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In this paper, we consider the semi-global regulation of output synchronization problem for heterogeneous networks of invertible linear agents subject to actuator saturation. That is, we regulate the output of each agent according to an a priori specified reference model. The network communication infrastructure provides each agent with a linear combination of its own output relative to that of neighboring...
In this paper we consider the output synchronization problem for heterogeneous networks of linear agents. The network provides each agent with a linear combination of its own output relative to that of neighboring agents, and it allows the agents to exchange information about their own internal observer estimates. We design decentralized controllers based on setting the control input of a single root...
Simultaneous external and internal stabilization in global framework of linear time-invariant discrete-time systems subject to actuator saturation is considered. Internal stabilization is in the sense of Lyapunov while external stabilization is in the sense of ℓp stability with different variations, e.g. with or without finite gain, with fixed or arbitrary initial conditions, with or without bias...
The H∞ control problem has been solved recently with the use of discrete time algebraic Riccati equations. In this paper, we investigate this Riccati equation. We derive recursive methods to find the stabilizing solution of this Riccati equation. Moreover, we derive several properties of the class of positive semi-definite solutions of this equation.
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