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5 papers · 2 filters
Critical Connectivity and Fastest Convergence Rates of Distributed Consensus with Switching Topologies and Additive Noises
Ge Chen, Le Yi Wang, Chen Chen +1
Consensus conditions and convergence speeds are crucial for distributed consensus algorithms of networked systems. Based on a basic first-order average-consensus protocol with time…
Error Bounds for Parametric Polynomial Systems with Applications to Higher-Order Stability Analysis and Convergence Rates
G. Li, B. S. Mordukhovich, T. T. A. Nghia +1
The paper addresses parametric inequality systems described by polynomial functions in finite dimensions, where state-dependent infinite parameter sets are given by finitely many p…
Higher-Order Metric Subregularity and Its Applications
Boris Mordukhovich, Wei Ouyang
This paper is devoted to the study of metric subregularity and strong subregularity of any positive order for set-valued mappings in finite and infinite dimensions. While these…
Second-order analysis of piecewise linear functions with applications to optimization and stability
Boris S. Mordukhovich, M. Ebrahim Sarabi
This paper is devoted to second-order variational analysis of a rather broad class of extended-real-valued piecewise liner functions and their applications to various issues of opt…
Coderivative characterizations of maximal monotonicity for set-valued mappings
N. H. Chieu, G. M. Lee, B. S. Mordukhovich +1
This paper concerns generalized differential characterizations of maximal monotone set-valued mappings. Using advanced tools of variational analysis, we establish coderivative crit…