New results on exponential estimate for 2‐D positive systems with delays
Sign Up to like & getrecommendations! Published in 2024 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.7468
Abstract: We present a new method to the problem of finding α$$ \alpha $$ ‐exponential state estimates for a class of 2‐D positive discrete‐time systems with bounded time‐delays. A less conservative sufficient condition for the α$$… read more here.
Keywords: results exponential; estimate positive; new results; exponential estimate ... See more keywords
$$\alpha $$α-Exponential Stability of Impulsive Fractional-Order Complex-Valued Neural Networks with Time Delays
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DOI: 10.1007/s11063-018-9938-x
Abstract: This paper investigates the global $$\alpha $$α-exponential stability of impulsive fractional-order complex-valued neural networks with time delays. By constructing proper Lyapunov–Krasovskii functional and employing fractional-order complex-valued differential inequality, some sufficient conditions are obtained to ensure… read more here.
Keywords: alpha exponential; order; order complex; complex valued ... See more keywords
Computation of zeros of the alpha exponential function
Sign Up to like & getrecommendations! Published in 2017 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542517060136
Abstract: This paper deals with the function F(α; z) of complex variable z defined by the expansion $$F\left( {\alpha ;z} \right) = \sum\nolimits_{k = 0}^\infty {\frac{{{z^k}}}{{{{\left( {k!} \right)}^\alpha }}}} $$F(α;z)=∑k=0∞zk(k!)α which is a natural generalization of… read more here.
Keywords: function; computation zeros; exponential function; alpha exponential ... See more keywords