[en] This paper will investigate the distributed observer-based LQ controller design and stabilization problem for uncoupled identical linear time-invariant multi-agent systems with a performance index coupling the behavior between the multi-agents. A design method is proposed by applying the decomposition of the global discrete-time algebraic Riccati equations. A computationally tractable solution can be obtained by solving four local algebraic Riccati equations which have the same dimensions as a single agent. The stability condition is given in terms of the spectrum of two matrices representing the desired sparsity pattern of the distributed controller and distributed observer. A limited overall performance can also be guaranteed by the proposed distributed controller which is parameterized by two scalars. To illustrate the effectiveness of the algorithm, a numerical example is provided.

[en] Meminductor is a novel nonlinear inductor with memory. A meminductor-based chaotic oscillating circuit that has only two linear resistors, two linear capacitors and a meminductor, is designed based on a mathematical model of the flux-controlled meminductor to study its characteristics in nonlinear circuit. Through the analysis of bifurcations, dynamic map and Lyapunov exponents, it is found that the system can exhibit some complex characteristics, such as an infinite number of equilibrium points and burst chaos. Especially, bifurcation without parameters and coexisting attractors appear under a fixed set of parameter values but different initial conditions. Moreover, random characteristics of the PN sequences generated from the chaotic circuit are tested via the test suit of National Institute of Standards and Technology (NIST), and the tested randomness definitely reaches the standards of NIST. Finally, a scheme for digitally realising this oscillating circuit is provided using the digital signal processor (DSP). (author)