In this paper,we consider system of variational inclusions and its several spacial cases,namely,alternating point problems,system of variational inequalities,etc.,in the setting of Hadamard manifolds.We propose an ite...In this paper,we consider system of variational inclusions and its several spacial cases,namely,alternating point problems,system of variational inequalities,etc.,in the setting of Hadamard manifolds.We propose an iterative algorithm for solving system of variational inclusions and study its convergence analysis.Several special cases of the proposed algorithm and convergence result are also presented.We present application to constraints minimization problems for bifunctions in the setting of Hadamard manifolds.At the end,we illustrate proposed algorithms and convergence analysis by a numerical example.The algorithms and convergence results of this paper either improve or extend known algorithms and convergence results from linear structure to Hadamard manifolds.展开更多
The purpose of this article is to investigate the second-order P-type iterative learning control(ILC)scheme in the presence of data loss for a class of linear discrete-time switched systems with disturbances.Employing...The purpose of this article is to investigate the second-order P-type iterative learning control(ILC)scheme in the presence of data loss for a class of linear discrete-time switched systems with disturbances.Employing the super-vector representation technique,the discrete-time linear switched system is reformulated as an input-output transmission equation.The robustness of the resulting switched system driven by a second-order P-type ILC scheme is guaranteed through the use of the super-vector representation technique.Importantly,the article also explores cases of data loss occurring during data transmission.The proposed methodology exhibits significantly improved convergence performance compared to the P-type ILC scheme(Yang et al.,2022,Robust finite-iteration tracking of discrete-time systems in repetitive process setting via ILC scheme.International Journal of Robust and Nonlinear Control,32(5),2585-2602.https://doi.org/10.1002/rnc.5782).Simulation examples are provided to demonstrate the effectiveness of the proposed scheme.展开更多
文摘In this paper,we consider system of variational inclusions and its several spacial cases,namely,alternating point problems,system of variational inequalities,etc.,in the setting of Hadamard manifolds.We propose an iterative algorithm for solving system of variational inclusions and study its convergence analysis.Several special cases of the proposed algorithm and convergence result are also presented.We present application to constraints minimization problems for bifunctions in the setting of Hadamard manifolds.At the end,we illustrate proposed algorithms and convergence analysis by a numerical example.The algorithms and convergence results of this paper either improve or extend known algorithms and convergence results from linear structure to Hadamard manifolds.
基金supported by University Grants Commission[19-06-2016(i)EU-V(434954)].
文摘The purpose of this article is to investigate the second-order P-type iterative learning control(ILC)scheme in the presence of data loss for a class of linear discrete-time switched systems with disturbances.Employing the super-vector representation technique,the discrete-time linear switched system is reformulated as an input-output transmission equation.The robustness of the resulting switched system driven by a second-order P-type ILC scheme is guaranteed through the use of the super-vector representation technique.Importantly,the article also explores cases of data loss occurring during data transmission.The proposed methodology exhibits significantly improved convergence performance compared to the P-type ILC scheme(Yang et al.,2022,Robust finite-iteration tracking of discrete-time systems in repetitive process setting via ILC scheme.International Journal of Robust and Nonlinear Control,32(5),2585-2602.https://doi.org/10.1002/rnc.5782).Simulation examples are provided to demonstrate the effectiveness of the proposed scheme.
