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**Extra resources for A ABS algorithm for solving singular nonlinear system with space transformation**

**Sample text**

But is equal to zero for all q > 0. )also belongs to the sector [O, 11. 37 Nonlinear Control of Feedforward Systems 1 s a { z E IWP : a+(-Kz) = O} E S 4{ z E or = { z E RP : I

E. J J’ 5 0). 51) is globally asymptotically stabilizable by dynamic output feedback, as illustrated in the following proposition. ) such that Assumptions (A2) and (C2) hold. Assume that the pair { J I 1H } is controllable and the pair { K ,J } is observable. 52) is globally asymptotically (locally exponentially) stable. e. 17) with H = Hr and R = 0, and the nonlinear feedback u = - a ( K z ) . Hence, G. Kaliora and A . 2. 36) with a quantized saturation function u4(s)(top graphs) and with a quantized control law with hysteresis (bottom graphs).

13. R. Lozano, B. Brogliato, 0. Egeland, and B. Maschke. Dissipative Systems Analysis and Control. Springer-Verlag, London, 2000. 14. R. Meyer. On the existence of Lyapunov functions for the problem of Lur'e. SIAM J . Control, 3(3), 1966. 15. P. C. Willems. Synthesis of state feedback control laws with a specified gain and phase margin. IEEE Trans. Automatic Control, 25:928931, 1980. 16. S. H. Taylor. Frequency Domain Criteria for Absolute Stability, Academic Press, New York, 1973. 17. V. Prasolov.