Showing papers in "Systems & Control Letters in 1982"

TL;DR: In this paper, the stability and stabilization of a grey system whose state matrix is triangular is studied and the displacement operator and established transfer developed by the author are the indispensable tool for the grey system.

TL;DR: In this article, a complete characterization of the class of nonlinear systems which are equivalent to controllable linear systems is obtained, and an equivalence relation is established for the systems x = f(x, u).

TL;DR: In this article, it was shown that the pole assignment problem can be reduced to solving the linear matrix equations AX − XA = −BG, FX = G successively for X, and then F for almost any choice of G.

TL;DR: In this article, it was shown that the recursive least squares estimator with exponential forgetting factor is exponentially convergent for stable finite-dimensional, linear, time-invariant systems, provided the system input is persistently exciting.

TL;DR: In this paper, the authors studied the problem of local decomposition of an n-dimensional analytic manifold into independent subsystems or a cascade of subsystems and gave necessary and sufficient conditions for the existence of such local decompositions in terms of Lie algebras generated by the system.

TL;DR: In this paper, a family of linear time-invariant finite-dimensional plants is called robustly stabilizable if there exists a single controller that stabilizes each plant in the family and a condition for robust stabilizability is given that requires the plant transmission zeros to remain in the left half complex plane and moreover imposes a restriction on the high-frequency behavior of the plant transfer matrix.

TL;DR: In this article, the setpoint sequence is persistently exciting and the plant is linear, finite-dimensional, time-invariant and possesses a stable inverse, and a trajectory-following adaptive control algorithm, with exponential forgetting recursive least squares, is exponentially stable.

TL;DR: The decoupling of nonlinear systems by feedback is studied and the local or global aspect of obtained solutions is specified.

TL;DR: In this article, the invertibility of multivariable non-linear control systems is studied and the necessary and sufficient conditions for invertability are derived. But the authors focus on the controllability of the control system.

TL;DR: In this article, the Smith-McMillan factorizations at infinity of a transfer function are studied and the non-uniqueness of these factorizations is characterized via a multiplicative group of bicausal isomorphisms.

TL;DR: In this article, a design method for a linear observer for a multivariable dynamical system with distributed delays in control and output is presented, and the results of this paper extend the results recently obtained for a special case in the paper [6] to the most general dvnamical systems.

TL;DR: In this paper, conditions are derived under which a given system can be modified by means of feedback to obtain a new system whose output is influenced only by a linear and controllable dynamics.

TL;DR: In this article, the authors discuss controllability for stochastic systems and derive necessary and sufficient algebraic conditions for the control of the state and the output of white and colored noise linear systems.

TL;DR: In this article, the minimax approach is used to study numerical selection of a Lyapunov function from a multiparameter class of functions and a numerical method is suggested for plotting an absolute stability region in the space of system gains for a control system with several nonstationary nonlinearities.

TL;DR: In this article, a simple solution is given to the problem of designing a proper feedback which minimizes the H 2 norm of the sensitivity function multiplied by a suitable weighting function.

TL;DR: In this paper, the general form of the characteristic polynomial of the closed-loop periodically varying system is obtained and some detailed results are provided for the second order case, and interesting research questions are pointed out.

TL;DR: In this article, sufficient conditions such that a discrete-time time-invariant finite-dimensional system with nonnegative impulse response has a nonnegative finite-dimension realization are given.

TL;DR: In this article, the authors show that given a nonlinear stable P, the class of all controller stabilizing the feedback system is globally parametrized by a stable map Q. They also show how Q is useful in studying the effects of modeling errors on the stability.

TL;DR: Based on hyperstability theory, a new adaptation law for adaptive model-reference control systems is developed, for use with a class of nonlinear time-varying plants.

TL;DR: In this paper, the combined filtering and parameter estimation in discrete time is studied as a nonlinear filtering problem, and the measure transformation approach is used and the Zakai equation is derived.

TL;DR: In this paper, a graphical criterion in the spirit of the Nyquist criterion is derived to exploit this lack of uniqueness in order to determine whether one can achieve a stable pole placement by a judicious choice of partial realization.

TL;DR: In this paper, a simple proof of the pole assignment theorem for systems over a principal ideal domain (and other rings) is given, and an algorithm is presented to solve the problem.

TL;DR: This paper proposes to use an alternative matrix: the Page matrix and shows that this method is better suited for handling the noisy Markov parameters: order testing, noise filtering and realization.

TL;DR: In this paper, the authors relate the notion of controlled invariance to a notion of controllability for nonlinear control systems, by means of the linear ideas of a subsystem and a quotient system, they derive a very structured description of nonlinear systems.

TL;DR: In this article, an adaptive pole placement design for not necessarily minimum phase systems is analyzed with respect to stability and conditions for boundedness of closed-loop signals when the process is subject to bounded disturbances.

TL;DR: A correspondence between realizations and fractional representations over K [ z −1 ] of polynomial matrices is established and some properties of such representations are investigated.

TL;DR: In this article, a new operational calculus for computing the response of nonlinear systems to various deterministic excitations is presented, which is a natural generalization of the nonlinear domain of the Heaviside operational calculus.

TL;DR: In this article, it was shown that the most important almost controlled invariant and almost conditionally invariant subspaces introduced by J.C. Willems [4,5] are elements of the free distributive lattice generated by the well-known subspace ℬ, ℜ.

TL;DR: The paper deals with the notion of static output feedback for nonlinear systems and derived necessary and sufficient conditions are derived for ‘(C, A, B)-invariance’, here called measured controlled invariance, for non linear control systems.