References
- Alabau , F. and Komornik , V. 1999 . Boundary observability, controllability, and stabilization of linear elastodynamic systems . SIAM Journal on Control and Optimization , 37 : 521 – 542 .
- Banaszuk , A. , Kociécki , M. and Przyluski , K.M. 1990 . Implicit linear discrete-time systems . Mathematics of Control, Signals, and Systems , 3 : 271 – 297 .
- Barbu , V. 1993 . Analysis and Control of Nonlinear Infinite Dimensional Systems , New York : Academic Press .
- Barbu , V. 1994 . Mathematical Methods in Optimization of Differential Systems , Dordrecht : Kluwer Publishers .
- Elaydi , S. 1999 . Asymptotics for linear difference equations . Journal of Difference Equations and Applications , 5 : 563 – 589 .
- Elaydi , S. 2005 . An Introduction to Difference Equations, Undergraduate Texts in Mathematics , Springer Verlag .
- Gaishun , I.V. 2004 . Controllability and stabilizability of discrete systems in a function space on a commutative semigroup . Difference Equations , 40 : 873 – 882 .
- Hinrichsen , D. , Son , N.K. and Ngoc , P.H.A. 2003 . Stability radii of higher order positive difference systems . Systems & Control Letters , 49 : 377 – 388 .
- Hinrichsen , D. and Pritchard , A.J. 2005 . Mathematical Systems Theory I. Modelling, State Space Analysis, Stability and Robustness, Texts in Applied Mathematics 48 , Berlin : Springer-Verlag .
- Klamka , J. 2002 . Controllability of nonlinear discrete systems . International Journal of Applied Mathematics and Computer Science , 12 : 173 – 180 .
- Kocic , V.L. and Ladas , G. 1993 . Global Behavior of Nonlinear Difference Equations of Higher Order , Dordrecht : Kluwer Academic Publishers .
- Komornik , V. 1994 . Exact Controllability and Stabilization—The Multiplier Method , Paris : Masson .
- Komornik , V. 1999 . Boundary observability, controllability and stabilizability of linear distributed systems with a time reversible dynamics . Control Cybernet , 28 : 813 – 838 .
- Krabs , W. 2003 . On local fixed point controllability of nonlinear difference equations . Journal of Difference Equations and Applications , 9 : 827 – 832 .
- Lions , J.-L. 1988 . Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, Tome 1 , Paris : Masson .
- Megan , M. 1975 . On the stabilizability and controllability of linear dissipative systems in Hilbert spaces . Seminarul de Ecuţii Funcţionale, Universitatea din Timişoara , 32 : 1 – 15 .
- Megan , M. , Sasu , A.L. and Sasu , B. 2002 . Stabilizability and controllability of systems associated to linear skew-product semiflows . Revista Matematica Complutense , 15 : 599 – 618 .
- Megan , M. , Sasu , A.L. and Sasu , B. 2003 . Discrete admissibility and exponential dichotomy for evolution families . Journal of Discrete and Continuous Dynamical Systems , 9 : 383 – 397 .
- Przyluski , K.M. 1988 . On a theorem of Megan and Zabczyk . International Journal of Control , 48 : 2329 – 2332 .
- Sasu , B. and Sasu , A.L. 2004 . Stability and stabilizability for linear systems of difference equations . Journal of Difference Equations and Applications , 10 : 1085 – 1105 .
- Sasu , A.L. 2006 . New criteria for exponential stability of variational difference equations . Applied Mathematics Letters ,
- Sasu , B. and Sasu , A.L. 2006 . Exponential dichotomy and (ℓ p , ℓ q )-admissibility on the half-line . Journal of Mathematical Analysis and Applications , 316 : 397 – 408 .
- Polyak , B.T. 2004 . Extended superstability in control theory . Automatic Remote Control , 65 : 567 – 576 .
- Wirth , F. and Hinrichsen , D. 1994 . On stability radii of infinite dimensional time-varying discrete-time systems, IMA . Journal of Mathematical Control and Information , 11 : 253 – 276 .
- Ya , Z. , Tsypkin and Polyak , B.T. 1998 . Stability of linear difference equations with unmodelled higher order terms . Journal of Difference Equations and Applications , 3 : 539 – 546 .
- Zabczyk , J. 1976 . Complete stabilizability implies exact controllability . Seminarul de Ecuaţii Funcţionale, Universitatea din Timişoara , 38 : 1 – 10 .
- Zabczyk , J. 1995 . Mathematical Control Theory: An Introduction , Birkhäuser .