Showing papers in "Systems & Control Letters in 1995"

TL;DR: In this paper, the Lyapunov sufficient condition for "input-to-state stability" (ISS) is also shown to be necessary and sufficient, which is an open question raised by several authors.

TL;DR: A computational method is provided that can be used to compute a delay interval such that the system under consideration is stable for all delay values that lie in the computed interval.

TL;DR: In this article, the existence of a saddle point in the bounded case is obtained if the Isaacs' condition holds, and this technique is also a very simple approach for finding an optimal strategy in the case of controlled diffusions.

TL;DR: In this paper, a generalized Lyapunov theorem for continuous-time descriptor systems is presented, which is applied to the infinite-horizon descriptor LQ regulator problem, and the result is extended to continuous time descriptor systems.

TL;DR: In this paper, it was shown that a linear discrete-time system subject to input saturation is semi-globally exponentially stabilizable via linear state and/or output feedback laws.

TL;DR: In this paper, the authors consider LTI systems perturbed by parametric uncertainties, modeled as white noise disturbances, and show how to maximize, via statefeedback control, the smallest norm of the noise intensity vector producing instability in the mean square sense, using convex optimization over linear matrix inequalities.

TL;DR: In this article, the authors considered the problem of estimating the range information of features on an affine plane in R 3 by observing its image with the aid of a CCD camera, wherein the camera is undergoing a known motion.

TL;DR: In this paper, necessary and sufficient conditions for the existence of a solution to the continuous-time and discrete-time H∞ model reduction problems are derived in terms of linear matrix inequalities (LMIs) and a coupling non-convex rank constraint set.

TL;DR: In this article, a control law for stabilizing multiple input chained form control systems is presented, which extends an earlier result of Teel et al. (1994) on stabilizing the above class of systems which have two inputs.

TL;DR: In this article, a locally stabilizing smooth time-varying feedback is derived by using Center Manifold Theory combined with averaging and Lyapunov techniques, which is shown to be locally asymptotically stabilizing when the feedback is also a function of time.

TL;DR: In this paper, the authors investigated the exponential stability in mean square for a neutral stochastic differential functional equation of the form d[x(t) − G(xt)] = [f(t,x (t)) + g(t, xt)]dt + σ(t and xt)dw(t), where xt is the past history of the solution.

TL;DR: In this paper, sufficient conditions for a general nonlinear control system ∑ 1 : x = f (x, u) to be locally (resp. globally) asymptotically stabilizable via smooth state feedback were developed.

TL;DR: In this article, sufficient conditions for the existence of an invariant distribution, for all values of the delay, were given in the form of some positive definite matrices satisfying certain Riccati-type equations, and the covariance and correlation matrix function of the resulting stationary process were completely characterized by a Lyapunov-type equation.

TL;DR: Numerically reliable computational methods are proposed for the stabilization of a linear descriptor system with or without simultaneous elimination of its impulsive behavior and are based exclusively on numerically reliable procedures.

TL;DR: In this paper, the observer linearization problem is solved for a nonlinear system which may not be invertible (i.e., the mapping f may not have a local diffeomorphism).

TL;DR: In this article, the authors give necessary and sufficient conditions for feedback linearization of the transverse dynamics of a nonlinear affine single-input system in a neighborhood of a periodic orbit.

TL;DR: In this paper, it was shown that whenever the shifted matrix is formed by introducing one block of zeros in the appropriate position, then a stable model results, and the cost of this distortion is some (possibly large) distortion of the results, but in some applications that is outweighed by the advantage of guaranteed stability.

TL;DR: The concept of dynamical consistency is introduced in this paper to define a high-level transition function for an arbitrary partition of the state space of a finite input-state machine M. The existence of a dynamically consistent transition from a partition member Xi to a member Xj corresponds to the existence, for every state x in Xi, of some (x dependent) control sequence which takes that state directly into Xj.

TL;DR: In this paper, the authors give a simple iterative proof of this result and show that the optimal policy is of threshold type, i.e., the slower server should only be used if the queue length is above a certain level.

TL;DR: In this article, a robust observer for discrete time nonlinear systems is presented, whose convergence properties are guaranteed for autonomous and forced systems, and combined parameter and state estimation is made for a numerical example, comparing the robust observer to the observer given in (Ciccarella et al., 1993).

TL;DR: In this article, the adaptive control Lyapunov function (AClf) was proposed to stabilize nonlinear systems linear in unknown constant parameters, using Sontag's constructive proof of Artstein's theorem to design an adaptive controller.

TL;DR: In this paper, a generalization of this result to a class H k of nonlinear control systems with positively homogeneous (of degree k ⩾ 1) drift vector field a, is described.

TL;DR: In this paper, an elementary proof of the Routh-Hurwitz test is presented, which does not rely on Sturm chains, Cauchy index and the principle of the argument and it is fully self-contained.

TL;DR: In this paper, a number of standard robustness tests can be reinterpreted as special cases of the application of the passivity theorem with the appropriate choice of multipliers, using convex optimization over linear matrix inequalities.

TL;DR: In this article, the problem of simultaneous finite gain L p -stabilization and internal stabilization of linear systems subject to input saturation via linear static state feedback was considered, and bounded input finite-gain L p stabilization and local asymptotic stabilization can always be achieved simultaneously no matter where the poles of the open-loop system are.

TL;DR: In this article, the authors show that a single-input nonlinear system is globally asymptotically stabilizable by arbitrarily small smooth state feedback if unforced dynamics of σ are Lyapunov stable and σ satisfies appropriate controllability-like rank conditions characterized by the Lie bracket of vector fields f0(x) and g1(x).

TL;DR: In this article, a necessary and sufficient condition for observing the initial condition of a perspective system is derived, which generalizes an earlier result by Popov-Belevitch-Hautus on the problem of observing a linear dynamical system.

TL;DR: In this article, the authors discuss the asymptotic stability of non-autonomous systems by means of the direct method of Liapunov and present a theorem which offers a new criterion for stability.

TL;DR: In this paper, the problem of risk-sensitive filtering and smoothing for discrete-time Hidden Markov Models (HMM) with finite-discrete states is addressed, where the objective is to minimize the expectation of the exponential of the squared estimation error weighted by a risk sensitive parameter.

TL;DR: This article proposes a method for stabilization of an unstable periodic orbit embedded in a chaotic attractor by changing the limited continuous processing time.