Spectral theory for the failure of linear control in a nonlinear stochastic system [PDF]
Physical Review E, 2002 We consider the failure of localized control in a nonlinear spatially extended system caused by extremely small amounts of noise. It is shown that this failure occurs as a result of a nonlinear instability. Nonlinear instabilities can occur in systems described by linearly stable but strongly nonnormal evolution operators. In spatially extended systems
Roman O. Grigoriev, Andreas Handel
openalex +5 more sources
Nonlinear control theory and chaotic dynamical systems [PDF]
Proceedings of the IEEE 1991 National Aerospace and Electronics Conference NAECON 1991, 2002 The author treats the role of multiparameters in the existence of solutions of highly coupled nonlinear dynamical systems and numerical computation of solutions. An attempt is made to develop methods applicable to control of highly coupled nonlinear dynamical systems containing multiparameters which may have a chaotic behavior.
Julian R. Jones
openalex +4 more sources
ON NONLINEAR INNER SYSTEMS AND CONNECTIONS WITH CONTROL THEORY
IFAC Proceedings Volumes, 2002 This paper extends some results involving linear inner systems to the nonlinear case. In thsi regard, the arithmetic of nonlinear inner systems is developed further and some new connections with nonlinear spectral and all-pass factorization and control theory are discussed.
Mark A. Petersen, Arjan van der Schaft
openalex +5 more sources
Discussion: “A Résumé of the Development and Literature of Nonlinear Control-System Theory” (Higgins, T. J., 1957, Trans. ASME, 79, pp. 445–449) [PDF]
, 1957 James D. Horgan
+30 more sources
Linear Theory for Control of Nonlinear Stochastic Systems [PDF]
Physical Review Letters, 2005 We address the role of noise and the issue of efficient computation in stochastic optimal control problems. We consider a class of non-linear control problems that can be formulated as a path integral and where the noise plays the role of temperature.
Hilbert J. Kappen
openalex +7 more sources
Control theory for nonlinear fractional dispersive systems
, 2022 We consider a terminal control problem for processes governed by a nonlinear system of fractional ODEs. In order to show existence of the control, we first consider the linear counterpart of the system and reprove a number of classical theorems in the fractional setting (representation of the solution through the Gramian type matrix, Kalman's principle,
Maja Jolić +2 more
openalex +4 more sources
Differential Systems and Nonlinear Control Theory
IFAC Proceedings Volumes, 1995 Abstract Techniques from exterior differential systems provide a powerful geometric tool for the study of nonlinear systems. This paper presents a sketch of the relevant ideas and indicates both the ways in which they have already made an impact in control as well as some areas of future application.
W. F. Shadwick
openalex +3 more sources
Switching control for incremental stabilization of nonlinear systems via contraction theory [PDF]
2016 European Control Conference (ECC), 2016 In this paper we present a switching control strategy to incrementally stabilize a class of nonlinear dynamical systems. Exploiting recent results on contraction analysis of switched Filippov systems derived using regularization, sufficient conditions are presented to prove incremental stability of the closed-loop system.
Mario di Bernardo, Davide Fiore
openalex +7 more sources
A bang-bang optimal control for a nonlinear system modeling the Gate Control Theory of Pain [PDF]
Discrete and Continuous Dynamical Systems - S12 ...
Gregorio Dı́az +1 more
+5 more sources
A general theory of nonlinear estimation problems in control systems
Journal of Mathematical Analysis and Applications, 1964 A. V. Balakrishnan
openalex +3 more sources