Artstein, Zvi Stabilization with relaxed controls. (English) Zbl 0525.93053 Nonlinear Anal., Theory Methods Appl. 7, 1163-1173 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 186 Documents 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 Keywords:stabilization; continuous closed loop relaxed control; Lyapunov functions PDF BibTeX XML Cite \textit{Z. Artstein}, Nonlinear Anal., Theory Methods Appl. 7, 1163--1173 (1983; Zbl 0525.93053) Full Text: DOI 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 [4] Billingsley, P., Convergence of Probability Measures (1968), Wiley: Wiley New York · Zbl 0172.21201 [5] Hocking, J. G.; Young, G. S., Topology (1961), Addison-Wesley: Addison-Wesley Reading · Zbl 0135.22701 [6] Jacobson, D. H., Extensions of Linear Quadratic Control, Optimization and Matrix Theory (1977), Academic Press: 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: 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.