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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, general theory 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 San Francisco, (English translation) · Zbl 0123.28401 [2] Barbashin, E.A., Introduction to the theory of stability, (1970), Wolters-Noordhoff Groningen, (English translation) · Zbl 0198.19703 [3] Berkovitz, L.D., Optimal control theory, (1974), Springer New York · Zbl 0295.49001 [4] Billingsley, P., Convergence of probability measures, (1968), Wiley New York · Zbl 0172.21201 [5] Hocking, J.G.; Young, G.S., Topology, (1961), Addison-Wesley Reading · Zbl 0135.22701 [6] Jacobson, D.H., Extensions of linear quadratic control, optimization and matrix theory, (1977), Academic Press New York · Zbl 0359.90085 [7] Kurzweil, J., On the inversion of Lyapunov’s second theorem on stability of motion, Am. math. soc. transl., 24, 19-77, (1956), Ser. 2 [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 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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