Contraction Mapping-Based Robust Convergence of Iterative Learning Control With Uncertain, Locally Lipschitz Nonlinearity
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2017.2780131
Abstract: This paper studies the output tracking control problems for multiple-input, multiple-output (MIMO) locally Lipschitz nonlinear (LLNL) systems subject to iterative operation and uncertain, iteration-varying external disturbances and initial conditions. Under the assumption of a linear,… read more here.
Keywords: convergence; learning control; contraction mapping; iterative learning ... See more keywords
Fixed point theorems for generalized weak contraction mapping in generating space of b-dislocated metric spaces
Sign Up to like & getrecommendations! Published in 2020 at "Asian-european Journal of Mathematics"
DOI: 10.1142/s1793557121501205
Abstract: In this paper, the concept of generalized weak contraction mapping in the setting of generating space of b-dislocated metric space endowed with partial order is introduced and some fixed-point theo... read more here.
Keywords: generating space; contraction mapping; space; space dislocated ... See more keywords
LMI-based robust exponential stability criterion of impulsive integro-differential equations with uncertain parameters via contraction mapping theory
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Difference Equations"
DOI: 10.1186/s13662-016-1059-0
Abstract: By formulating a new contraction mapping on a product space, the authors originally employed Banach fixed point theorem to derive the LMI-based robust exponential stability criterion for impulsive BAM neural networks with distributed delays and… read more here.
Keywords: contraction mapping; criterion; based robust; lmi based ... See more keywords