Stability of discrete-time switching systems with constrained switching sequences
نویسندگان
چکیده
منابع مشابه
Stability of discrete-time switching systems with constrained switching sequences
We introduce a novel framework for the stability analysis of discrete-time linear switching systems with switching sequences constrained by an automaton. The key element of the framework is the algebraic concept ofmultinorm,which associates a different norm per node of the automaton, and allows to exactly characterize stability. Building upon this tool, we develop the first arbitrarily accurate...
متن کاملControl of switching constrained systems
We consider a particular class of hybrid systems characterized by a finite state machine and a set of discretetime linear dynamical systems, each corresponding to a state of the machine. The hybrid control problem addressed consists of maintaining the output of the systems in a given subset of the output space, independently of the state of the FSM. Necessary and sufficient conditions are given...
متن کاملDelay Independent Stability of Linear Switching Systems with Time Delay
We consider a switching system with time delay composed of a finite number of linear delay differential equations (DDEs). Each DDE consists of a sum of a linear ODE part and a linear DDE part. We study two particular cases: (a) all the ODE parts are stable and (b) all the ODE parts are unstable and determine conditions for delay independent stability. For case (a), we extend a standard result o...
متن کاملRobust stability analysis of discrete-time systems with parametric and switching uncertainties
Robust stability analysis is investigated for discrete-time linear systems with rational dependency with respect to polytopic type uncertainties. Two type of uncertainties are considered: constant parametric uncertainties and time-varying switching uncertainties. Results are in LMI formalism and proofs involve parameter-dependent, quadratic in the state, Lyapunov functions. The new proposed con...
متن کاملA new switching strategy for exponential stabilization of uncertain discrete-time switched linear systems in guaranteed cost control problem
Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...
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: Automatica
سال: 2016
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2016.05.015