References |
Lyapunov, A.M., Investigation of a special case of the problem of the stability of motion (1956) Collected Papers, 2, pp. 272-331. , Lyapunov A.M. (Ed), Izd Akad Nauk SSSR, Moscow, Leningrad; Rumyantsev, V.V., The stability of motion with respect to a part of the variables (1957) Vestn Mosk Univ Ser Mat Mekh Astron Fiz Khim, 4, pp. 9-16; Corduneanu, S., Sur la stabilité partielle (1964) Rev Roum Math Pure Appl, 9 (3), pp. 229-236; Halanay, A., (1966) Differential Equations: Stability, Oscillations, Time Lags, , Academic Press, New York; Pieffer, K., Rouche, N., Liapounov's second method applied to partial stability (1969) J Mech, 8 (2), pp. 323-334; Rumyantsev, V.V., Oziraner, A.S., (1987) Stability and Stabilization of Motion with Respect to a Part of the Variables, , Nauka, Moscow; Savchenko, A.Ya., Ignat'yev, A.O., (1989) Some Stability Problems of Non-Autonomous Systems, , Naukova Dumka, Kiev; Hatvani, L., On the stability of the solutions of ordinary differential equations with mechanical applications (1990) Alkalm Mat Lap, 1-2, pp. 1-90; Andreyev, A.S., Investigation of partial asymptotic stability (1991) Prikl Mat Mekh, 55 (4), pp. 539-547; Vorotnikov, V.I., (1991) Stability of Dynamical Systems with Respect to a Part of the Variables, , Nauka, Moscow; Khapaev, M.M., (1993) Averaging in Stability Theory, , Kluwer, Dordrecht; Vorotnikov, V.I., (1998) Partial Stability and Control, , Birkhauser, Boston; Fradkov, A.L., Miroshnik, I.V., Nikiforov, V.O., (1999) Nonlinear and Adaptive Control of Complex Systems, , Kluwer, Dordrecht; Vorotnikov, V.I., Problems of stability with respect to a part of the variables (1999) Prikl Mat Mekh, 63 (5), pp. 736-745; Vorotnikov, V.I., Rumyantsev, V.V., (2001) Stability and Control with Respect to a Part of the Coordinates of the Phase Vector of Dynamical Systems: Theory, Methods and Applications, , Nauch Mir, Moscow; Chellaboina, V., Haddad, W.M., A unification between partial stability and stability theory for time-varying systems (2002) IEEE Control Syst Magazine, 22 (6), pp. 66-75. , (Erratum. IEEE Control Syst Magazine 2003;23(1):103); Michel, A.N., Molchanov, A.P., Sun, Y., Partial stability and boundedness of general dynamical systems on metric spaces (2003) Nonlinear Anal TMA, 52 (4), pp. 1295-1316; Jian, J.G., Liao, X.X., Partial exponential stability of nonlinear time-varying large-scale systems (2004) Nonlinear Anal TMA, 59 (5), pp. 789-800; Zuyev, A.L., Partial asymptotic stability of abstract differential equations (2006) Ukr Mat Zh, 58 (1), pp. 629-637; Vorotnikov, V.I., Partial stability and control: state of the problem and prospects for development (2006) Avtomat Telemekh, 4, pp. 3-59; Sontag, E.D., Wang, Y., Output-to-state stability and detectability of nonlinear systems (1997) Syst Control Lett, 29 (4-5), pp. 279-290; Sontag, E.D., (1998) Mathematical Control Theory; Deterministic Finite Dimensional Systems, , Springer, New York; Sontag, E.D., Input to state stability: Basic concepts and results (2006) Nonlinear and Optimal Control Theory, , Springer, Berlin; Shiriaev, A.S., Fradkov, A.L., Stabilization of invariant sets for nonlinear non-affine systems (2000) Automatica, 36 (11), pp. 163-220; Shiriaev, A.S., The notion of V-detectability and stabilization of invariant sets of nonlinear systems (2000) Syst Control Lett, 39 (5), pp. 327-338; Ingalls, B.P., Sontag, E.D., Wang, Y., Measurement to error stability: a notion of partial detectability for nonlinear systems (2002) Proceedings of the 2002 IEEE Conference on Decision and Control, Las Vegas, Nevada, pp. 3946-3951; Yefimov, D.V., (2005) Robust and Adaptive Control of Nonlinear Oscillations, , Nauka, St. Petersburg; Barbashin, Ye.A., Tabuyeva, V.A., (1969) Dynamical Systems with a Cylindrical Phase Space, , Nauka, Moscow; Oziraner, A.S., A Malkin-Masser theorem (1979) Prikl Mat Mekh, 43 (6), pp. 975-979; Hacker, T., Stability of partially controlled motion of an aircraft (1961) J Aerospace Sci, 28 (1), pp. 15-26; Abramov, S.A., Bronshtein, M., Solution of linear differential and difference systems with respect to a part of the unknowns (2006) Zh Vichisl Mat Mat Fiz, 46 (2), pp. 229-241; Bronstein, M., Computer algebra algorithms for linear ordinary differential and difference equations (2001) Prog Math, 202, pp. 105-119; van der Put, M., Singer, M.F., (2003) Galois Theory of Linear Differential Equations, , Springer, Heidelberg |