Download e-book for kindle: Analysis, Controllability and Optimization of Time-Discrete by Prof. Dr. Werner Krabs, Dr. Stefan Wolfgang Pickl (auth.),

Ilxll JR by ,x E JRk , k L ICi(X)1 , x E JRk . i =1 Then it follows that k V(Ax) = IIAxl1= L IAil Jei(X)I ~ V( x) 2: 0 ~ L ICi(X)1= Ilxll = V (x) , x E JRk . = 1 i= 1 Hence V(Ax) - V( x) G = JRk . Further we have k 0 for all x for all x E E G and V is a Lyapunov function on G and (V (x ) = 0 {=? x =8k) . 3 therefore implies t hat {8 d is a stable fixed poin t of f.

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Analysis, Controllability and Optimization of Time-Discrete Systems and Dynamical Games by Prof. Dr. Werner Krabs, Dr. Stefan Wolfgang Pickl (auth.), M. Beckmann, H. P. Künzi, Prof. Dr. G. Fandel, Prof. Dr. W. Trockel, C. D. Aliprantis, A. Basile, A. Drexl, G. Feichtinger, W. Güth, K. Inderfurth, P. Korhonen, W. Kürsten, U. Schittko, R. Selten,


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