An approach to the analysis of observability and controllability in nonlinear systems via linear methods

Albertini, F. and D’Alessandro, D. (2002). Observability and forwardbackward observability of discrete-time nonlinear systems, Mathematics of Control, Signal and Systems 15(3): 275-290.10.1007/s004980200011Search in Google Scholar

Guermah, S., Djennoune, S. and Bettayeb, M. (2008). Controllability and observability of linear discrete-time fractionalorder systems, International Journal of Applied Mathematics and Computer Science 18(2): 213-222, DOI: 10.2478/v10006-008-0019-6.10.2478/v10006-008-0019-6Search in Google Scholar

Herman, R. and Krener, A. (1977). Nonlinear controllability and observability, IEEE Transactions on Automatic Control AC-22(5): 728-740.10.1109/TAC.1977.1101601Search in Google Scholar

Isidori, A. (1989). Nonlinear Control Systems, Springer, London.10.1007/978-3-662-02581-9Search in Google Scholar

Jakubczyk, B. and Sontag, E. (1990). Controllability of nonlinear discrete-time systems: A lie-algebraic approach, SIAM Journal Control and Optimization 28(1): 1-33.10.1137/0328001Search in Google Scholar

Jank, G. (2002). Controllability, observability and optimal control of continuous-time 2-D systems, International Journal of Applied Mathematic and Computer Science 12(2): 181-195.Search in Google Scholar

Kalman, R., Falb, P. and Arbib, M. (1969). Topics in Mathematical System Theory, Mc Graw-Hill Company, New York, NY.Search in Google Scholar

Kang, W. (2010). Analyzing control systems by using dynamic optimization, 8th IFAC Symposium on Nonlinear Control Systems, Bologna, Italy.10.3182/20100901-3-IT-2016.00110Search in Google Scholar

Kang, W. and Xu, L. (2009). A quantitative measure of observability and controllability, 48th IEEE Conference on Decision and Control, Shanghai, China, pp. 6413-6418.Search in Google Scholar

Kawano, Y. and Ohtsuka, T. (2010). Global observability of discrete-time polynomial systems, 8th IFAC Symposium on Nonlinear Control Systems, Bologna, Italy, pp. 646-651.Search in Google Scholar

Klamka, J. (1973). Uncontrollability and unobservability of composite systems, IEEE Transactions on Automatic Control AC-18(5): 539-540.10.1109/TAC.1973.1100383Search in Google Scholar

Klamka, J. (1975). On the global controllability of perturbed nonlinear systems, IEEE Transactions on Automatic Control AC-20(1): 170-172.10.1109/TAC.1975.1100870Search in Google Scholar

Klamka, J. (2002). Controllability of nonlinear discrete systems, American Control Conference, Anchorage, AK, USA, pp. 4670-4671.Search in Google Scholar

Koplon, R. and Sontag, E. (1993). Linear systems with signobservations, SIAM Journal Control and Optimization 31(12): 1245-1266.10.1137/0331059Search in Google Scholar

Kotta, U. and Schlacher, K. (2008). Possible non-integrability of observable space for discrete-time nonlinear control systems, 17th IFAC World Congress, Seoul, Korea, pp. 9852-9856.Search in Google Scholar

Krener, A. and Ide, K. (2009). Measures of unobservability, 48th IEEE Conference on Decision and Control, Shanghai, China, pp. 6401-6406.Search in Google Scholar

Kwakernaak, H. and Sivan, R. (1972). Linear Optimal Control Systems, A Division of John Sons, Inc., New York, NY. Search in Google Scholar

Mincheko, L. and Sirotko, S. (2002). Controllability of non-smooth discrete systems with delay, Optimization 51(1): 161-174.10.1080/02331930211981Search in Google Scholar

Murphey, T. and Burdick, J. (2002). Nonsmooth controllability theory and an example, 41st IEEE Conference on Decision and Control, Shanghai, China, pp. 370-376.Search in Google Scholar

Nijmeijer, H. (1982). Observability of autonomous discrete-time nonlinear systems: A geometric approach, International Journal of Control 36(6): 867-874.10.1080/00207178208932936Search in Google Scholar

Sontag, E. (1979). On the observability of polynomial systems, I: Finite-time problems, SIAM Journal of Control and Optimization 17(1): 139-151.10.1137/0317011Search in Google Scholar

Sussmann, H. (1979). Single-input observability of continuoustime systems, Mathematical Systems Theory 12(3): 371-393.10.1007/BF01776584Search in Google Scholar

van der Schaft, A.J. (1982). Observability and controllability for smooth nonlinear systems, SIAM Journal of Control and Optimization 20(3): 338-354.10.1137/0320026Search in Google Scholar

Wohnam, M. (1985). Linear Multivariable Control, Springer-Verlag, New York, NY.10.1007/978-1-4612-1082-5Search in Google Scholar

Zhirabok, A. (1998a). Controllability of nonlinear discrete dynamic systems, NOLCOS’98 Symposium, Enschede, The Netherlands, pp. 281-283.Search in Google Scholar

Zhirabok, A. (1998b). Observability and controllability properties of nonlinear dynamic systems, International Journal of Computer and Systems Sciences 37(1): 1-4.Search in Google Scholar

Zhirabok, A. (2010). Analysis of observability and controllability of nonlinear dynamic systems by linear methods, International Journal of Computer and Systems Sciences 49(1): 8-15.10.1134/S1064230710010028Search in Google Scholar

Zhirabok, A. and Shumsky, A. (2008). The Algebraic Methods for Analysis of Nonlinear Dynamic Systems, Dalnauka, Vladivostok, (in Russian).Search in Google Scholar

Zhirabok, A. and Shumsky, A. (2010). Linear methods in observability and controllability of nonlinear systems, 8th IFAC Symposium on Nonlinear Systems, Bologna, Italy, pp. 308-313.Search in Google Scholar

Zhirabok, A. and Usoltsev, S. (2002). Fault diagnosis for nonlinear dynamic systems via linear methods, 15th IFAC World Congress, Barcelona, Spain.Search in Google Scholar