Input-Output Stability

The Control Handbook: Second Edition

Volumn , Issue , 2018, Pages 44-1-44-23

  Teel, A R ^a   Georgiou, T T ^a   Praly, L ^b   Sontag, Eduardo D ^c  

^a UNIVERSITY OF MINNESOTA   (United States)

^b PARISTECH   (France)

^c RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85135648452     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (10)

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2. Jiang, Z.P., Teel, A.R., and Praly, L., Small-gain theorem for ISS systems and applications, Math. Control, Sign., Syst., 7(2), 95-120, 1995.
3. Mareels, I.M.Y. and Hill, D.J., Monotone stability of nonlinear feedback systems, J. Math. Syst., Est. Control, 2(3), 275-291, 1992.
4. McFarlane, D.C. and Glover, K., Robust Controller Design Using Normalized Coprime Factor Plant Descriptions, Lecture Notes in Control and Information Sciences, Springer-Verlag, vol. 138, 1989.
5. Popov, V.M., Absolute stability of nonlinear systems of automatic control, Auto. Remote Control, 22, 857-875, 1961.
6. Safonov, M., Stability and Robustness of Multivariable Feedback Systems, The MIT Press, Cambridge, MA, 1980.
7. Sandberg, I.W., On the Z-boundedness of solutions of nonlinear functional equations, BellSys. Tech. J., 43, 1581-1599, 1964.
8. Sontag, E., Smooth stabilization implies coprime factorization, IEEE Trans. Auto. Control, 34, 435-443, 1989.
9. Zames, G., On the input-output stability of time-varying nonlinear feedback systems, Part I: Conditions using concepts of loop gain, conicity, and positivity, IEEE Trans. Auto. Control, 11, 228-238, 1969.
10. Zames, G., On the input-output stability of time-varying nonlinear feedback systems, Part II: Conditions involving circles in the frequency plane and sector nonlinearities, IEEE Trans. Auto. Control, 11, 465-476, 1966.