| References |
Lyapunov, A.M., Analysis of the singular cases of the problem of motion stability (1893) Coll. Works, 2, pp. 272-331. , Moscow-Leningrad: Izd. Akad. Nauk SSSR, [in Russian]; Rumyantsev, V.V., On partial stability of motion (1957) Vest. MGU., (4), pp. 9-16. , [in Russian]; Rumyantsev, V.V., Oziraner, A.S., (1987) Partial Stability and Stabilization of Motion, 256p. , Moscow: Nauka, [in Russian]; Andreev, A.S., An investigation of partial asymptotic stability (1991) J. Appl. Math. Mech., 55 (4), pp. 429-435; Hatvani, L., On the stability of the solutions of ordinary differential equations with mechanical applications (1991) Alkalmaz. Mat. Lapok, 15 (1-2), pp. 1-90; Vorotnikov, V.I., Stability and stabilization of motion: Research approaches, results, distinctive characteristics (1993) Autom. Remote Contr., 54 (3), pp. 339-397; Vorotnikov, V.I., (1998) Partial Stability and Control, 442p. , Boston e.t. c.: Birkhauser; Vorotnikov, V.I., Problems of stability with respect to part of the variables (1999) J. Appl. Math. Mech., 63 (5), pp. 736-745; Fradkov, A.L., Miroshnik, I.V., Nikiforov, V.O., (1999) Nonlinear and Adaptive Control of Complex Systems, 528p. , Dordrecht: Kluwer Acad. Publ; Vorotnikov, V.I., Rumyantsev, V.V., (2001) Stability and Control with Respect to the Part of the Phase Coordinates: Theory, Methods and Applications, 320p. , Moscow: Scientific World, [in Russian]; Chellaboina, V., Haddad, W.M., A unification between partial stability and stability theory for time - Varying systems (2002) IEEE Contr. Syst. Magazine, 22 (6), pp. 66-75; Miroshnik, I.V., Partial stability and geometric problems of nonlinear dynamics (2002) Autom. Remote Contr., 63 (11), pp. 1730-1744; Michel, A.N., Molchanov, A.P., Sun, Y., Partial stability and boudedness of general dynamical systems on metric spaces (2003) Nonlinear Analysis: TMA, 52 (4), pp. 1295-1316; Lakshmikantham, V., Liu, X.Z., (1993) Stability Analysis in Terms of Two Measures, 402p. , Singapore: World Scientific; Martynyuk, A.A., (1998) Stability by Liapunov's Matrix Function Method with Applications, 276p. , New York: Marcel Dekker; Sontag, E.D., Wang, Y., A notion of input to output stability (1997) Proc. European Control Conf. Brussels, 6p. , Paper WE-E-A2; Sontag, E.D., Wang, Y., Notions of input to output stability (1999) Systems & Control Letters, 38 (4-5), pp. 235-248; Sontag, E.D., Wang, Y., Lyapunov characterizations of input to output stability (2001) SIAM J. Control and Optim, 39 (1), pp. 226-249; Corduneanu, C., Sur la stabilite partielle (1964) Revue Roumaine de Math. Pure et. Appl., 9 (3), pp. 229-236; Peiffer, K., Rouche, N., Liapounov's second method applied to partial stability (1969) J.mecanique, 8 (2), pp. 323-334; Khapaev, M.M., (1993) Averaging in Stability Theory, 296p. , Dordrecht: Kluwer Acad. Publ; Vorotnikov, V.I., Two classes of partial stability problems: Unification of the notions and common conditions of solvability (2002) Physics Doklady, 47 (5), pp. 377-381; Vorotnikov, V.I., Partial equilibrium positions of nonlinear dynamic systems: Their stability and stability with respect to same of variables (2003) Physics Doklady, 48 (3), pp. 151-155 |