We propose decentralized primal-dual methods for cooperative multiagent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific convex functions conic constraint sets defined by nonlinear functions; hence, optimal decision should lie in intersection these private...

The rational cubic function with three parameters has been extended to rational bi-cubic function to visualize the shape of regular convex surface data. The rational bi-cubic function involves six parameters in each rectangular patch. Data dependent constraints are derived on four of these parameters to visualize the shape of convex surface data while other two are free to refine the shape of s...

making use of an extended fractional differintegral operator ( introduced recently by patel and mishra), we introduce a new subclass of multivalent analytic functions and investigate certain interesting properties of this subclass.

We consider computation of optimal distributed controllers with constraints on states and inputs. The problem of distributed control arises in several large-scale systems, such as transportation and power grid systems. Well-established results highlight the non-convexity of the corresponding optimization problem for many cases of interest. In particular, convex computation of structured control...