In this paper, we consider a MIMO networked control system with an energy harvesting sensor, where an unstable MIMO dynamic system is connected to a controller via a MIMO fading channel. We focus on the energy harvesting and MIMO precoding design at the sensor so as to stabilize the unstable MIMO dynamic plant subject to the energy availability constraint at the sensor. Using the Lyapunov optim...

In this paper we develop and demonstrate a Linear Parameter Varying (LPV) stabilisation technique. The method systematically obtains a controller of a gain-scheduling nature that exhibits a certain level of robustness and performance for the LPV system. We propose a global approach to simultaneously design a robust controller as well as devise a procedure which uses the solution to the controll...

In a prospective study, 41 consecutive patients with a partial tear of the anterior cruciate ligament, diagnosed by arthroscopy, were reviewed after an average of 17 months, having been in plaster for six weeks after injury. Their average age was 29 years and review included clinical examination, measurement of anterior and posterior laxity with the Stryker knee laxity tester as well as evaluat...

In making a design proposal, the designer is implicitly assuming some view of future events to which the design corresponds, yet the scenarios to which designers often respond are often too complex and difficult to define, so prediction is out of the question. Complex systems that appear unstable at one level of detail are often predictable at a higher order, and it is this that makes design po...

Previously, we constructed the transfinite Goodwillie spectral sequence (TGSS), whose signature is roughly E t,J(S ) = πtS ⇒ πtS. This spectral sequence computes unstable homotopy from stable data. Over the next couple of talks, we’ll discuss the differentials in this spectral sequence, but for today, let’s just focus on understanding the relationship between the E page and the E∞ page at a hig...

Unstable particles (Z , W and higgs bosons and top quark) are at the focus of current high energy physics research. However, a satisfactory theoretical formalism that would allow systematic calculations for the processes involving such particles at the high level of precision required, say, for LEP2 where the planned experimental precision warrants theoretical calculations at the twoloop level ...

In recent years we have grown increasingly accustomed to the great success of the Standard Model (SM) of electroweak interactions. However, up to now only a relatively restricted sector of the SM has been checked. The Yang–Mills character of the gauge-boson self-interactions and the Higgs mechanism of mass generation still await conclusive confirmation. This leaves ample of room for interesting...