Showing papers in "Systems & Control Letters in 1984"

TL;DR: In this article, the authors give necessary and sufficient conditions for a nonlinear system to be approximated to higher order by the transform of a linear system, and the use of this technique in the design of nonlinear compensators has been suggested recently.

TL;DR: The distance between a system (A, B ) and the set of uncontrollable systems is the minimum of the smallest singular value of [λ I − A, B ] with respect to λ.

TL;DR: In this paper, necessary and sufficient conditions are given for the existence of a feedback control law under which the input-dependent part of the response of a given nonlinear system becomes linear in the input and independent of the initial state.

TL;DR: In this article, a simplified approach to the design of a mixed-sensitivity, L∞-optimal compensator is developed, which reduces the problem to Melton's broadband matching problem.

TL;DR: Probabilistic arguments are given to establish the results of that paper and the approach is simpler than the policy iteration method originally used and could be useful for similar problems.

TL;DR: In this article, a new trajectory-following adaptive control algorithm for linear, time-invariant finite-dimensional systems that possess a stable inverse is presented, and the exponential stability of the control scheme is demonstrated.

TL;DR: In this paper, a new recursive algorithm was proposed to construct a reduced-order observer with prescribed spectrum for a given observable system. The method is based on the staircase form and implicitly gives a new proof for the existence of such reduced order observers.

TL;DR: In this paper, necessary and sufficient conditions for linearization and input decoupling of general nonlinear systems are derived from the already known conditions for affine nonlinear system, and elucidating the existing theory of affine systems.

TL;DR: In this article, a notion of local observability, which is natural in the context of nonlinear input/output regulation, is introduced, and a simple characterization is provided, a comparison is made with other local nonlinear observability definitions, and its behavior under constant-rate sampling is analyzed.

TL;DR: In this paper, the asymptotic behavior of linear time-varying infinite-dimensional discrete-lime systems is considered and a generalization of the concept of spectral radius of a single operator is proposed.

TL;DR: In this paper, it was shown that controllability of the infinite eigenvalues of the pencil ( sE − A ) is equivalent to the existence of a state feedback map which assigns those eigen values to pre-specified complex numbers.

TL;DR: Methods for computing the controllable space of a Linear Dynamic System are presented, based on orthogonalizing Krylov sequences and can use much less storage than other methods with little or no loss of numerical stability.

TL;DR: In this article, the authors introduce some notions of invariant distributions, for the class of linear analytic discrete-time systems, and give an algebraic characterization of them, motivated by the usefulness of the notions introduced in the study of the geometric properties of the system.

TL;DR: In this paper, the concept of (C, A, B )-pairs for infinite-dimensional systems is introduced and applied to the disturbance decoupling problem with measurement feedback.

TL;DR: In this paper, the authors define and characterize exponential stability of 2D systems with unbounded data and show that asymptotic stability and exponential stability are equivalent properties for 1D systems.

TL;DR: In this article, an optimal control problem is formulated in the context of linear, discrete-time, time-varying systems, where the cost is the supremum, over all exogenous inputs in a weighted ball, of the sum of the weighted energies of the plant's input and output.

TL;DR: In this paper, a realistic feedback design problem is posed based on the minimization of a weighted combination of the sensitivity and complementary sensitivity matrices, and a solution is obtained which makes use of the recently proposed methods for minimizing the sensitivity function alone.

TL;DR: In this paper, it is shown that even in the case of a single input system on R 2 it will be rather difficult to find conditions sufficient to guarantee existence of a global linearization and that local conditions alone will definitely not be enough.

TL;DR: In this paper, a technique to study local and global controllability properties for a wide class of nonlinear systems is presented, which reduces to the classical Kalman condition for linear systems.

TL;DR: In this article, it is shown that the use of time-varying feedback strategies enables one to realize arbitrary invariant factors in contrast with time-invariant feedback control.

TL;DR: In this article, the use of numerical range concepts for assessing robust stability of multi-variable feedback systems is investigated, and the characterization of perturbations by their numerical range allows a more detailed description of their gains and phases and allows a robust stability theorem similar in structure to that of Postlethwaite et al.

TL;DR: In this article, the controllability problem for systems defined on principal fiber bundles is considered, in which the set of associated vector fields is invariant under the action of the structure group, and projects down on to a set of vector fields on the base space.

TL;DR: In this paper, the simultaneous stabilization problem is considered in terms of the poles and zeros on the right half plane, which is considered as an extension of the conditions previously reported.

TL;DR: In this article, necessary and sufficient conditions are presented for an input function of a single-input, linear, stationary system to be sufficiently exciting, independent of the stability properties of the linear system.

TL;DR: In this paper, the controllability of right-invariant control systems on Lie groups was studied and a generalization of these results in the general case of real semi-simple Lie groups were obtained.

TL;DR: In this article, the inertia theorems for the time-invariant Liapunov equation and Riccati equation were generalized to the case where the coefficient matrices are periodically time-varying.

TL;DR: In this paper, a simple characterization of the maximum possible rank of the product of several real matrices, when certain entries of the matrices are constrained to be zero, is presented.

TL;DR: In this article, the Riccati balancing method was extended to controller reduction using the concept of balanced coordinates originally proposed by Moore [5], and a more direct link was established between this and Moore's work and yet another candidate method was proposed as a logical extension of [2].

TL;DR: In this paper, explicit constructions are given for the solution of the Bezout equation for matrices whose coefficients are multivariate polynomials or entire functions of Paley-Wiener type.