[2] M. J. Balas:
Active control of flexible systems. J. Optim. Theory Appl. 25 (1978), 3, 415.
MR 0508106 |
Zbl 0362.93008
[3] J. R. Birk R. B. Kelly: An overview of the basic research needed to advance the state of knowledge in robotics. IEEE Trans. Systems Man Cybernet. SMC-11 (1981), 574.
[4] N. N. Bogoliubov Y. A. Mitropolski: Asymptotic Methods in the Theory of Nonlinear Oscillations. Gordon and Breach, Industan Publ. Corp., New York Delhi 6, 1961.
[5] W. J. Book: Recursive Lagrangian dynamics of flexible manipulator arms. Internat. J. Robotic Res. 3 (1984), 3, 87.
[6] W. J. Book T. E. Alberts G. G. Hastings: Design strategies for high-speed lightweight robots. Computers in Mechanical Engineering (1986), 26.
[7] S. Cetinkunt W. J. Book: Symbolic modeling and dynamical simulation of robotic manipulators with compliant links and joints. Robotics and Computer -- Integгated Manufacturing 5 (1987), 4, 301 and In: Proc. 1987 IEEE Intern. Conf. on Robotics and Automation, Raleigh 1987, Vol. III, p. 2074.
[8] R. W. Clough J. Penzien: Dynamics of Structures. McGraw Hill, New York 1975.
[9] M. Cotsaftis:
On general theorems of stability. In: Internat. IUTAM Symp. on Instability in Continuous Systems, Herrenalb (E. Leipholtz ed.), Springer-Verlag, Berlin 1971, p. 204.
MR 0404832
[10] M. Cotsaftis: Introduction à l'Analyse des Systèmes Complexes. Lecture Notes, INSTN, 1988.
[11] M. Cotsaftis: Direct stability and control of deformable and compliant N-link гobotic systems. In: Proc. WAM ASME 1991, Vol. DSC-31, p. 39.
[12] M. Cotsaftis: Global control of N-link deformable mechanical systems. In: Proc. WAM ASME 1993, New Orleans 1993.
[13] N. Dunford J. T. Schwartz:
Linear Operators. Part II. Wiley, New York 1963.
MR 1009163
[14] G. G. Hastings J. F. Dorsey W. J. Book: Applications of balanced realizations to estimate model order requirements for flexible manipulatoгs. In: ASME Winter Annual Meeting, Boston 1987.
[15] E. J. Haug S. C. Wu S. S. Kim: Dynamics of flexible machines, a vaгiational approach. In: Dynamics of Multibody Systems (G. Bianchi, W. Schielen, eds.), Springer-Verlag, Berlin 1986, p. 55.
[16] P. C. Hugues:
Dynamics of a chain of flexible bodies. J. Astronaut. Sci. 24 (1979), 4, 359.
MR 0566466
[17] R. M. Jones: Mechanics of Composite Materials. Mc Graw Hill, New York 1975.
[18] H. Krisnan M. Vidyasagar: Control of a single link flexible beam using a Hankel-norm based reduced order model. In: Proc. IEEE Intern. Conf. on Robotics and Automation, Philadelphia 1988, Vol. I, p. 9.
[19] J. LaSalle S. Lefschetz:
Stability by Lyapunov Direct Method with Applications. Academic Press, New York 1961.
MR 0132876
[20] A. M. Letov: Stability of Nonlinear Control Systems. Moscow 1962.
[21] J. L. Lions:
Equations Différentielles Opérationnelles et Problèmes aux Limites. Springer-Verlag, Berlin 1961.
MR 0153974 |
Zbl 0098.31101
[22] K. H. Low M. Vidyasagar: A Lagrangian formulation of the dynamic model for flexible manipulator systems. J. Dynamic Systems Measurement Control 110 (1988), 175.
[23] D. C. McFarlaine K. Glover:
Robust Controller Design Using Normalized Coprime Factor Plant Description. (Lecture Notes in Control and Information Sciences 138) Springer-Verlag, Berlin 1990.
MR 1029524
[24] L. Meirovitch: Analytic Methods in Vibrations. McMillan, New York 1967.
[25] A. Midha A. G. Erdman D. A. Frohrib: Finite element approach to mathematical modelling of high speed elastic linkages. Mechanisms and Machine Theory 13 (1978), 603.
[26] N. Minorsky:
Theory of Nonlinear Control Systems. McGraw-Hill, New York 1969.
MR 0265016
[27] Y. A. Mitropolski:
Problémes de la Théorie Asymptotique des Oscillations Non Stationnaires. Gauthier-Villars, Paris 1966.
MR 0194678
[28] Y. Sakawa:
Feedback control of second order evolution equation with unbounded observation. Internat. J. Control 41 (1985), 3, 713.
MR 0791516
[29] A. Sharon: Enhancement of Robot Accuracy Using a Macro/Micro Manipulator System. S. M. Thesis, Mechanical Engineering Dept, MIT, Cambridge 1983.
[30] T. J. Tarn A. K. Bejczy X. Ding: On the modelling of flexible robot arms for control. In: Analysis and Control of Nonlinear Systems (C. I. Byrnes, C. F. Martin, R. E. Saeks, eds.), Elsevier Sci. Pub., Amsterdam 1988, p. 91.
[31] R. Temam:
Infinite Dimensional Dynamical System Dynamics in Mechanics and Physics. Springer-Verlag, New York 1988.
MR 0953967
[32] S. Timoshenko D. H. Young W. Weaver, Jr.: Vibration Problems in Engineering. Wiley, New York 1974.
[33] A. Truckenbrodt: Effects of elasticity on the performance of industrial robots. In: Proc. IASTED Internat. Symposium on Robotics, Davos 1981, p. 52.
[34] F. Turcic A. Midha: Generalized equations of motion for the dynamic analysis of elastic mechanism systems. ASME J. Dynamic Systems Measurement Control 106 (1984), 243.
[35] V. I. Utkin:
Sliding Modes in Control and Optimization. Springer-Verlag, New York 1992.
MR 1295845 |
Zbl 0748.93044
[36] R. C. Winfrey: Dynamics of Mechanisms with Elastic Links. Ph. D. Thesis, Univ. of California, Los Angeles 1969.