论文信息 - L_{infty} -and l_{infty} -stability of interconnected systems

L_{infty} -and l_{infty} -stability of interconnected systems

Sufficient conditions for the L_{\infty} - and l_{\infty} -boundedness of nonlinear interconnected systems are established. Systems which may be viewed as an interconnection of single-loop feedback systems are considered. Overall boundedness conditions are phrased in terms of the margins by which each subsystem satisfies a certain boundedness condition. The existence of similar results for the L_{\infty}- and l_{\infty} -continulty of nonlinear interconnected systems is noted.

A. Michel | E. Lasley | A. Michel | E. Lasley

[1] I. W. Sandberg,et al. On the L 2 -boundedness of solutions of nonlinear functional equations , 1964 .

[2] D. Porter,et al. Input-output stability of time-varying nonlinear multiloop feedback systems , 1974 .

[3] I. Sandberg. Some results on the theory of physical systems governed by nonlinear functional equations , 1965 .

[4] C. Desoer,et al. Lp -Stability (1 ≤ p ≤ ∞) of multivariable non-linear time-varying feedback systems that are open-loop unstable† , 1974 .

[5] G. Zames. On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity , 1966 .

[6] A. Michel,et al. Input-output stability of interconnected systems , 1976 .

[7] P. A. Cook. ON THE STABILITY OF INTERCONNECTED SYSTEMS , 1974 .

[8] M. Fiedler,et al. On matrices with non-positive off-diagonal elements and positive principal minors , 1962 .

[9] A. Ostrowski. Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen , 1956 .