Asymptotic invariance and limit sets of general control systems

Invariance Entropy of Control Sets

Invariance entropy for continuous-time control systems measures how often openloop controls have to be updated in order to render a compact and controlled invariant subset of the state space invariant. A special type of a controlled invariant set for a control-affine system is the closure of a control set, i.e., a maximal set of approximate controllability. In this paper, we investigate the pro...

Universal regular autonomous asynchronous systems: omega-limit sets, invariance and basins of attraction

The asynchronous systems are the non-deterministic real timebinary models of the asynchronous circuits from electrical engineering. Autonomy means that the circuits and their models have no input. Regularity means analogies with the dynamical systems, thus such systems may be considered to be the real time dynamical systems with a ’vector field’ Φ : {0, 1}n → {0, 1}n. Universality refers to the...

asymptotic property of order statistics and sample quntile

چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...

Non-Autonomous Systems: Asymptotic Behaviour and Weak Invariance Principles

Switched control for quantized feedback systems: invariance and limit cycles analysis

We study feedback control for discrete-time linear time-invariant systems in the presence of quantization both in the control action and in the measurement of the controlled variable. While in some application the quantization effects can be neglected, when high-precision control is needed, they have to be explicitly accounted for in control design. In this paper we propose a switched control s...