We address the agreement-based coordination of first-order multi-agent systems interconnected over arbitrary connected undirected graphs and under transient steady-state constraints. The system is in a leader-follower configuration where only part agents, leaders, are directly controlled via an external control input, addition to agreement protocol. propose law for based on gradient potential f...

We propose a novel Lyapunov construction for continuous-time switched systems relying on graph theoretical construction. Starting with finite family of continuously differentiable functions, suitable inequalities involving these functions and the vector fields defining system are encoded in direct labeled graph. then provide sufficient conditions (asymptotic) stability subject to constrained sw...

in this paper, a new method is investigated for model order reduction of high order systems based on moment matching technique. in this method, at first, full order model is expanded by legendre wavelet function which is included in orthogonal functions. a suitable fixed structure model is considered as reduced order model whose parameters are unknown. these unknown parameters are determined us...