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Stabilization with relaxed controls. (English) Zbl 0525.93053


MSC:

93D15 Stabilization of systems by feedback
93C10 Nonlinear systems in control theory
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
34A34 Nonlinear ordinary differential equations and systems
34D20 Stability of solutions to ordinary differential equations
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References:

[1] Aizerman, M. S.; Gantmacher, F. R., Absolute Stability of Regulator Systems (1964), Holden-Day: Holden-Day San Francisco, (English translation) · Zbl 0123.28401
[2] Barbashin, E. A., Introduction to the Theory of Stability (1970), Wolters-Noordhoff: Wolters-Noordhoff Groningen, (English translation) · Zbl 0198.19703
[3] Berkovitz, L. D., Optimal Control Theory (1974), Springer: Springer New York · Zbl 0295.49001
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[8] Sontag, E., Nonlinear regulation: The piecewise linear approach, IEEE Trans. on Automatic Control, AC-26, 346-358 (1981) · Zbl 0474.93039
[9] Sontag, E., A Lyapunov-like characterization of asymptotic controllability, SIAM J. Control Optim., 21, 462-471 (1983) · Zbl 0513.93047
[10] Sontag, E.; Sussmann, H., Remarks on continuous feedback, Proc. 19th IEEE Conf. on Decision and Control, 916-921 (1980)
[11] Sussmann, H., Subanalytic sets and feedback control, J. diff. Eqns, 31, 31-52 (1979) · Zbl 0407.93010
[12] Warga, J., Optimal Control of Differential and Functional Equations (1972), Academic Press: Academic Press New York · Zbl 0253.49001
[13] Zames, G.; Shneydor, N. A., Dither in nonlinear systems, IEEE Trans. on Automatic Control, AC-21, 660-667 (1976) · Zbl 0337.93009
[14] Zames, G.; Shneydor, N. A., Structural stabilization and quenching by dither in nonlinear systems, IEEE Trans. on Automatic Control, AC-22, 352-361 (1977) · Zbl 0356.93022
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