We design an observer-protocol pair to asymptotically reconstruct the states of a linear time-invariant (LTI) plant under communication constraints induced by the network. We parameterize a class of observers and protocols, and for a given network transmission interval, we derive sufficient conditions in terms of matrix inequalities for the existence of an observer-protocol pair in the consider...

Two well-known disturbance decoupling problems are considered. A checkable necessary and su cient condition is derived under which the disturbance decoupling problem with static measurement feedback (DDPKM) is solvable for a class of multi-input and multi-output linear time-invariant systems, which have a left invertible transfer matrix function from the control input to the controlled output....

The response of a linear time-invariant process on a stochastic input signal is characterized by the transfer function. Unknown past inputs and puture output are s0u1'ces of inaccuracy in relating a finite segment of an output signal via an estimated transfer function to the corresponding input segment. These end effects are usually characterized with error bounds on the Fourier transform of th...

We are interested here in the problem of global decentralized adaptive regulation (of the plant output to zero) of square multivariable linear time-invariant systems without any restrictions on relative degrees nor matching assumptions. The rst solution to this problem was recently reported by the author using Morse's new dynamic certainty equivalent adaptive controller to prove that global sta...

The paper presents a method of determining of the Lyapunov quadratic functional for linear time-invariant system with two delays both retarded and neutral type. The Lyapunov functional is constructed for a given its time derivative which is calculated on the trajectory of the system with two delays both retarded and neutral type. The presented method gives analytical formulas for the coefficien...

This technical report summarizes various key relationships in regards to continuous time and discrete time passive systems. It includes relationships for both the linear time invariant case and the non-linear case. For the linear time invariant case we specifically discuss relationships between minimal causal positive real strictly-positive real extended strictly-positive real systems and passi...

This paper deals with linear time-invariant systems with multiple delays. We present a necessary and sufficient stability condition, expressed in terms of the delay Lyapunov matrix. This result generalizes the well known Lyapunov theorem for delay free linear systems. An illustrative example shows how to apply the presented condition.

This paper addresses the problem of robust sensor placement for large scale linear time-invariant systems. Two different concepts of robustness are analyzed: 1) the robustness with respect to one sensor failure, and 2) the robustness with respect to one link failure. We show that both aforementioned problems can be posed as a set cover problem. Due economic constraints we may be interested in c...

An assistant Modelica package is introduced which supports the determination of model frequency responses or describing functions of Modelica models, as the case may be. The result is frequency response data which can be used for further analysis such as stability properties of the system in closed loop control or the derivation of linear time invariant (LTI) model approximations. The paper add...

Consider the controlled system dx/dt = Ax + α(t)Bu where the pair (A,B) is stabilizable and α(t) takes values in [0, 1] and is persistently exciting, i.e., there exist two positive constants μ, T such that, for every t ≥ 0, ∫ t+T t α(s)ds ≥ μ. In particular, when α(t) becomes zero the system dynamics switches to an uncontrollable system. In this paper, we address the following question: is it p...