPACE METHODS;

CONTINUOUS TIME PLANAR SYSTEMS; STATE SATURATION NONLINEARITY;

SYSTEM STABILITY;

EID: 0032154754     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.721266     Document Type: Article

References (6)

1. D. Liu and A. Michel, Dynamical Systems with Saturation Nonlinearities. New York: Springer-Verlag, 1993.
2. V. Venkatasubramanian, X. Jiang, H. Schattler, and J. Zaborszky, "Current status of the taxonomy theory of large power system dynamics - DAE systems with hard limits," in Proc. NSF Int. Symp. Bulk Power Syst. Phenomena - Voltage Stability Security - III, Davos, Switzerland, Aug. 1994, pp. 15-103.
3. X. Jiang, H. Schättier, J. Zaborszky, and V. Venkatasubramanian, "Hardlimit induced oscillations," in Proc. IEEE Int. Symp. Circuits Syst., Seattle, WA, 1995, pp. 146-150.
4. R. Mantri, "Control and analysis problems for linear systems with saturation," Masters thesis dissertation, School Elec. Eng. Computer Sci., Washington State University, Pullman, WA, Aug. 1995.
5. R. Mantri, A. Saberi, and V. Venkatasubramanian, "Stability analysis of continuous time planar systems with state saturation nonlinearity," in Proc. IEEE Int. Symp. Circuits Syst., Atlanta, GA, May 1996, pp. III-60-III-63.
6. P. Liu and A. N. Michel, "Asymptotic stability of systems with saturation constraints," in Proc. IEEE Conf. Decision Contr., Dec. 1996, pp. 2624-2629.