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(A, B)-Invariance conditions of polyhedral domains for continuous-time systems
(European Journal of Control, 1999)
This paper provides an explicit characterisation of the (A,B)-invariance property of polyhedral sets with respect to linear continuous-time systems. A typical application of the concept of (A,B)-invariance is to investigate ...
(A, B)-Invariance Conditions of Polyhedral Domains for Continuous-Time Systems
(European Journal of Control, 1999)
(A, B)-invariant polyhedral sets of linear discrete-time systems
(1999)
The problem of confining the trajectory of a linear discrete-time system in a given polyhedral domain is addressed through the concept of (A, B)-invariance. First, an explicit characterization of (A, B)-invariance of convex ...
Dynamical Invariants and Quantization of the One-Dimensional Time-Dependent, Damped, and Driven Harmonic Oscillator
(Springer, 2020-06-30)
In this paper, it is proposed a quantization procedure for the one-dimensional harmonic oscillator with time-dependent frequency, time-dependent driven force, and time-dependent dissipative term. The method is based on the ...
LMI-based digital redesign of linear time-invariant systems with state-derivative feedback
(2009-12-01)
A simple method for designing a digital state-derivative feedback gain and a feedforward gain such that the control law is equivalent to a known and adequate state feedback and feedforward control law of a digital redesigned ...
LMI-based digital redesign of linear time-invariant systems with state-derivative feedback
(2009-12-01)
A simple method for designing a digital state-derivative feedback gain and a feedforward gain such that the control law is equivalent to a known and adequate state feedback and feedforward control law of a digital redesigned ...
An extension of the invariance principle for dwell-time switched nonlinear systems
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
In this paper, we propose an extension of the invariance principle for nonlinear switched systems under dwell-time switched solutions. This extension allows the derivative of an auxiliary function V, also called a Lyapunov-like ...
On invariant polyhedra of continuous-time systems subject to additive disturbances
(Pergamon-elsevier Science LtdOxfordInglaterra, 1996)
Continuous-time probabilistic ultimate bounds and invariant sets: Computation and assignment
(Pergamon-Elsevier Science Ltd, 2016-09)
The concepts of ultimate bounds and invariant sets play a key role in several control theory problems, as they replace the notion of asymptotic stability in the presence of unknown disturbances. However, when the disturbances ...