Local Controllability of Fractional Discrete-Time Semilinear Systems

• Autorzy: Klamka J.
• Języki publikacji: EN

Abstrakty

EN

In the paper unconstrained local controllability problem of finite-dimensional fractional discrete-time semilinear systems with constant coefficients is addressed. Using general formula of solution of difference state equation sufficient condition for local unconstrained controllability in a given number of steps is formulated and proved. Simple illustrative example is also presented.

Słowa kluczowe

EN

discrete-time systems; controllability

PL

sterowanie; możliwość kontroli

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2011
• Tom: Vol. 5, no. 2
• Strony: 55--58
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Klamka J.

• Silesian University of Technology, Gliwice,

Bibliografia

• 1. Kaczorek T. (2007), Reachability and controllability to zero of positive fractional discrete-time systems, Machine Intelligence and Robotic Control, Vol. 6, No. 4, 356-365.
• 2. Kaczorek T. (2007), Rechability and controllability to zero of cone fractional linear systems, Archives of Control Sciences. Vol. 17, No. 3, 357-367.
• 3. Kaczorek T. (2009), Selected Problems of Fractional Systems Theory, Publishing Department of Białystok University of Technology, Białystok (in Polish).
• 4. Klamka J. (1991), Controllability of Dynamical Systems, Kluwer Academic Publishers, Dordrecht.
• 5. Klamka J. (1995), Constrained controllability of nonlinear systems, IMA Journal of Mathematical Control and Information, Vol. 12, 245-252.
• 6. Klamka J. (2002), Controllability of nonlinear discrete systems. International Journal of Applied Mathematics and Computer Science. Vol. 12, No. 2, 173-180.
• 7. Klamka J. (2008), Controllability of fractional discrete-time systems with delay, Zeszyty Naukowe Politechniki Śląskiej. Seria: Automatyka, zeszyt 151, 67-72.
• 8. Robinson S. M. (1986), Stability theory for systems of inequalities. Part II: differentiable nonlinear systems, SIAM Journal on Numerical Analysis, Vol. 13, 1261-1275.