This paper deals with the stability of the large-scale interconnected systems with a constrained control structure. It is assumed that the information flow matrix for an interconnected control system is given, which represents which outputs of the system are available for constructing any input signal of the system. The notion of decentralized overlapping fixed mode (DOFM) is introduced, and it...

In this paper, the min-time optimal control problem is mainly investigated in the linear time invariant (LTI) continuous-time control system with a constrained input. A high order dynamical LTI system is firstly considered for this purpose. Then the Pontryagin principle and some necessary optimality conditions have been simultaneously used to solve the optimal control problem. These optimality ...

The notion of path-complete positivity is introduced as a way to generalize the property of positivity from one LTI system to a family of switched LTI systems whose switching rule is constrained by a finite automaton. The generalization builds upon the analogy between stability and positivity, the former referring to the contraction of a norm, the latter referring to the contraction of a cone (...

The problem of time optimal feedback control of a single input, continuous time, linear time invariant (LTI) system is considered. The control input is constrained to obey |u(t)| ≤ 1. It is known that the solution to this problem is bang-bang with the input switching between the extreme values ±1 according to some “switching surfaces” in the state space. It is shown that for a class of LTI syst...

Abstract We analyze the distributional effects of macroprudential policy on mortgage cycles by exploiting U.K. register and a 2014 15% limit imposed lenders' high loan-to-income (LTI) mortgages. Constrained lenders issue fewer more expensive high-LTI mortgages, with stronger low-income borrowers. Unconstrained strongly substitute loans in local areas higher constrained lender presence, but not ...

This paper deals with the characterization of the fixed modes of multi-channel systems with respect to linear time-invariant (LTI) structurally constrained controllers. Fixed modes can be found numerically for any LTI system with respect to any given control structure, using a random number generator. The existing analytical methods, however, are not capable of characterizing the fixed modes in...

This paper deals with structurally constrained periodic control design for interconnected systems. It is assumed that the system is linear time-invariant (LTI), observable and controllable, and that its modes are distinct and nonzero. It is shown that the notions of quotient fixed mode (QFM) and structured decentralized fixed mode (SDFM) are equivalent for this class of systems. Then, it is pro...

In this paper, we propose new LMI-based conditions for robust stability/performance analysis of linear timeinvariant (LTI) uncertain systems. To get around the conservatism of existing conditions resulting from Lyapunov’s stability theory, we first consider to employ Lyapunov functions that can be associated with higher-order derivatives of the state vectors. This motivates us to introduce a re...

The integer word-length optimization known as range analysis (RA) of the fixed-point designs is a challenging problem in high level synthesis and optimization of linear-time-invariant (LTI) systems. The analysis has significant effects on the resource usage, accuracy and efficiency of the final implementation, as well as the optimization time. Conventional methods in recursive LTI systems suffe...

This paper investigates the robustness of a soft constrained LTI MPC for set-point tracking, using an `1regularised cost. The MPC using this type of cost (informally dubbed `asso-MPC) is suitable, for instance, for redundantlyactuated systems. This is because of its ability to select a set of preferred actuators, leaving the other ones at rest for most of the time. The proposed approach aims to...