Results 251 to 260 of about 172,286 (287)

Chaos in piecewise-linear systems

Physical Review A, 1983
A new class of physical systems, those which can be described by piecewise-linear equations, are found to exhibit chaotic behavior similar to that found in previously investigated nonlinear dissipative systems. The example of a damped, sinusoidally forced harmonic oscillator with two possible spring-constant values is investigated in detail. The system
openaire   +1 more source

Linear Markov approximations of piecewise linear stochastic systems

Stochastic Analysis and Applications, 1987
This paper is concerned with the properties of piecewise linear discrete-time dynamic systems driven by white Gaussian noise. The properties of the deterministic system are explored, and condition for the existence of invariant distributions are derived.
E.I. Verriest, A.H. Haddad
openaire   +1 more source

Dynamics Analysis of Llibre-Menezes Piecewise Linear Systems

Qualitative Theory of Dynamical Systems, 2021
This paper deals with the dynamical analysis for the Llibre-Menezes piecewise linear systems. The authors give explicit parameter conditions for the existence of limit cycles and stable sliding segments, and prove the global asymptotical stability of equilibrium under the continuity of the vector field.
Zhang, Yuhong, Yang, Xiao-Song
openaire   +2 more sources

Output regulation of piecewise linear systems

2008 Chinese Control and Decision Conference, 2008
This paper proposes the output regulation method for piecewise linear systems with dynamic error-feedback based on piecewise quadratic Lyapunov functions technique. By constructing piecewise quadratic Lyapunov functions for the closed-loop augmented systems, the existence of the output regulation controller is cast as the feasibility of a set of ...
null Jianxiong Zhang, null Wansheng Tang, null Hongxia Li, null Pengsheng Zheng   +3 more
openaire   +1 more source

Analyzing piecewise linear dynamical systems

IEEE Control Systems, 1995
This article presents a method of analyzing mixed logic/dynamic systems. The article describes the development of a computational tool for the analysis of piecewise linear (PL) dynamical systems. Unfortunately, many PL controllers are developed from ad hoc "intelligent systems" ideas which do not aim or allow the associated dynamic behavior to be ...
openaire   +1 more source

Controllability of piecewise linear descriptor systems

Proceedings of the 2004 American Control Conference, 2004
The controllability of piecewise linear descriptor systems is considered in this paper. Necessary and sufficient geometric criteria for C-controllability and R-controllability of such systems are established, respectively. These conditions can be easily transformed into algebraic form. Furthermore, the intrinsic relationship between our results and the
null Guangming Xie, null Long Wang
openaire   +1 more source

Piecewise Linear Control of Nonlinear Systems

IEEE Transactions on Industrial Electronics and Control Instrumentation, 1976
Using a Taylor series expansion, nonlinear control systems are approximated about desired equilibrium points in state space as linear control systems. The techniques of the linear regulator problem are then used to calculate the linear state variable feedback gains needed to keep the system at the desired equilibrium point.
Orville Jay Oaks, Gerald Cook
openaire   +1 more source

Stability of impulsive piecewise linear systems

International Journal of Systems Science, 2013
In this article, stability of impulsive piecewise linear systems is investigated and a number of stability criteria are obtained based on Lyapunov functions. Both the stability results that impulses act as perturbation and the stability results that impulses act as stabiliser are given.
Yu Zhang, Gang Feng, Jitao Sun
openaire   +1 more source

Canonical forms of linear piecewise systems

2012 7th IEEE Conference on Industrial Electronics and Applications (ICIEA), 2012
Given a piecewise linear system defined by two linear systems operating each of one in each side of an hyperplane of the state space, we give a canonical form of its equations by means of a feedback and a change of variables.
openaire   +1 more source

NSTT for Linear and Piecewise-Linear Systems

2010
Remind that the tool of nonsmooth argument substitutions was introduced first to describe strongly nonlinear vibrations whose temporal mode shapes are asymptotically close to non-smooth ones. Such cases are known to be most difficult for analyses because different quasi-harmonic methods are already ineffective whereas nonsmooth mapping tools are still ...
openaire   +1 more source