In this paper, we deal with a special class of passive systems, which possess the
characteristic property of having no finite spectral zeros. We call these systems strongly …

The solutions to algebraic Riccati equation (ARE) have widespread applications in the area
of control and network theory. For certain solutions of the Riccati equation, namely so …

In this paper, we study the set of trajectories satisfying both a given LTI system's laws and
also laws of the corresponding 'adjoint'system: in other words, trajectories in the intersection …

In this paper, we bring out a link between storage functions of allpass systems and
observability/controllability Gramians. We show that under a particular transformation, the …

The Algebraic Riccati Equation (ARE) cannot be formulated for the conservative/lossless
and all-pass cases, though the notion of 'storage function'is well-defined for these cases too …

Abstract Algebraic Riccati Equation (ARE) solutions play an important role in many
optimal/suboptimal control problems. However, a key assumption in formulation and solution …

In this paper, we provide an algorithm to compute the solutions of the LMI arising from the
bounded-real lemma for a special class of bounded-real systems that do not admit algebraic …

In the case of dissipativity, the storage function is not unique, in general.(Note that
nonuniqueness of the storage function is not due to our choice of expressing the storage …