منابع مشابه
Stabilizing Randomly Switched Systems
This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the system state; it selects, at each instant of time, the active subsystem from a family of systems. Sufficient conditions for stochastic stability (almost sur...
متن کاملStabilizing Switched Linear Systems With Unstabilizable Subsystems
This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of versions of converse control-Lyapunov function theorems are proved and their connections to the switched LQR problem are derived. It is shown that the system is exponentially stabilizable if and only if there exists a finite integer N such...
متن کاملSimulation and properties of randomly switched control systems
Power electronics has made great advances since the introduction of the thyristor in 1958. Even a casual study of consumer electronics, such as computer power supplies, reveals that switched mode power electronics have steadily replaced passive circuits. Switched mode circuits can accommodate higher power densities,' they are lighter, cheaper and easier to control. The use of microprocessors an...
متن کاملOn the stability of planar randomly switched systems
Consider the random process (Xt)t>0 solution of Ẋt = AItXt where (It)t>0 is a Markov process on {0, 1} and A0 and A1 are real Hurwitz matrices on R. Assuming that there exists λ ∈ (0, 1) such that (1−λ)A0 + λA1 has a positive eigenvalue, we establish that ‖Xt‖ may converge to 0 or +∞ depending on the the jump rate of the process I. An application to product of random matrices is studied. This p...
متن کاملApproximately bisimilar symbolic models for randomly switched stochastic systems
In the past few years there has been a growing interest in the use of symbolic models for control systems. The main reason is the possibility to leverage algorithmic techniques over symbolic models to synthesize controllers that are valid for the concrete control systems. Such controllers can enforce complex logical specifications that are otherwise hard (if not impossible) to establish on the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2011
ISSN: 0363-0129,1095-7138
DOI: 10.1137/080726720