——We consider a network of identical agents with arbitrary linear time-invariant (LTI) dynamics such that the network reaches consensus asymptotically. Uniform time delay is taken into account in the communication channels. The goal of this paper is to maximize the delay (so-called delay margin) that the system can tolerate before becoming unstable by implementing a low-order controller to a si...

We present exact expressions for the Sagnac effect of Gödel’s Universe. For this purpose we first derive a formula for the Sagnac time delay along a circular path in the presence of an arbitrary stationary metric in cylindrical coordinates. We then apply this result to Gödel’s metric for two different experimental situations: First, the light source and the detector are at rest relative to the ...

This article introduces a novel distributed controller approach for networked control systems (NCS) to achieve finite gain L2 stability independent of constant time delay. The distributed controller is alternatively interpreted as a linear transformation of the inputoutput space of the controller and the plant, and in fact represents a generalization of the well-known scattering transformation....

Robustness is established for the predictor feedback for linear time-invariant systems with respect to possibly time-varying perturbations of the input delay, with a constant nominal delay. The prior results have addressed qualitatively constant delay perturbations (robustness of stability in L2 norm of actuator state) and delay perturbations with restricted rate of change (robustness of stabil...

We clarify, for discrete time systems, two notions of a system with time variant delay, and explore their structural properties. The ultimate purpose is to shed some light on the potential ill-posedness associated with problems with rapidly increasing delay (delay increment greater than one system update step). The main approach is to consider the time delay system using an extension of the sta...

In this paper we introduce a new control strategy for linear time invariant (LTI) systems with a single time delay. The delay appears within the feedback control logic. Earlier research on this class of systems determines the delay intervals for stable operations, exhaustively, exactly and completely. The newly developed inverting control logic suggests a very practical procedure of reversing t...

—— In this paper a distributed control approach aiming at delay-independent stability of networked (Q,S,R)dissipative systems is proposed. The key idea is to exploit the available computational power in the plant side to locally implement a static-output-feedback-input-feedforward controller. This controller can be interpreted as an invertible transformation of arbitrary dissipativity propertie...

a common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the weierstrass canonical form. the weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. the present ...

This paper deals with the exponential stability analysis of decentralized, sampled-data, Linear Time Invariant (LTI) control systems asynchronous sensors and actuators. We consider case where each controller in decentralized setting has its own sampling actuation frequency, which translates to asynchrony between Additionally, may be induced by delays instants update as relevant a networked cont...

In this article, we design a nonlinear observer for second-order linear time-invariant (LTI) systems in the observable form with measurement delay. The guarantees convergence of error state to origin within finite-time that depends on initial conditions. To accomplish this, reformulate original system into cascade ODE–PDE where PDE part is transport equation models effect delay output. We const...