In this paper we approach the problem of moment matching for a class infinite-dimensional systems, based on unique solution an operator Sylvester equation. It results in parameterized, finite-dimensional, reduced order models that match set prescribed moments given system. We show that, by properly choosing free parameters, additional constraints are met, e.g., pole placement, preservation zeros. To illustrate proposed method, apply it to heat equation with mixed boundary conditions. obtain...

The objective of this work is to provide a theoretical formulation for optimal switching moving (or scanning) actuator distributed parameter systems. proposed hybrid controller switches both the location and control signal plant at beginning time interval remains unchanged over duration interval. This repeated different intervals. method employed based on LQR control. First, set admissible locations which can reside throughout given considered. Guiding these priori selected positions...

Dirac structures are used to mathematically formalize the power-conserving interconnection structure of physical systems. For finite-dimensional systems several representations available and it is known that composition (or interconnection) two again a structure. It also for infinite-dimensional may not be In this paper, theory linear relations in first instance provide different infinite dimensional (on Hilbert spaces): an orthogonal decomposition, scattering representation, constructive...

We obtain a representation of all self-adjoint solutions the control algebraic Riccati equation associated to infinite-dimensional state linear system Σ(A,B,C) under following assumptions: A generates C 0-group, is output stabilizable, strongly detectable and dual has an invertible non-negative solution.

This paper presents readily checkable criteria for several system theoretic properties (stability, approximate and exact controllability, exponential stabilizability) a particular class of infinite-dimensional systems, the platoon-type systems.These systems are used modeling infinite platoons vehicles which have spatially invariant dynamics.Several examples presented to illustrate theory.

Finite-dimensional approximations of partial differential equations are used not only for simulation, but also controller design. Modal truncation and numerical approximation common practical methods approximating distributed parameter systems. The modal preserves the exact, low-order poles original system. However, zeros may differ significantly from those In particular, right half-plane zeros, which present in infinite-dimensional model, appear truncations. this paper we consider a...

Dirac structures are used as the underlying structure to mathematically formalize port-Hamiltonian systems. This note approaches for infinite-dimensional systems using theory of linear relations on Hilbert spaces. First, a kernel representation is proposed. The one-to-one correspondence between and unitary operators revisited. Further, proposed scattering constructively related. Several illustrative examples also presented in paper.

Power-conserving and Dirac structures are known as an approach to mathematical modeling of physical engineering systems. In this paper connections between well tools from standard functional analysis presented. The can be seen a possible starting framework towards the study compositional properties structures.

In Jovanavic and Bamieh a comparison was made between the LQR control of long, finite platoon an infinite version. They also argue that ¿the platoons capture essence large-but-finite platoons¿. We construct examples for which this does not happen. Hence infinite-dimensional model always serve as useful paradigm it becomes increasingly long. It is clear ones needs extra assumptions. paper we provide some positive results.

We extend a sliding mode control methodology to linear evolution equations with uncertain but bounded inputs and noise in observations. first describe the reachability set of state equation form an infinite-dimensional ellipsoid, then steer minimax center this ellipsoid toward finite-dimensional surface finite time by using standard output-feedback controller equivalent form. demonstrate that designed is best (in sense) class all measurable functionals output. Our design illustrated two...