30 citations · 51 across the 4 of their papers we have counts for
7 papers
Dissipativity, reciprocity and passive network synthesis: from Jan Willems' seminal Dissipative Dynamical Systems papers to the present day
Timothy H. Hughes, Edward H. Branford
The dissipativity concept sits at the intersection of physics, systems theory, and control engineering, as a natural generalisation of passive systems that dissipate energy. It rel…
On the internal signature and minimal electric network realizations of reciprocal behaviors
Timothy H. Hughes
In a recent paper, it was shown that (i) any reciprocal system with a proper transfer function possesses a signature-symmetric realization in which each state has either even or od…
Minimal series-parallel network realizations of bicubic impedances
Timothy H. Hughes
An important open problem in the synthesis of passive controllers is to obtain a passive network that realizes an arbitrary given impedance function and contains the least possible…
On reciprocal systems and controllability
Timothy H. Hughes
In this paper, we extend classical results on (i) signature symmetric realizations, and (ii) signature symmetric and passive realizations, to systems which need not be controllable…
On the optimal control of non-expansive or passive systems
Timothy H. Hughes
The positive-real and bounded-real lemmas solve two important linear-quadratic optimal control problems for passive and non-expansive systems, respectively. The lemmas assume contr…
Why RLC realizations of certain impedances need many more energy storage elements than expected
Timothy H. Hughes
It is a significant and longstanding puzzle that the resistor, inductor, capacitor (RLC) networks obtained by the established RLC realization procedures appear highly non-minimal f…