Results 191 to 200 of about 13,562,447 (237)

A Converse Lyapunov Theorem for Linear Parameter-Varying and Linear Switching Systems

SIAM Journal on Control and Optimization, 2005
The author is interested in time varying linear systems with the structure \[ \dot x=A\bigl(\theta(t)\bigr),\quad x\in\mathbb{K}^n \] where \(\mathbb{K}=\mathbb{R}\) or \(\mathbb{C}\). Here, \(\theta(t)\) is an admissible parameter variation, meaning that \(\theta(t)\) is piecewise absolutely continuous with dwell time (i.e., length of the time ...
Fabian Wirth
exaly   +3 more sources

Cooperative control of linear parameter-varying systems

2012 American Control Conference (ACC), 2012
The state consensus problem among groups of linear parameter-varying (LPV) systems is addressed. The systems are assumed to have an identical LPV structure. We consider both homogeneous groups, where the time-varying parameters are identical, and heterogeneous groups, where the parameters can be different for all agents.
Georg S. Seyboth, Gerd S. Schmidt, Frank Allgöwer   +2 more
openaire   +1 more source

An inverse system for linear parameter-varying max-plus-linear systems

Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2004
The Max-Plus-Linear (MPL) system is a state-space description for a certain class of discrete-event-systems that are-linear in max-plus algebra. This paper considers an extended description of MPL systems with a linear parameter varying structure, which is called LPV-MPL systems, and proposes an inverse system of the LPV-MPL system, which calculates ...
Shiro Masuda, Hiroyuki Goto, Takashi Amemiya, Kazuhiro Takeyasu   +3 more
openaire   +1 more source

Approximation of linear parameter-varying systems

Proceedings of 35th IEEE Conference on Decision and Control, 2002
Two well known LTI approximation methods-balanced truncation and optimal Hankel norm approximation-are extended to the LPV framework. Quadratic stability of the approximants and generalisations of known LTI error bounds are examined. The concept of the graph operator of an LPV system is discussed.
G.D. Wood, P.J. Goddard, K. Glover
openaire   +1 more source

On Stability of Linear Varying-Parameter Systems

Journal of Applied Physics, 1951
A linear varying-parameter system is defined to be stable if and only if every bounded input produces a bounded output. It is shown that a necessary and sufficient condition for stability is that the impulsive response of the system W(t, τ) should be integrable (considered as a function τ) for all t.
openaire   +2 more sources

Stabilization of linear parameter varying systems

Proceedings of 32nd IEEE Conference on Decision and Control, 2002
Reviews two existing methods for stabilization: small-gain input/output methods and high-gain state space methods. The authors further investigate these methods in the context of possible conservatism and robustness properties. The authors then suggest possible alternative structures for linear parameter varying systems stabilization.
J.S. Shamma, null Dapeng Xiong
openaire   +1 more source

Initial Conditions in Linear Varying-Parameter Systems

Journal of Applied Physics, 1951
The problem considered in this paper is that of determining the response of an initially excited linear varying-parameter system to a given input. Mathematically, this problem reduces to solving a linear differential equation (with time-dependent coefficients) subject to prescribed initial conditions.
openaire   +1 more source

Subspace identification of multivariable linear parameter-varying systems

Automatica, 2002
A subspace identification method is discussed. It deals with multivariable linear parameter-varying state-space systems with affine parameter dependence. To overcome the problem of exponential increase in the number of rows of the data matrices, a selection procedure for reducing their numbers is proposed.
Vincent Verdult, Michel Verhaegen
openaire   +1 more source

Structured control of affine linear parameter varying systems

Proceedings of the 2011 American Control Conference, 2011
This paper presents a new procedure to design structured controllers for discrete-time affine linear parameter-varying systems (A-LPV). The class of control structures includes decentralized of any order, fixed-order output feedback, simultaneous plant-control design, among others.
Fabiano Daher Adegas, Jakob Stoustrup
openaire   +2 more sources

Recursive subspace identification of linear parameter-varying systems

2012 American Control Conference (ACC), 2012
In this paper, a recursive algorithm for blackbox identification of linear parameter-varying (LPV) systems is proposed. The algorithm belongs to the class of subspace identification methods and is based on an existing LPV subspace identification algorithm with block-processing, which is modified and extended to the recursive estimation scenario.
Michael Buchholz, Samuel Werner
openaire   +2 more sources