How violent are fast controls?
نویسنده
چکیده
For any controllable linear system it is clear that the minimum control energy must increase unboundedly as the available time for exact control decreases to 0. This is made precise, obtaining asymptotically O(T−(K+1/2) behavior for the norm of the control operator where K is the order of the ‘least controllable’ modes (the minimal exponent for the rank condition).
منابع مشابه
How violent are fast controls?, II
For a linear autonomous system, if a state is reachable from zero in some time duration, then it is reachable within any positive time duration. However, the norm of the control that steers the zero state to the given reachable state will be increasing as the available control time shrinks. This paper gives the asymptotics of minimal L-norm controls as the time duration goes to zero; there are ...
متن کاملHow violent are fast controls, III∗
For (coupled systems of) partial differential equations for which nullcontrol is possible in arbitrarily short time, the typical blowup rate for the control cost is exponential in 1/T . It is shown how to derive this rate for a variety of systems, including the thermoelastic system with control restricted to a small patch in the domain and to a single component (thermal, displacement, or veloci...
متن کاملElectrodermal reactivity in male and female depressive patients who later died by suicide.
On the basis of earlier studies on electrodermal responsiveness in patients with suicide attempts, an investigation on electrodermal activity (EDA) in former depressive inpatients was carried out. Male and female depressive inpatients who died of suicide later and participated in an habituation experiment during their inpatient treatment were identified retrospectively and compared (strictly ma...
متن کاملSerum leptin and cholesterol values in violent and non-violent suicide attempters.
Earlier studies have linked lipid metabolism to suicide and impulsive-aggressive behaviors. We previously reported that suicide attempters had significantly lower leptin and cholesterol levels than controls. Since lower cholesterol levels have been related to violence alone, we decided to evaluate serum total cholesterol and leptin levels in violent and non-violent suicide attempters. In the pr...
متن کاملNear-Optimal Controls of a Fuel Cell Coupled with Reformer using Singular Perturbation methods
A singularly perturbed model is proposed for a system comprised of a PEM Fuel Cell(PEM-FC) with Natural Gas Hydrogen Reformer (NG-HR). This eighteenth order system is decomposedinto slow and fast lower order subsystems using singular perturbation techniques that provides tools forseparation and order reduction. Then, three different types of controllers, namely an optimal full-order,a near-opti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- MCSS
دوره 1 شماره
صفحات -
تاریخ انتشار 1988