Showing papers in "Systems & Control Letters in 1997"

TL;DR: In this article, a robust nonlinear control toolbox includes a number of methods for systems affine in deterministic bounded disturbances, but the problem when the disturbance is unbounded stochastic noise has hardly been considered.

TL;DR: In this paper, the asymptotic behavior of a two-time scale stochastic approximation algorithm is analyzed in terms of a related singular ordinary differential equation (SDE), and the authors show that the SDE is a non-asymptotic function.

TL;DR: In this paper, a dual notion, output-to-state stability (OSS), was proposed in terms of a dissipation inequality involving storage (Lyapunov) functions.

TL;DR: In this article, a general formalism for synchronization in dynamical systems encompassing most of the known definitions and applications is given, which describes synchronization of interconnected systems with respect to a set of functionals and captures peculiarities of both self-synchronization and controlled synchronization.

TL;DR: In this article, a probabilistic approach for robustness analysis of control systems affected by bounded uncertainty is presented. But the authors focus on the problem of estimating the number of samples required to estimate the probability that a certain level of robustness is attained.

TL;DR: In this paper, the authors define a process system to be a system which has actions with the Clausius-Planck and conservation properties, and show that these actions have an inner product structure and a link between the thermodynamic theory of process systems and the input-output passivity theory of nonlinear control is established.

TL;DR: In this paper, the authors investigated the use of piecewise quadratic Lyapunov functions for robust stability of linear time-varying systems and provided numerically efficient conditions for the robust asymptotic stability of the convex combinations of two matrices.

TL;DR: In this paper, the authors derive an inverse optimality result for receding-horizon control schemes using the nonlinear analog of the Fake Riccati equation developed for linear systems.

TL;DR: In this article, the authors consider the question of when is a stabilizing (in probability) controller optimal and show that for every system with a stochastic control Lyapunov function, it is possible to construct a controller which is optimal with respect to a meaningful cost functional.

TL;DR: In this article, it is shown that, if a linear system is asymptotically null-controllable with bounded controls, then, subject to both actuator position and rate saturation, it is semi-globally stabilizable by linear state feedback.

TL;DR: Easy verifiable sufficient conditions of robust asymptotic stability of linear time-delay systems subject to parametric unstructured or highly-structured perturbations are given.

TL;DR: The Ott-Grebogi-Yorke (OGY) method of controlling chaos is presented, which is a particular case of the pole placement technique, but which is the one leading to the shortest time to achieve the control of chaotic systems.

TL;DR: In this paper, a new control synthesis approach for linear parametrically varying (LPV) systems using parameter-dependent quadratic Lyapunov functions is proposed, which is formulated via a set of linear matrix inequalities (LMIs).

TL;DR: In this article, it was shown that a storage function can always be written as a quadratic function of the state of an associated linear dynamical system, which is obtained by combining the dynamics of the original system with the dynamic of the supply rate.

TL;DR: In this article, the problem of linearization of nonlinear MIMO systems by generalized input-output injection is solved as a realization problem, and necessary and sufficient conditions are obtained which generalize the ones on standard inputoutput injection linearization.

TL;DR: The main result proved is an analog of one proved for the continuous time case by the authors, and shows that such stabilization is possible if and only if the system is stabilizable with arbitrary controls and the transition matrix has spectral radius less than or equal to one.

TL;DR: In this article, it is shown that the matrix inequality problem is NP-hard and can be converted into matrix inequality problems in many control problems such as fixed order output feedback stabilization, guaranteed H2 control, and mixed H2/H∞ control.

TL;DR: In this article, a dynamic sliding mode controller design method is proposed for multiple input-output systems with additive uncertainties, where the zero dynamics of the nominal system are uniformly asymptotically (exponentially) stable.

TL;DR: In this article, the authors describe a corresponding result for stochastic systems with state-dependent white noise, showing that the small gain theorem holds for all systems with white noise.

TL;DR: For any odd integer p and any strictly positive integer n, the authors showed that feedforward systems which are approximated at the origin by a chain of integrators of degree p and length n can be globally asymptotically stabilized by bounded smooth time-invariant state feedbacks.

TL;DR: In this article, the authors show how to stabilize, in stages, arbitrary steady translations of an underwater vehicle with feedback that derives from a potential and deliberately breaks symmetry in the dynamics.

TL;DR: In this article, it was shown that when the signal noise is sufficiently regular, boundedness of the observation noise implies that the filter update operation is, on average, a strict contraction with respect to the Hilbert metric.

TL;DR: In this article, the problem of state and output feedback stabilization of nonholonomic multiple chained systems is addressed and solved using a particular class of discontinuous control laws, which guarantee exponential convergence of the closed-loop system.

TL;DR: In this article, an explicit algorithm for the solution of the nonlinear filtering problem concerning a linear, partially observed diffusion-type model, where the coefficients are driven by a hidden Markov jump process, of which one can observe the occurrence of a jump.

TL;DR: In this article, the maximum principle for the time optimal control of the Navier-Stokes equations in 2D was established, and the optimal control time was shown to be polynomial in the time complexity.

TL;DR: The approach is based on rewriting the descriptor system as an equivalent system of (explicit) differential equations on a restricted manifold and the restrictions are replaced by measurement equations.

TL;DR: A new technique is proposed, based on a Virtual Input Direct Design (VID2) approach, to reduce the control design problem into a standard non-linear mapping approximation problem, without calling for the preliminary construction of an appropriate model of the plant.

TL;DR: In this article, the problem of direct computation of the maximal structured singular value (s.s.v.) over the frequency range requires a recursive application of μ analysis, which can be solved by a single application of the v tool.

TL;DR: It is shown that, under a generic condition on the input matrix, the system is controllable, for every possible state matrix, when the activation function is the hyperbolic tangent.

TL;DR: In this article, several ways are proposed to quantify aliasing effect in discrete-time LPTV systems; these are associated with optimal time-invariant approximations of LPTV system using operator norms.